| XLPack function list |
B: Basic functions |
M1:
Linear computation(real), M2: Linear computation(complex), M3: Special
functions, nonlinear computation, |
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| (July 27, 2025) |
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M4: Interpolation,
differential/integral equations, random numbers, M5: Sparse matrix
calculation. |
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| Subject
to change without notice |
B can be used without
license. In-app purchase of addon licenses are required to use M1 to M5. @ does not work on 32 bit Excel. |
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Deprecated (to be deleted in the
next version). |
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(*) shows the
experimental version (may be changed in the future version). (#) shows that
equivalent subroutines are also provided in version 7.0.10 or later. |
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| Category |
|
VBA routine name (WS function name) |
Functions |
V6.1 |
V7.0 |
| VBA |
WS |
Solver |
VBA |
WS |
Solver |
| A3. Real arithmetic |
A3. Real arithmetic |
D1num (#) |
IEEE
754 special numbers (double precision) |
B |
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B |
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| IsFinite (#) |
Determines
if finite value (double precision) |
B |
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B |
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| IsInf (#) |
Determines
if infinite value (double precision) |
B |
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B |
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| IsNan (#) |
Determines
if NaN (not a number) (double precision) |
B |
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B |
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| IsNormal (#) |
Determines
if nomal value (double precision) |
B |
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B |
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| Signbit (#) |
Determines
if negative value (double precision) |
B |
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B |
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| A4. Complex arithmetic |
A4. Complex arithmetic |
Creal |
Real
part of complex number |
B |
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B |
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| Cimag |
Imaginary
part of complex number |
B |
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B |
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| Cabs |
Absolute
value of complex number |
B |
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B |
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| Conj |
Conjugate
number |
B |
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B |
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| Carg |
Argument
of complex number |
B |
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B |
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| Cproj |
Projection
of complex number on Riemann sphere |
B |
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B |
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| Cmplx |
Building
complex number |
B |
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B |
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| Cpolar |
Building
complex number (polar coordinate) |
B |
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B |
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| Cminus |
Sign
inversion of complex number |
B |
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B |
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| Cadd |
Addition of
complex numbers |
B |
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B |
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| Cadd3 |
Addition of
three complex numbers |
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B |
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| Cadd4 |
Addition of
four complex numbers |
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B |
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| Cadd5 |
Addition of
five complex numbers |
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B |
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| Cdadd |
Addition of
complex number and real number |
B |
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B |
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| Dcadd |
Addition of
real number and complex number |
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B |
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| Csub |
Subtraction of
complex number from complex number |
B |
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B |
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| Cdsub |
Subtraction of
real number from complex number |
B |
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B |
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| Dcsub |
Subtraction of
complex number from real number |
B |
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B |
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| Cmul |
Multiplication
of complex numbers |
B |
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B |
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| Cmul3 |
Multiplication
of three complex numbers |
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B |
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| Cmul4 |
Multiplication
of four complex numbers |
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B |
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| Cmul5 |
Multiplication
of five complex numbers |
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B |
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| Cdmul |
Multiplication
of complex number and real number |
B |
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B |
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| Dcmul |
Multiplication
of real number and complex number |
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B |
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| Cdiv |
Division of
complex number by complex number |
B |
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B |
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| Cddiv |
Division of
complex number by real number |
B |
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B |
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| Dcdiv |
Division of
real number by complex number |
B |
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B |
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| Cpow |
Power of
complex number |
B |
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B |
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| Cdpow |
Power of a
complex number (real order) |
B |
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B |
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| Cipow |
Power of a
complex number (integer order) |
B |
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B |
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| Ceq |
Comparison of
complex numbers |
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B |
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| Cneq |
Negative
comparison of complex numbers |
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B |
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| C. Elementary and special
functions |
C1.
Integer-valued functions |
Factorial (#) |
Factorial |
B |
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B |
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| C2. Powers, roots, reciprocals |
Fma (#) (WFma) |
(x*y)+z |
B |
B |
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B |
B |
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| Hypot (#) (WHypot) |
sqrt(x^2+y^2) |
B |
B |
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B |
B |
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| Cbrt (#) (WCbrt) |
Cube
root |
B |
B |
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B |
B |
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| Csqrt |
Complex
square root |
B |
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B |
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| Ccbrt |
Complex
cube root |
B |
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B |
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| C3. Polynomials |
Laguerre (#)
(WLaguerre) |
Laguerre
polynomial Ln(x) |
M3 |
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M3 |
M3 |
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| Alaguerre (#) (WAlaguerre) |
Associated
Laguerre polynomial Lnm(x) |
M3 |
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M3 |
M3 |
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| Legendre (#) (WLegendre) |
Legendre
polynomial Pn(x) |
M3 |
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M3 |
M3 |
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| Legendred (#) (WLegendred) |
Derivative
of Legendre polynomial Pn(x) |
M3 |
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M3 |
M3 |
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| Alegendre (#) (WAlegendre) |
Associated
Legendre polynomial Pnm(x) |
M3 |
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M3 |
M3 |
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| Sharmonic (WSharmonic) |
Spherical
harmonic Ylm(θ, φ) |
M3 |
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M3 |
M3 |
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| Sharmonicr (#) (WSharmonicr) |
Real
part of spherical harmonic Ylm(θ, φ) |
M3 |
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M3 |
M3 |
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| Sharmonici (#) (WSharmonici) |
Imaginary
part of spherical harmonic Ylm(θ, φ) |
M3 |
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M3 |
M3 |
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| Hermite (#) (WHermite) |
Hermite
polynomial Hn(x) |
M3 |
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M3 |
M3 |
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| Chebt (#) (WChebt) |
Chebyshev
polynomial of first kind Tn(x) |
M3 |
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M3 |
M3 |
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| Chebtd (#) (WChebtd) |
Derivative
of Chebyshev polynomial of first kind Tn'(x) |
M3 |
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M3 |
M3 |
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| Chebu (#) (WChebu) |
Chebyshev
polynomial of second kind Un(x) |
M3 |
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M3 |
M3 |
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| Chebs |
Evaluation
of Chebyshev series |
B |
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B |
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| Gegenbauer
(#) (WGegenbauer) |
Gegenbauer
polynomial Cn(λ)(x) |
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M3 |
M3 |
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| Gegenbauerd1
(#) (WGegenbauerd1) |
First
derivative of Gegenbauer polynomial Cn(λ)(x) |
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M3 |
M3 |
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| Gegenbauerd
(#) (WGegenbauerd) |
K-th derivative
of Gegenbauer polynomial Cn(λ)(x) |
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M3 |
M3 |
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| Jacobi (#)
(WJacobi) |
Jacobi
polynomial Pn(α, β)(x) |
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M3 |
M3 |
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| Jacobid1
(#) (WJacobid1) |
First
derivative of Jacobi polynomial Pn(α, β)(x) |
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M3 |
M3 |
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| Jacobid2
(#) (WJacobid2) |
Second
derivative of Jacobi polynomial Pn(α, β)(x) |
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M3 |
M3 |
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| Jacobid (#)
(WJacobid) |
K-th derivative
of Jacobi polynomial Pn(α, β)(x) |
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M3 |
M3 |
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| C4. Elementary transcendental
functions |
Expm1 (#) (WExpm1) |
exp(x)-1 |
B |
B |
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B |
B |
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| Exp2 (#) |
2^x
(base-2 exponent of x) |
B |
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B |
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| Log1p (#) (WLog1p) |
ln(1+x) |
B |
B |
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B |
B |
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| Log2 (#) |
log2(x)
(base-2 logarithm of x) |
B |
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B |
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| Log10 |
log10(x)
(base-10 logarithm of x) |
B |
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B |
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| Sqrt1pm1 (#) |
sqrt(1 + x) - 1 |
B |
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B |
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| Powm1 (#) |
x^y - 1 |
B |
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B |
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| Sinpi (#) |
sin(πx) |
B |
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B |
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| Cospi (#) |
cos(πx) |
B |
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B |
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| Acos |
arccos(x) |
B |
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B |
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| Asin |
arcsin(x) |
B |
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B |
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| Atan2 |
arctan2(y, x) |
B |
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B |
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| Cosh |
cosh(x) |
B |
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B |
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| Sinh |
sinh(x) |
B |
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B |
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| Tanh |
tanh(x) |
B |
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B |
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| Acosh |
arccosh(x) |
B |
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B |
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| Asinh |
arcsinh(x) |
B |
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B |
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| Atanh |
arctanh(x) |
B |
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B |
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| Cexp |
Complex exp(z) |
B |
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B |
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| Clog |
Complex
ln(z) |
B |
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B |
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| Cexpm1 |
Complex
exp(z)-1 |
B |
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B |
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| Clog1p |
Complex ln(1+z) |
B |
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B |
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| Ccos |
Complex cos(z) |
B |
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B |
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| Csin |
Complex sin(z) |
B |
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B |
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| Ctan |
Complex tan(z) |
B |
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B |
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| Cacos |
Complex
arccos(z) |
B |
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B |
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| Casin |
Complex
arcsin(z) |
B |
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B |
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| Catan |
Complex
arctan(z) |
B |
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B |
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| Ccosh |
Complex cosh(z) |
B |
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B |
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| Csinh |
Complex sinh(z) |
B |
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B |
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| Ctanh |
Complex tanh(z) |
B |
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B |
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| Cacosh |
Complex
arcosh(z) |
B |
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B |
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| Casinh |
Complex
arsinh(z) |
B |
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B |
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| Catanh |
Complex
artanh(z) |
B |
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B |
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| Ccot |
Complex cot(z) |
B |
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B |
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| C5. Exponential and logarithmic
integrals |
Li (#) (WLi) |
Logarithmic
integral li(x) |
B |
B |
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B |
B |
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| Ei (#) (WEi) |
Exponential
integral Ei(x) |
B |
B |
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B |
B |
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| E1 (#) (WE_1) |
Exponential
integral E1(x) |
B |
B |
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B |
B |
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| En (#) (WEn) |
Exponential
integrals En(x) |
M3 |
M3 |
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M3 |
M3 |
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| Spence (#) (WSpence) |
Spence's
function (dilogarithm function) Li2(x) |
M3 |
M3 |
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M3 |
M3 |
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| C6. Cosine and sine integrals |
Ci (#) (WCi) |
Cosine integral
Ci(x) |
M3 |
M3 |
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M3 |
M3 |
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| Si (#) (WSi) |
Sine
integral Si(x) |
M3 |
M3 |
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M3 |
M3 |
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| Chi (#) (WChi) |
Hyperbolic
cosine integral Chi(x) |
M3 |
M3 |
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M3 |
M3 |
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| Shi (#) (WShi) |
Hyperbolic
sine integral Shi(x) |
M3 |
M3 |
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M3 |
M3 |
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| C7a. Gamma functions |
Gamma |
Gamma function
Γ(x) |
B |
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B |
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| Gamma1pm1
(#) |
Gamma function
Γ(1+x) - 1 |
M3 |
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M3 |
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| Lngam (#) |
Logarithm
of gamma function ln(Γ(x)) |
B |
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B |
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| Lngams (#) |
Logarithm
of gamma function ln|Γ(x)| and sign of gamma function |
M3 |
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M3 |
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| Gamr (#) (WGamr) |
Reciprocal
of gamma function 1/Γ(x) |
M3 |
M3 |
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M3 |
M3 |
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| Gamratio (#) |
Ratio
of gamma functions Γ(a)/Γ(b) |
M3 |
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M3 |
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| Gamdratio (#) |
Ratio
of gamma functions Γ(a)/Γ(a+δ) |
M3 |
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M3 |
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| Cgamma |
Gamma
function Γ(z) (complex argument) |
M3 |
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M3 |
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| Clngam |
Logarithm
of gamma function ln(Γ(z)) (complex argument) |
M3 |
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M3 |
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| Cgamr |
Reciprocal
of gamma function 1/Γ(z) (complex argument) |
M3 |
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M3 |
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| Poch (#) (WPoch) |
Pochhammer's
symbol (a)x |
M3 |
M3 |
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M3 |
M3 |
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| Poch1 (#) (WPoch1) |
Relative
Pochhammer's symbol ((a)x - 1)/x |
M3 |
M3 |
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M3 |
M3 |
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| C7b. Beta functions |
Beta (#) (WBeta) |
Beta function
B(a, b) |
M3 |
M3 |
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M3 |
M3 |
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| Lnbeta (#) (WLnbeta) |
Logarithm
of beta function ln(B(a,b)) |
M3 |
M3 |
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M3 |
M3 |
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| Cbeta |
Beta
function B(a, b) (complex argument) |
M3 |
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M3 |
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| Clnbeta |
Logarithm
of beta function ln(B(a, b)) (complex argument) |
M3 |
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M3 |
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| C7c. Polygamma functions |
Digamma (#)
(WDigamma) |
Digamma
(or psi) function ψ(x) |
B |
B |
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B |
B |
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| Trigamma (#) (WTrigamma) |
Trigamma
function ψ1(x) |
M3 |
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M3 |
M3 |
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| Polygamma (#) (WPolygamma) |
Polygamma
function ψn(x) |
M3 |
M3 |
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M3 |
M3 |
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| Cdigamma |
Digamma
(or psi) function ψ(z) (complex argument) |
M3 |
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M3 |
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| C7e. Incomplete Gamma functions |
Gami (#) (WGami) |
Incomplete
gamma function γ(a, x) |
M3 |
M3 |
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M3 |
M3 |
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| Gamic (#) (WGamic) |
Complementary
incomplete gamma function Γ(a, x) |
M3 |
M3 |
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M3 |
M3 |
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| Gamit (#) (WGamit) |
Tricomi's
incomplete gamma function γ*(a,
x) |
M3 |
M3 |
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M3 |
M3 |
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| Gammap (#)
(WGammap) |
Normalized
incomplete gamma function P(a, x) |
M3 |
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M3 |
M3 |
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| Gammaq (#)
(WGammaq) |
Normalized
complementary incomplete gamma function Q(a, x) |
M3 |
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M3 |
M3 |
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| Gammapi (#)
(WGammapi) |
Inverse
function of x for normalized incomplete gamma function P(a, x) |
M3 |
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M3 |
M3 |
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| Gammaqi (#)
(WGammaqi) |
Inverse
function of x for normalized complementary incomplete gamma function Q(a, x) |
M3 |
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M3 |
M3 |
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| Gammapia (#)
(WGammapia) |
Inverse
function of a for normalized incomplete gamma function P(a, x) |
M3 |
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M3 |
M3 |
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| Gammaqia (#)
(WGammaqia) |
Inverse
function of a for normalized complementary incomplete gamma function Q(a, x) |
M3 |
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M3 |
M3 |
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| Gammapd (#)
(WGammapd) |
Derivative of
normalized incomplete gamma function P(a, x) |
M3 |
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M3 |
M3 |
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| C7f. Incomplete Beta functions |
Betax (#) (WBetax) |
Incomplete
beta function Bx(a, b) |
M3 |
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M3 |
M3 |
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| Betaxc (#) (WBetaxc) |
Compliment
of incomplete beta function 1 - Bx(a, b) |
M3 |
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M3 |
M3 |
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| Ibeta (#) (WIbeta) |
Normalized
incomplete beta function Ix(a, b) |
M3 |
M3 |
|
M3 |
M3 |
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| Ibetac (#) (WIbetac) |
Normalized
compliment of incomplete beta function 1 - Ix(a, b) |
M3 |
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M3 |
M3 |
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| Ibetai (#) (WIbetai) |
Normalized
incomplete beta function Ix(a, b) inverse for x |
M3 |
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M3 |
M3 |
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| Ibetaci (#) (WIbetaci) |
Normalized
compliment of incomplete beta function 1 - Ix(a, b) inverse for x |
M3 |
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M3 |
M3 |
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| Ibetaia (#) (WIbetaia) |
Normalized
incomplete beta function Ix(a, b) inverse for a |
M3 |
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M3 |
M3 |
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| Ibetacia (#) (WIbetacia) |
Normalized
compliment of incomplete beta function 1 - Ix(a, b) inverse for a |
M3 |
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M3 |
M3 |
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| Ibetaib (#) (WIbetaib) |
Normalized
incomplete beta function Ix(a, b) inverse for b |
M3 |
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M3 |
M3 |
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| Ibetacib (#) (WIbetacib) |
Normalized
compliment of incomplete beta function 1 - Ix(a, b) inverse for b |
M3 |
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M3 |
M3 |
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| Ibetad (#) (WIbetad) |
Derivative
of normalized incomplete beta function Ix(a, b) |
M3 |
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|
M3 |
M3 |
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| C7g. Riemann zeta function |
Zeta (#) (WZeta) |
Riemann
zeta function ζ(x) |
M3 |
M3 |
|
M3 |
M3 |
|
| C8. Error functions |
Erf |
Error function
erf(x) |
B |
|
|
B |
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| Erfc |
Complementary
error function erfc(x) |
B |
|
|
B |
|
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| Erfi (#) |
Error
function erf(x) inverse |
M3 |
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M3 |
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| Erfci (#) |
Complementary
error function erf(x) inverse |
M3 |
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|
M3 |
|
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| Dawson (#) (WDawson) |
Dawson's
function F(x) |
M3 |
M3 |
|
M3 |
M3 |
|
| Fresc (#) (WFresc) |
Fresnel
integral C(x) |
M3 |
M3 |
|
M3 |
M3 |
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| Fress (#) (WFress) |
Fresnel
integral S(x) |
M3 |
M3 |
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M3 |
M3 |
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| C10a. Bessel functions |
Besj0 (#) |
Bessel
function of the first kind of order zero J0(x) |
B |
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|
B |
|
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| Besj1 (#) |
Bessel
function of the first kind of order one J1(x) |
B |
|
|
B |
|
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| Besjn (#) |
Bessel
functions of the first kind of order n Jn(x) |
M3 |
|
|
M3 |
|
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| Besjnu (#) (WBesj) |
Bessel
function of the first kind of order ν Jν(x) (fractional order) |
B |
B |
|
B |
B |
|
| Besy0 (#) |
Bessel
function of the second kind of order zero Y0(x) |
B |
|
|
B |
|
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| Besy1 (#) |
Bessel
function of the second kind of order one Y1(x) |
B |
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|
B |
|
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| Besyn (#) |
Bessel
functions of the second kind of order n Yn(x) |
M3 |
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|
M3 |
|
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| Besynu (#) (WBesy) |
Bessel
function of the second kind of order ν Yν(x) (fractional order) |
B |
B |
|
B |
B |
|
| Besjnd (#) |
Derivative
J'n(x) of Bessel function of the first kind of order n Jn(x) |
M3 |
|
|
M3 |
|
|
| Besjnud (#) (WBesjd) |
Derivative
J'ν(x) of Bessel function of the first kind of order ν Jν(x) (fractional
order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Besynd (#) |
Derivative
Y'n(x) of modified Bessel functions of the second kind of order n Yn(x) |
M3 |
|
|
M3 |
|
|
| Besynud (#) (WBesyd) |
Derivative
Y'ν(x) of Bessel function of the second kind of order ν Yν(x) (fractional
order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Sbesjn (#) |
Spherical
Bessel function of the first kind jn(x) |
M3 |
|
|
M3 |
|
|
| Sbesjnu (#) (WSbesj) |
Spherical
Bessel function of the first kind of order ν jν(x) (fractional order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Sbesyn (#) |
Spherical
Bessel function of the second kind yn(x) |
M3 |
|
|
M3 |
|
|
| Sbesynu (#) (WSbesy) |
Spherical
Bessel function of the second kind of order ν yν(x) (fractional order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Cbesh |
Sequence
of Hankel functions Hν(m)(z) (fractional order) (complex argument) |
M3 |
|
|
M3 |
|
|
| Cbesj |
Sequence
of Bessel functions of the first kind Jν(z) (fractional order) (complex
argument) |
M3 |
|
|
M3 |
|
|
| Cbesy |
Sequence
of Bessel functions of the second kind Yν(z) (fractional order) (complex
argument) |
M3 |
|
|
M3 |
|
|
| C10b. Modified Bessel functions |
Besi0 (#) |
Modified Bessel
function of the first kind of order zero I0(x) |
B |
|
|
B |
|
|
| Besi1 (#) |
Modified
Bessel function of the first kind of order one I1(x) |
B |
|
|
B |
|
|
| Besin (#) |
Modified
Bessel function of the first kind of order n In(x) |
M3 |
|
|
M3 |
|
|
| Besinu (#) (WBesi) |
Modified
Bessel function of the first kind of order ν Iν(x) (fractional order) |
B |
B |
|
B |
B |
|
| Besk0 (#) |
Modified
Bessel function of the second kind of order zero K0(x) |
B |
|
|
B |
|
|
| Besk1 (#) |
Modified
Bessel function of the second kind of order one K1(x) |
B |
|
|
B |
|
|
| Beskn (#) |
Modified
Bessel function of the second kind of order n Kn(x) |
M3 |
|
|
M3 |
|
|
| Besknu (#) (WBesk) |
Modified
Bessel function of the second kind of order ν Kν(x) (fractional order) |
B |
B |
|
B |
B |
|
| Besind (#) |
Derivative
I'n(x) of modified Bessel function of the first kind of order n In(x) |
M3 |
|
|
M3 |
|
|
| Besinud (#) (WBesid) |
Derivative
I'ν(x) of modified Bessel function of the first kind of order ν Iν(x)
(fractional order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Besknd (#) |
Derivative
K'n(x) of modified Bessel functions of the second kind of order n Kn(x) |
M3 |
|
|
M3 |
|
|
| Besknud (#) (WBeskd) |
Derivative
K'ν(x) of modified Bessel function of the second kind of order ν Kν(x)
(fractional order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Sbesin (#) |
Modified
spherical Bessel function of the first kind in(x) |
M3 |
|
|
M3 |
|
|
| Sbesinu (#) (WSbesi) |
Modified
spherical Bessel function of the first kind of order ν iν(x) (fractional
order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Sbeskn (#) |
Modified
spherical Bessel function of the second kind kn(x) |
M3 |
|
|
M3 |
|
|
| Sbesknu (#) (WSbesk) |
Modified
spherical Bessel function of the second kind of order ν kν(x) (fractional
order) |
M3 |
M3 |
|
M3 |
M3 |
|
| Cbesi |
Sequence
of modified Bessel functions of the first kind Iν(z) (fractional order)
(complex argument) |
M3 |
|
|
M3 |
|
|
| Cbesk |
Sequence
of modified Bessel functions of the second kind Kν(z) (fractional order)
(complex argument) |
M3 |
|
|
M3 |
|
|
| C10d. Airy functions |
Airyai (#) (WAiryai) |
Airy
function Ai(x) |
M3 |
M3 |
|
M3 |
M3 |
|
| Airybi (#)
(WAirybi) |
Airy function
Bi(x) |
M3 |
M3 |
|
M3 |
M3 |
|
| Airyaid (#)
(WAiryaid) |
Derivative
Ai'(x) of Airy function Ai(x) |
M3 |
M3 |
|
M3 |
M3 |
|
| Airybid (#)
(WAirybid) |
Derivative
Bi'(x) of Airy function Bi(x) |
M3 |
M3 |
|
M3 |
M3 |
|
| Cairy |
Airy
function Ai(x) or its derivative Ai'(z) (complex argument) |
M3 |
|
|
M3 |
|
|
| Cbiry |
Airy
function Bi(x) or its derivative Bi'(z) (complex argument) |
M3 |
|
|
M3 |
|
|
| C11. Hypergeometric functions |
Hyp1f1 (#) (WHyp1f1) |
Hypergeometric
function 1F1(a; b; z) (Kummer's function M(a, b, z)) |
M3 |
|
|
M3 |
M3 |
|
| Lhyp1f1 (#) (WLhyp1f1) |
Logarithm
of hypergeometric function ln|1F1(a; b; z)| |
M3 |
|
|
M3 |
M3 |
|
| Hyp1f1r (#) (WHyp1f1r) |
Regularized
hypergeometric functions 1F1(a; b; z)/Γ(b) |
M3 |
|
|
M3 |
M3 |
|
| Chu (#) (WChu) |
Confluent
hypergeometric function U(a,b,x) |
M3 |
|
|
M3 |
M3 |
|
| Hyp2f1 (#) (WHyp2f1) |
Hypergeometric
function 2F1(a1, a2; b; z) (Gaussian hypergeometric function) |
M3 |
|
|
M3 |
M3 |
|
| Hyp0f1 (#) (WHyp0f1) |
Hypergeometric
function 0F1(; b; z) |
M3 |
|
|
M3 |
M3 |
|
| Hyp1f0 (#) (WHyp1f0) |
Hypergeometric
function 1F0(a; z) |
M3 |
|
|
M3 |
M3 |
|
| Hyp2f0 (#) (WHyp2f0) |
Hypergeometric
function 2F0(a1, a2; z) |
M3 |
|
|
M3 |
M3 |
|
| Hyppfq
(WHyppfq) |
Hypergeometric
function pFq(a1, ..., ap; b1, ..., bq; z) |
|
|
|
M3 |
|
|
| C13. Jacobi elliptic functions |
Jelli |
Jacobi
elliptic functions sn(u, k), cn(u,k), dn(u, k) |
M3 |
|
|
M3 |
|
|
| Jsn (#) (WJsn) |
Jacobi
elliptic functions sn(u, k) |
M3 |
M3 |
|
M3 |
M3 |
|
| Jcn (#) (WJcn) |
Jacobi
elliptic functions cn(u, k) |
M3 |
M3 |
|
M3 |
M3 |
|
| Jdn (#) (WJdn) |
Jacobi
elliptic functions dn(u, k) |
M3 |
M3 |
|
M3 |
M3 |
|
| Jns (#) (WJns) |
Jacobi
elliptic functions ns(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jnc (#) (WJnc) |
Jacobi
elliptic functions nc(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jnd (#) (WJnd) |
Jacobi
elliptic functions nd(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jsc (#) (WJsc) |
Jacobi
elliptic functions sc(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jsd (#) (WJsd) |
Jacobi
elliptic functions sd(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jdc (#) (WJdc) |
Jacobi
elliptic functions dc(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jds (#) (WJds) |
Jacobi
elliptic functions ds(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jcs (#) (WJcs) |
Jacobi
elliptic functions cs(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jcd (#) (WJcd) |
Jacobi
elliptic functions cd(u, k) |
M3 |
|
|
M3 |
M3 |
|
| Jtheta1 (#)
(WJtheta1) |
Jacobi theta function θ1(x, q) |
|
|
|
M3 |
M3 |
|
| Jheta1t (#)
(WJtheta1t) |
Jacobi theta function θ1(x | τ) |
|
|
|
M3 |
M3 |
|
| Jtheta2 (#)
(WJtheta2) |
Jacobi theta function θ2(x, q) |
|
|
|
M3 |
M3 |
|
| Jtheta2t (#)
(WJtheta2t) |
Jacobi theta function θ2(x | τ) |
|
|
|
M3 |
M3 |
|
| Jtheta3 (#)
(WJtheta3) |
Jacobi theta function θ3(x, q) |
|
|
|
M3 |
M3 |
|
| Jtheta3t (#)
(WJtheta3t) |
Jacobi theta function θ3(x | τ) |
|
|
|
M3 |
M3 |
|
| Jtheta3m1
(#) (WJtheta3m1) |
Jacobi theta function θ3(x, q) - 1 |
|
|
|
M3 |
M3 |
|
| Jtheta3m1t
(#) (WJtheta3m1t) |
Jacobi theta function θ3(x | τ) - 1 |
|
|
|
M3 |
M3 |
|
| Jtheta4 (#)
(WJtheta4) |
Jacobi theta function θ4(x, q) |
|
|
|
M3 |
M3 |
|
| Jtheta4t (#)
(WJtheta4t) |
Jacobi theta function θ4(x | τ) |
|
|
|
M3 |
M3 |
|
| Jtheta4m1
(#) (WJtheta4m1) |
Jacobi theta function θ4(x, q) - 1 |
|
|
|
M3 |
M3 |
|
| Jtheta4m1t
(#) (WJtheta4m1t) |
Jacobi theta function θ4(x | τ) - 1 |
|
|
|
M3 |
M3 |
|
| C14. Elliptic Integrals |
Celli1 (#) (WCelli1) |
Complete
elliptic integral of the first kind K(k) |
B |
B |
|
B |
B |
|
| Celli2 (#) (WCelli2) |
Complete
elliptic integral of the second kind E(k) |
B |
B |
|
B |
B |
|
| Celli3 (#) (WCelli3) |
Complete
elliptic integral of the third kind P(n, k) |
B |
B |
|
B |
B |
|
| Elli1 (#) (WElli1) |
Incomplete
elliptic integral of the first kind F(phi, k) |
M3 |
M3 |
|
M3 |
M3 |
|
| Elli2 (#) (WElli2) |
Incomplete
elliptic integral of the second kind E(phi, k) |
M3 |
M3 |
|
M3 |
M3 |
|
| Elli3 (#) (WElli3) |
Incomplete
elliptic integral of the third kind P(phi, n, k) |
M3 |
M3 |
|
M3 |
M3 |
|
| Rc (#) (WRc) |
Carlson
form of elliptic integral RC(x, y) |
M3 |
M3 |
|
M3 |
M3 |
|
| Rd (#) (WRd) |
Carlson
form of elliptic integral RD(x, y, z) |
M3 |
M3 |
|
M3 |
M3 |
|
| Rg (#) (WRg) |
Carlson
form of elliptic integral RG(x, y, z) |
M3 |
M3 |
|
M3 |
M3 |
|
| Rf (#) (WRf) |
Carlson
form of elliptic integral RF(x, y, z) |
M3 |
M3 |
|
M3 |
M3 |
|
| Rj (#) (WRj) |
Carlson
form of elliptic integral RJ(x, y, z, p) |
M3 |
M3 |
|
M3 |
M3 |
|
| Jzeta (#)
(WJzeta) |
Jacobi zeta
function Z(φ, k) |
M3 |
|
|
M3 |
M3 |
|
| Hlambda (#)
(WHlambda) |
Heuman lambda
function Λ0(φ, k) |
|
|
|
M3 |
M3 |
|
| C19. Other special functions |
Dconst (#) (WDconst) |
Numerical
quantities |
B |
B |
|
B |
B |
|
| D. Linear
algebra |
|
|
|
|
|
|
|
|
|
| D1. Elementary vector and matrix operations |
D1a. Elementary vector operations: BLAS1 |
Daxpy |
y
<- ax + y |
M1 |
|
|
M1 |
|
|
| Dcopy |
y
<- x |
M1 |
|
|
M1 |
|
|
| Ddot (#) |
x^T
* y |
M1 |
|
|
M1 |
|
|
| Drotg |
Constructs
Givens plane rotation |
M1 |
|
|
M1 |
|
|
| Drotmg |
Constructs
modified Givens plane rotation |
M1 |
|
|
M1 |
|
|
| Drot |
Applies
Givens plane rotation |
M1 |
|
|
M1 |
|
|
| Drotm |
Applies
modified Givens plane rotation |
M1 |
|
|
M1 |
|
|
| Dscal |
x
<- ax |
M1 |
|
|
M1 |
|
|
| Dswap |
y
<-> x |
M1 |
|
|
M1 |
|
|
| Dasum (#) |
|
X | (1-norm) |
M1 |
|
|
M1 |
|
|
| Dnrm2 (#) |
||X||2
(2-norm of vector) |
M1 |
|
|
M1 |
|
|
| Zaxpy |
y
<- ax + y (complex vector) |
M2 |
|
|
M2 |
|
|
| Zcopy |
y
<- x (complex vector) |
M2 |
|
|
M2 |
|
|
| Zdotu |
x^T
* y (complex vector) |
M2 |
|
|
M2 |
|
|
| Zdotc |
x^H
* y (complex vector) |
M2 |
|
|
M2 |
|
|
| Zrotg |
Constructs
Givens plane rotation (complex vector) |
M2 |
|
|
M2 |
|
|
| Zrot |
Applies
Givens plane rotation (complex vector) |
M2 |
|
|
M2 |
|
|
| Zdrot |
Applies
Givens plane rotation (complex vector) |
M2 |
|
|
M2 |
|
|
| Zdscal |
x
<- ax (complex vector) |
M2 |
|
|
M2 |
|
|
| Zscal |
x
<- ax (complex vector) (a is real number) |
M2 |
|
|
M2 |
|
|
| Zswap |
y
<-> x (complex vector) |
M2 |
|
|
M2 |
|
|
| Dzasum |
|Re(x)|+|Im(x)|
(1-norm) (complex vector) |
M2 |
|
|
M2 |
|
|
| Dznrm2 |
||x||2
(2-norm) (complex vector) |
M2 |
|
|
M2 |
|
|
| D1a. Elementary vector
operations: BLAS2 |
Dgemv |
y
<- αAx+βy or y <- αA^Tx+βy |
M1 |
|
|
M1 |
|
|
| Dgbmv |
y
<- αAx+βy or y <- αA^Tx+βy (band matrix) |
M1 |
|
|
M1 |
|
|
| Dsymv |
y
<- αAx+βy (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsbmv |
y
<- αAx+βy (symmetric band matrix) |
M1 |
|
|
M1 |
|
|
| Dspmv |
y
<- αAx+βy (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dtrmv |
x
<- Op(A)x (Op(A) = A or A^T) (triangular matrix) |
M1 |
|
|
M1 |
|
|
| Dtbmv |
x
<- Op(A)x (Op(A) = A or A^T) (triangular band matrix) |
M1 |
|
|
M1 |
|
|
| Dtpmv |
x
<- Op(A)x (Op(A) = A or A^T) (triangular matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dtrsv |
Solution
of Op(A)x = b (Op(A) = A or A^T) (triangular matrix) |
M1 |
|
|
M1 |
|
|
| Dtbsv |
Solution
of Op(A)x = b (Op(A) = A or A^T) (triangular band matrix) |
M1 |
|
|
M1 |
|
|
| Dtpsv |
Solution
of Op(A)x = b (Op(A) = A or A^T) (triangular matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dger |
A
<- αxy^T + A |
M1 |
|
|
M1 |
|
|
| Dsyr |
A
<- αxx^T + A (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dspr |
A
<- αxx^T + A (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dsyr2 |
A
<- αxy^T + αyx^T + A (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dspr2 |
A
<- αxy^T + αyx^T + A (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Zgemv |
y
<- αOp(A)x+βy (Op(A) = A, A^T or A^H) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgbmv |
y
<- αOp(A)x+βy (Op(A) = A, A^T or A^H) (complex band matrix) |
M2 |
|
|
M2 |
|
|
| Zhemv |
y
<- αAx+βy (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhbmv |
y
<- αAx+βy (Hermitian band matrix) |
M2 |
|
|
M2 |
|
|
| Zhpmv |
y
<- αAx+βy (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zsymv |
y
<- αAx+βy (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zsbmv |
y
<- αAx+βy (complex symmetric band matrix) |
M2 |
|
|
M2 |
|
|
| Zspmv |
y
<- αAx+βy (complex symmetric matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Ztrmv |
x
<- Op(A)x (Op(A) = A, A^T or A^H) (complex triangular matrix) |
M2 |
|
|
M2 |
|
|
| Ztbmv |
x
<- Op(A)x (Op(A) = A, A^T or A^H) (complex triangular band matrix) |
M2 |
|
|
M2 |
|
|
| Ztpmv |
x
<- Op(A)x (Op(A) = A, A^T or A^H) (complex triangular matrix) (packed
form) |
M2 |
|
|
M2 |
|
|
| Ztrsv |
Solution
of Op(A)x = b (Op(A) = A, A^T or A^H) (complex triangular matrix) |
M2 |
|
|
M2 |
|
|
| Ztbsv |
Solution
of Op(A)x = b (Op(A) = A, A^T or A^H) (complex triangular band matrix) |
M2 |
|
|
M2 |
|
|
| Ztpsv |
Solution
of Op(A)x = b (Op(A) = A, A^T or
A^H) (complex triangular matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zgeru |
A
<- αxy^T + A (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgerc |
A
<- αxy^H + A (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zher |
A
<- αxx^H + A (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhpr |
A
<- αxx^H + A (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zsyr |
A
<- αxx^T + A (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zspr |
A
<- αxx^T + A (complex symmetric matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zher2 |
A
<- αxy^H + conjg(α)yx^H + A (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhpr2 |
A
<- αxy^H + conjg(α)yx^H + A (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zsyr2 |
A <- αxy^T +
αyx^T + A (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zspr2 |
A <- αxy^T +
αyx^T + A (complex symmetric matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| D1b. Elementary matrix
operations: BLAS3 |
Dgemm |
C
<- αOp(A)Op(B) + βC (Op(X) = X, X^T) |
M1 |
|
|
M1 |
|
|
| Dsymm |
C
<- αAB + βC or αBA + βC |
M1 |
|
|
M1 |
|
|
| Dtrmm |
B
<- αOp(A)B or αBOp(A) (Op(A) = A or A^T) (triangular matrix) |
M1 |
|
|
M1 |
|
|
| Dtrsm |
Solution
of Op(A)X = αB or XOp(A) = αB (Op(A) = A or A^T) |
M1 |
|
|
M1 |
|
|
| Dsyrk |
C
<- αAA^T + βC or αA^TA + βC |
M1 |
|
|
M1 |
|
|
| Dsyr2k |
C
<- αAB^T + αBA^T + βC or αA^TB + αB^TA + βC |
M1 |
|
|
M1 |
|
|
| Zgemm |
C
<- αOp(A)Op(B) + βC (Op(X) = X, X^T or X^H) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zsymm |
C
<- αAB + βC or αBA + βC (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zhemm |
C
<- αAB + βC or αBA + βC (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Ztrmm |
B
<- αOp(A)B or αBOp(A) (Op(A) = A, A^T or A^H) (complex triangular matrix) |
M2 |
|
|
M2 |
|
|
| Ztrsm |
Solution
of Op(A)X = αB or XOp(A) = αB (Op(A) = A, A^T or A^H) (complex triangular
matrix) |
M2 |
|
|
M2 |
|
|
| Zsyrk |
C
<- αAA^T + βC or αA^TA + βC (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zherk |
C
<- αAA^H + βC or αA^HA + βC (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zsyr2k |
C
<- αAB^T + αBA^T + βC or αA^TB + αB^TA + βC (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zher2k |
C
<- αAB^H + conjg(α)BA^H + βC or αA^HB + conjg(α)B^HA + βC (Hermitian
matrix) |
M2 |
|
|
M2 |
|
|
| D1b. Elementary matrix
operations: norm of matrix |
Dlange |
Norm
of matrix (general matrix) |
B |
|
|
B |
|
|
| Dlangb |
Norm
of matrix (band matrix) |
M1 |
|
|
M1 |
|
|
| Dlangt |
Norm
of matrix (tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dlansy |
Norm
of matrix (symmetric matrix) |
B |
|
|
B |
|
|
| Dlansb |
Norm
of matrix (symmetric band matrix) |
M1 |
|
|
M1 |
|
|
| Dlansp |
Norm
of matrix (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dlanst |
Norm
of matrix (symmetric tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dlantr |
Norm of matrix
(trapezoidal or triangular matrix) |
M1 |
|
|
M1 |
|
|
| Zlange |
Norm
of matrix (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zlangb |
Norm
of matrix (complex band matrix) |
M2 |
|
|
M2 |
|
|
| Zlangt |
Norm
of matrix (complex tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| Zlansy |
Norm
of matrix (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zlansb |
Norm
of matrix (complex symmetric band matrix) |
M2 |
|
|
M2 |
|
|
| Zlansp |
Norm
of matrix (complex symmetric matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zlanhe |
Norm
of matrix (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zlanhb |
Norm
of matrix (Hermitian band matrix) |
M2 |
|
|
M2 |
|
|
| Zlanhp |
Norm
of matrix (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zlanht |
Norm
of matrix (Hermitian tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| Zlantr |
Norm of matrix
(complex trapezoidal or triangular matrix) |
M2 |
|
|
M2 |
|
|
| D2. Solution of systems of linear equations |
D2a. Solution of systems of linear equations
(general matrices) |
Dgesv (WDgesv) |
(Simple driver)
Solution of system of linear equations Ax = b |
B |
B |
|
B |
B |
|
| Dgetrf |
LU
factorization of coefficient matrix |
M1 |
|
|
M1 |
|
|
| Dgetrs |
Solution of LU
factorized system of linear equations |
M1 |
|
|
M1 |
|
|
| Dgetri |
Inverse matrix |
M1 |
|
|
M1 |
|
|
| Dgesvx |
(Expert
driver)Solution of system of linear equations Ax = b |
M1 |
|
|
M1 |
|
|
| Dgecon |
Condition
number of matrix |
B |
|
|
B |
|
|
| Dsgesv |
(Simple
driver) Solution of system of linear equations Ax = b (mixed precision with
iterative refinement) |
M1 |
|
|
M1 |
|
|
| Dgbsv (WDgbsv) |
(Simple
driver) Solution of system of linear equations Ax = b (band matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dgbtrf |
LU
factorization of coefficient matrix (band matrix) |
M1 |
|
|
M1 |
|
|
| Dgbtrs |
Solution
of LU factorized system of linear equations (band matrix) |
M1 |
|
|
M1 |
|
|
| Dgbsvx |
(Expert
driver) Solution of system of linear equations Ax = b (band matrix) |
M1 |
|
|
M1 |
|
|
| Dgbcon |
Condition
number of matrix (band matrix) |
M1 |
|
|
M1 |
|
|
| Dgtsv (WDgtsv) |
(Simple
driver) Solution of system of linear equations Ax = b (tridiagonal matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dgttrf |
LU
factorization of coefficient matrix (tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dgttrs |
Solution of LU
factorized system of linear equations (tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dgtsvx |
(Expert driver)
Solution of system of linear equations Ax = b (tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dgtcon |
Condition
number of matrix (tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| D2a3. Solution of systems of
linear equations (triangular matrices) |
Dtrtrs (WDtrtrs) |
Solution of
system of linear equations Ax = b (triangular matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dtrtri |
Inverse matrix
(triangular matrix) |
M1 |
|
|
M1 |
|
|
| Dtrcon |
Condition
number of matrix (triangular matrix) |
M1 |
|
|
M1 |
|
|
| Dtptrs |
Solution
of system of linear equations Ax = b (triangular matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dtptri |
Inverse
matrix (triangular matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dtpcon |
Condition
number of matrix (triangular matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dtbtrs |
Solution
of system of linear equations Ax = b (triangular band matrix) |
M1 |
|
|
M1 |
|
|
| Dtbcon |
Condition
number of matrix (triangular band matrix) |
M1 |
|
|
M1 |
|
|
| D2b1a. Solution of systems of
linear equations (symmetric matrices) |
Dsysv (WDsysv) |
(Simple driver)
Solution of system of linear equations Ax = b (symmetric matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dsytrf |
UDU^T or LDL^T
factorization of coefficient matrix (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsytrs |
Solution of
UDU^T or LDL^T factorized system of linear equations (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsytri |
Inverse matrix
(symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsysvx |
(Expert
driver) Solution of system of linear equations Ax = b (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsycon |
Condition
number of matrix (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dspsv |
(Simple
driver) Solution of system of linear equations Ax = b (symmetric matrix)
(packed form) |
M1 |
|
|
M1 |
|
|
| Dsptrf |
UDU^T
or LDL^T factorization of coefficient matrix (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dsptrs |
Solution
of UDU^T or LDL^T factorized system of linear equations (symmetric matrix)
(packed form) |
M1 |
|
|
M1 |
|
|
| Dsptri |
Inverse
matrix (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dspsvx |
(Expert
driver) Solution of system of linear equations Ax = b (symmetric matrix)
(packed form) |
M1 |
|
|
M1 |
|
|
| Dspcon |
Condition
number of matrix (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| D2b1b. Solution of systems of
linear equations (symmetric positive definite matrices) |
Dposv (WDposv) |
(Simple driver)
Solution of system of linear equations Ax = b (symmetric positive definite
matrix) |
B |
B |
|
B |
B |
|
| Dpotrf |
Cholesky
factorization of coefficient matrix (symmetric positive definite matrix) |
M1 |
|
|
M1 |
|
|
| Dpotrs |
Solution of
Cholesky factorized system of linear equations (symmetric positive definite
matrix) |
M1 |
|
|
M1 |
|
|
| Dpotri |
Inverse matrix
(symmetric positive definite matrix) |
M1 |
|
|
M1 |
|
|
| Dposvx |
(Expert
driver) Solution of system of linear equations Ax = b (symmetric positive
definite matrix) |
M1 |
|
|
M1 |
|
|
| Dpocon |
Condition
number of matrix (symmetric positive definite matrix) |
B |
|
|
B |
|
|
| Dsposv |
(Simple
driver) Solution of system of linear equations Ax = b (symmetric positive
definite matrix) (mixed precision with iterative refinement) |
M1 |
|
|
M1 |
|
|
| Dppsv |
(Simple
driver) Solution of system of linear equations Ax = b (symmetric positive
definite matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dpptrf |
Cholesky
factorization of coefficient matrix (symmetric positive definite matrix)
(packed form) |
M1 |
|
|
M1 |
|
|
| Dpptrs |
Solution
of Cholesky factorized system of linear equations (symmetric positive
definite matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dpptri |
Inverse
matrix (symmetric positive definite matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dppsvx |
(Expert
driver) Solution of system of linear equations Ax = b (symmetric positive
definite matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dppcon |
Condition
number of matrix (symmetric positive definite matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| D2b2. Solution of systems of
linear equations (symmetric positive definite banded matrices) |
Dpbsv (WDpbsv) |
(Simple driver)
Solution of system of linear equations Ax = b (symmetric positive definite
band matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dpbtrf |
Cholesky
factorization of coefficient matrix (symmetric positive definite band matrix) |
M1 |
|
|
M1 |
|
|
| Dpbtrs |
Solution of
Cholesky factorized system of linear equations (symmetric positive definite
band matrix) |
M1 |
|
|
M1 |
|
|
| Dpbsvx |
(Expert
driver) Solution of system of linear equations Ax = b (symmetric positive
definite band matrix) |
M1 |
|
|
M1 |
|
|
| Dpbcon |
Condition
number of matrix (symmetric positive definite band matrix) |
M1 |
|
|
M1 |
|
|
| Dptsv (WDptsv) |
(Simple
driver) Solution of system of linear equations Ax = b (symmetric positive
definite tridiagonal matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dpttrf |
LDL^T
factorization of coefficient matrix (symmetric positive definite tridiagonal
matrix) |
M1 |
|
|
M1 |
|
|
| Dpttrs |
Solution
of LDL^T factorized system of linear equations (symmetric positive definite
tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dptsvx |
(Expert
driver) Solution of system of linear equations Ax = b (symmetric positive
definite tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dptcon |
Condition
number of matrix (symmetric positive definite tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| D2c. Solution of systems of
linear equations (general complex matrices) |
Zgesv (WZgesv(2)) |
(Simple driver)
Solution of system of linear equations Ax = b (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgetrf |
LU
factorization of coefficient matrix (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgetrs |
Solution of LU
factorized system of linear equations (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgetri |
Inverse matrix
(complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgesvx |
(Expert
driver) Solution of system of linear equations Ax = b (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgecon |
Condition
number of matrix (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zcgesv |
(Simple
driver) Solution of system of linear equations Ax = b (mixed precision with
iterative refinement) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgbsv (WZgbsv(2)) |
(Simple
driver) Solution of system of linear equations Ax = b (complex band matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgbtrf |
LU
factorization of coefficient matrix (complex band matrix) |
M2 |
|
|
M2 |
|
|
| Zgbtrs |
Solution
of LU factorized system of linear equations (complex band matrix) |
M2 |
|
|
M2 |
|
|
| Zgbsvx |
(Expert
driver) Solution of system of linear equations Ax = b (complex band matrix) |
M2 |
|
|
M2 |
|
|
| Zgbcon |
Condition
number of matrix (complex band matrix) |
M2 |
|
|
M2 |
|
|
| Zgtsv (WZgtsv(2)) |
(Simple
driver) Solution of system of linear equations Ax = b (complex tridiagonal
matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgttrf |
LU
factorization of coefficient matrix (complex tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| Zgttrs |
Solution
of LU factorized system of linear equations (complex tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| Zgtsvx |
(Expert
driver) Solution of system of linear equations Ax = b (complex tridiagonal
matrix) |
M2 |
|
|
M2 |
|
|
| Zgtcon |
Condition
number of matrix (complex tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| Zsysv (WZsysv(2)) |
(Simple
driver) Solution of system of linear equations Ax = b (complex symmetric
matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zsytrf |
UDU^H
or LDL^H factorization of coefficient matrix (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zsytrs |
Solution
of UDU^H or LDL^H factorized system of linear equations (complex symmetric
matrix) |
M2 |
|
|
M2 |
|
|
| Zsytri |
Inverse
matrix (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zsysvx |
(Expert
driver) Solution of system of linear equations Ax = b (complex symmetric
matrix) |
M2 |
|
|
M2 |
|
|
| Zsycon |
Condition
number of matrix (complex symmetric matrix) |
M2 |
|
|
M2 |
|
|
| Zspsv |
(Simple
driver) Solution of system of linear equations Ax = b (complex symmetric
matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zsptrf |
UDU^H
or LDL^H factorization of coefficient matrix (complex symmetric matrix)
(packed form) |
M2 |
|
|
M2 |
|
|
| Zsptrs |
Solution
of UDU^H or LDL^H factorized system of linear equations (complex symmetric
matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zsptri |
Inverse
matrix (complex symmetric matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zspsvx |
(Expert
driver) Solution of system of linear equations Ax = b (complex symmetric
matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zspcon |
Condition
number of matrix (complex symmetric matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| D2c3. Solution of systems of
linear equations (triangular complex matrices) |
Ztrtrs (WZtrtrs(2)) |
Solution of
system of linear equations Ax = b (complex triangular matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Ztrtri |
Inverse matrix
(complex triangular matrix) |
M2 |
|
|
M2 |
|
|
| Ztrcon |
Condition
number of matrix (complex triangular matrix) |
M2 |
|
|
M2 |
|
|
| Ztptrs |
Solution
of system of linear equations Ax = b (complex triangular matrix) (packed
form) |
M2 |
|
|
M2 |
|
|
| Ztptri |
Inverse
matrix (complex triangular matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Ztpcon |
Condition
number of matrix (complex triangular matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Ztbtrs |
Solution
of system of linear equations Ax = b (complex triangular band matrix) |
M2 |
|
|
M2 |
|
|
| Ztbcon |
Condition
number of matrix (complex triangular band matrix) |
M2 |
|
|
M2 |
|
|
| D2d1a. Solution of systems of
linear equations (Hermitian matrices) |
Zhesv (WZhesv(2)) |
(Simple driver)
Solution of system of linear equations Ax = b (Hermitian matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zhetrf |
UDU^H or LDL^H
factorization of coefficient matrix (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhetrs |
Solution of
UDU^H or LDL^H factorized system of linear equations (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhetri |
Inverse matrix
(Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhesvx |
(Expert
driver) Solution of system of linear equations Ax = b (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhecon |
Condition
number of matrix (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhpsv |
(Simple
driver) Solution of system of linear equations Ax = b (Hermitian matrix)
(packed form) |
M2 |
|
|
M2 |
|
|
| Zhptrf |
UDU^H
or LDL^H factorization of coefficient matrix (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zhptrs |
Solution
of UDU^H or LDL^H factorized system of linear equations (Hermitian matrix)
(packed form) |
M2 |
|
|
M2 |
|
|
| Zhptri |
Inverse
matrix (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zhpsvx |
(Expert
driver) Solution of system of linear equations Ax = b (Hermitian matrix)
(packed form) |
M2 |
|
|
M2 |
|
|
| Zhpcon |
Condition
number of matrix (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| D2d1b. Solution of systems of
linear equations (positive definite Hermitian matrices) |
Zposv (WZposv(2)) |
(Simple
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zpotrf |
Cholesky
factorization of coefficient matrix (Hermitian positive definite matrix) |
M2 |
|
|
M2 |
|
|
| Zpotrs |
Solution of
Cholesky factorized system of linear equations (Hermitian positive definite
matrix) |
M2 |
|
|
M2 |
|
|
| Zpotri |
Inverse matrix
(Hermitian positive definite matrix) |
M2 |
|
|
M2 |
|
|
| Zposvx |
(Expert
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite matrix) |
M2 |
|
|
M2 |
|
|
| Zpocon |
Condition
number of matrix (Hermitian positive definite matrix) |
M2 |
|
|
M2 |
|
|
| Zcposv |
(Simple
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite matrix) (mixed precision with iterative refinement) |
M2 |
|
|
M2 |
|
|
| Zppsv |
(Simple
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zpptrf |
Cholesky
factorization of coefficient matrix (Hermitian positive definite matrix)
(packed form) |
M2 |
|
|
M2 |
|
|
| Zpptrs |
Solution
of Cholesky factorized system of linear equations (Hermitian positive
definite matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zpptri |
Inverse
matrix (Hermitian positive definite matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zppsvx |
(Expert
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zppcon |
Condition
number of matrix (Hermitian positive definite matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| D2d2. Solution of systems of
linear equations (positive definite banded Hermitian matrices) |
Zpbsv (WZpbsv(2)) |
(Simple driver)
Solution of system of linear equations Ax = b (Hermitian positive definite
band matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zpbtrf |
Cholesky
factorization of coefficient matrix (Hermitian positive definite band matrix) |
M2 |
|
|
M2 |
|
|
| Zpbtrs |
Solution of
Cholesky factorized system of linear equations (Hermitian positive definite
band matrix) |
M2 |
|
|
M2 |
|
|
| Zpbsvx |
(Expert
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite band matrix) |
M2 |
|
|
M2 |
|
|
| Zpbcon |
Condition
number of matrix (Hermitian positive definite band matrix) |
M2 |
|
|
M2 |
|
|
| Zptsv (WZptsv(2)) |
(Simple
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite tridiagonal matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zpttrf |
LDL^H
factorization of coefficient matrix (Hermitian positive definite tridiagonal
matrix) |
M2 |
|
|
M2 |
|
|
| Zpttrs |
Solution
of LDL^H factorized system of linear equations (Hermitian positive definite
tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| Zptsvx |
(Expert
driver) Solution of system of linear equations Ax = b (Hermitian positive
definite tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| Zptcon |
Condition
number of matrix (Hermitian positive definite tridiagonal matrix) |
M2 |
|
|
M2 |
|
|
| D4. Eigenvalues and eigenvectors |
D4a1. Ordinary eigenvalue problems (symmetric
matrices) |
Dsyev (WDsyev) |
(Simple driver)
Eigenvalues and eigenvectors (symmetric matrix) |
B |
B |
|
B |
B |
|
| Dsyevd |
(Divide and
conquer driver) Eigenvalues and eigenvectors (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsyevr |
(MRRR driver)
Eigenvalues and eigenvectors (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsyevx |
(Expert driver)
Eigenvalues and eigenvectors (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsytrd |
Reduces a real
symmetric matrix to tridiagonal form |
M1 |
|
|
M1 |
|
|
| Dorgtr |
Generates a
transform matrix from a real symmetric matrix to tridiagonal form |
M1 |
|
|
M1 |
|
|
| Dormtr |
Multiplies by a
transform matrix from a real symmetric matrix to tridiagonal form |
M1 |
|
|
M1 |
|
|
| Dsteqr |
Eigenvalues and
eigenvectors of a symmetric tridiagonal matrix (QL or QR method) |
M1 |
|
|
M1 |
|
|
| Dsterf |
Eigenvalues of
a symmetric tridiagonal matrix (QL or QR method) |
M1, M2 |
|
|
M1, M2 |
|
|
| Dstedc |
Eigenvalues and
eigenvectors of a symmetric tridiagonal matrix (Divide and conquer method) |
M1 |
|
|
M1 |
|
|
| Dstemr |
Eigenvalues and
eigenvectors of a symmetric tridiagonal matrix (MRRR method) |
M1 |
|
|
M1 |
|
|
| Dstebz |
Eigenvalues of
a symmetric tridiagonal matrix (Bisection method) |
M1. M2 |
|
|
M1. M2 |
|
|
| Dstein |
Eigenvectors of
a symmetric tridiagonal matrix (Inverse iteration method) |
M1 |
|
|
M1 |
|
|
| Dpteqr |
Eigenvalues and
eigenvectors of a symmetric positive definite tridiagonal matrix |
M1 |
|
|
M1 |
|
|
| Dspev |
(Simple driver)
Eigenvalues and eigenvectors (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dspevd |
(Divide and
conquer driver) Eigenvalues and eigenvectors (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dspevx |
(Expert driver)
Eigenvalues and eigenvectors (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dsptrd |
Reduces a real
symmetric matrix to tridiagonal form (packed form) |
M1 |
|
|
M1 |
|
|
| Dopgtr |
Generates a
transform matrix from a real symmetric matrix to tridiagonal form (packed
form) |
M1 |
|
|
M1 |
|
|
| Dopmtr |
Multiplies by a
transform matrix from a real symmetric matrix to tridiagonal form (packed
form) |
M1 |
|
|
M1 |
|
|
| Dsbev (WDsbev) |
(Simple
driver) Eigenvalues and eigenvectors (symmetric band matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dsbevd |
(Divide
and conquer driver) Eigenvalues and eigenvectors (symmetric band matrix) |
M1 |
|
|
M1 |
|
|
| Dsbevx |
(Expert
driver) Eigenvalues and eigenvectors (symmetric band matrix) |
M1 |
|
|
M1 |
|
|
| Dsbtrd |
Reduces
a real symmetric band matrix to tridiagonal form |
M1 |
|
|
M1 |
|
|
| Dstev (WDstev) |
(Simple
driver) Eigenvalues and eigenvectors (symmetric tridiagonal matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dstevd |
(Divide
and conquer driver) Eigenvalues and eigenvectors (symmetric tridiagonal
matrix) |
M1 |
|
|
M1 |
|
|
| Dstevr |
(MRRR
driver) Eigenvalues and eigenvectors (symmetric tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Dstevx |
(Expert
driver) Eigenvalues and eigenvectors (symmetric tridiagonal matrix) |
M1 |
|
|
M1 |
|
|
| Ddisna |
Condition
numbers for the eigenvectors |
M1. M2 |
|
|
M1. M2 |
|
|
| D4a2. Ordinary eigenvalue
problems (general matrices) |
Dgeev (WDgeev) |
(Simple driver)
Eigenvalues and eigenvectors |
M1 |
M1 |
|
M1 |
M1 |
|
| Dgeevx |
(Expert driver)
Eigenvalues and eigenvectors |
M1 |
|
|
M1 |
|
|
| Dgehrd |
Reduces a real
general matrix to upper Hessenberg form |
M1 |
|
|
M1 |
|
|
| Dgebal |
Balancing of a
real general matrix |
M1 |
|
|
M1 |
|
|
| Dgebak |
Eigenvectors of
original real general matrix by backward transformation on balanced matrix |
M1 |
|
|
M1 |
|
|
| Dorghr |
Generates a
transform matrix to Hessenberg form |
M1 |
|
|
M1 |
|
|
| Dormhr |
Multiplies by a
transform matrix to Hessenberg form |
M1 |
|
|
M1 |
|
|
| Dhseqr |
Eigenvalues and
Schur factorization of Hessenberg matrix (QR method) |
M1 |
|
|
M1 |
|
|
| Dhsein |
Eigenvectors of
Hessenberg matrix (Inverse iteration method) |
M1 |
|
|
M1 |
|
|
| Dtrevc3 |
Eigenvectors of
quasi-triangular matrix of Schur factorization |
M1 |
|
|
M1 |
|
|
| Dtrexc |
Reordering of
real Schur factorization of real matrix |
M1 |
|
|
M1 |
|
|
| Dtrsyl |
Solve real
Sylvester matrix equation |
M1 |
|
|
M1 |
|
|
| Dtrsna |
Condition
numbers for eigenvalues and/or eigenvectors of upper quasi-triangular matrix |
M1 |
|
|
M1 |
|
|
| Dtrsen |
Reordering
of real Schur factorization of real matrix and condition numbers of cluster
of eigenvalues and/or invariant subspace |
M1 |
|
|
M1 |
|
|
| Dgees |
(Simple
driver) Schur decomposition |
M1 |
|
|
M1 |
|
|
| Dgees_r |
(Simple
driver) Schur decomposition (reverse communication version) |
M1 |
|
|
M1 |
|
|
| Dgeesx |
(Expert
driver) Schur decomposition |
M1 |
|
|
M1 |
|
|
| Dgeesx_r |
(Expert
driver) Schur decomposition (reverse communication version) |
M1 |
|
|
M1 |
|
|
| D4a3. Ordinary eigenvalue problems (Hermitian
matrices) |
Zheev (WZheev(2)) |
(Simple driver)
Eigenvalues and eigenvectors (Hermitian matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zheevd |
(Divide and conquer driver)
Eigenvalues and eigenvectors (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zheevr |
(MRRR driver) Eigenvalues and
eigenvectors (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zheevx |
(Expert driver) Eigenvalues and
eigenvectors (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhetrd |
Reduces a real Hermitian matrix
to tridiagonal form |
M2 |
|
|
M2 |
|
|
| Zungtr |
Generates a transform matrix
from a complex Hermitian matrix to tridiagonal form |
M2 |
|
|
M2 |
|
|
| Zunmtr |
Multiplies by a transform
matrix from a complex Hermitian matrix to tridiagonal form |
M2 |
|
|
M2 |
|
|
| Zsteqr |
Eigenvalues and eigenvectors of
a symmetric tridiagonal matrix to which a Hermitian matrix was reduced (QL or
QR method) |
M2 |
|
|
M2 |
|
|
| Zstedc |
Eigenvalues and eigenvectors of
a symmetric tridiagonal matrix to which a Hermitian matrix was reduced
(Divide and conquer method) |
M2 |
|
|
M2 |
|
|
| Zstemr |
Eigenvalues and eigenvectors of
a symmetric tridiagonal matrix to which a Hermitian matrix was reduced (MRRR
method) |
M2 |
|
|
M2 |
|
|
| Zstein |
Eigenvectors of a symmetric
tridiagonal matrix to which a Hermitian matrix was reduced (Inverse iteration
method) |
M2 |
|
|
M2 |
|
|
| Zpteqr |
Eigenvalues and eigenvectors of
symmetric positive definite tridiagonal matrix to which a Hermitian matrix
was reduced |
M2 |
|
|
M2 |
|
|
| Zhpev |
(Simple driver) Eigenvalues and
eigenvectors (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zhpevd |
(Divide and conquer driver)
Eigenvalues and eigenvectors (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zhpevx |
(Expert driver) Eigenvalues and
eigenvectors (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zhptrd |
Reduces a real Hermitian matrix
to tridiagonal form (packed form) |
M2 |
|
|
M2 |
|
|
| Zupgtr |
Generates a transform matrix
from a complex Hermitian matrix to tridiagonal form (packed form) |
M2 |
|
|
M2 |
|
|
| Zupmtr |
Multiplies by a transform
matrix from a complex Hermitian matrix to tridiagonal form (packed form) |
M2 |
|
|
M2 |
|
|
| Zhbev (WZhbev(2)) |
(Simple driver)
Eigenvalues and eigenvectors (Hermitian band matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zhbevd |
(Divide and
conquer driver) Eigenvalues and eigenvectors (Hermitian band matrix) |
M2 |
|
|
M2 |
|
|
| Zhbevx |
(Expert driver)
Eigenvalues and eigenvectors (Hermitian band matrix) |
M2 |
|
|
M2 |
|
|
| Zhbtrd |
Reduces a real
Hermitian band matrix to tridiagonal form |
M2 |
|
|
M2 |
|
|
| D4a4. Ordinary eigenvalue problems (general
complex matrices) |
Zgeev (WZgeev(2)) |
(Simple driver) Eigenvalues and
eigenvectors (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgeevx |
(Expert driver) Eigenvalues and
eigenvectors (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgehrd |
Reduces a general matrix to
upper Hessenberg form (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgebal |
Balancing of a general matrix
(complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgebak |
Eigenvectors of original
general matrix by backward transformation on balanced matrix (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zunghr |
Generates a transform matrix to
Hessenberg form (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zunmhr |
Multiplies by a transform
matrix to Hessenberg form (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zhseqr |
Eigenvalues and Schur
factorization of Hessenberg matrix (QR method) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zhsein |
Eigenvectors of Hessenberg
matrix (Inverse iteration method) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Ztrevc3 |
Eigenvectors of triangular
matrix of Schur factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| Ztrexc |
Reordering of Schur
factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| Ztrsyl |
Solve real Sylvester matrix
equation (complex matrix) |
M2 |
|
|
M2 |
|
|
| Ztrsna |
Condition numbers for
eigenvalues and/or eigenvectors of upper triangular matrix (complex matrix) |
M2 |
|
|
M2 |
|
|
| Ztrsen |
Reordering of real Schur
factorization and condition numbers of cluster of eigenvalues and/or
invariant subspace (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgees |
(Simple
driver) Schur decomposition (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgees_r |
(Simple
driver) Schur decomposition (complex matrix) (reverse communication version) |
M2 |
|
|
M2 |
|
|
| Zgeesx |
(Expert
driver) Schur decomposition (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgeesx_r |
(Expert
driver) Schur decomposition (complex matrix) (reverse communication version) |
M2 |
|
|
M2 |
|
|
| D4b1. Generalized eigenvalue
problems (symmetric matrices) |
Dsygv (WDsygv) |
(Simple
driver) Generalized eigenvalue problem (symmetric matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dsygvd |
(Divide
and conquer driver) Generalized eigenvalue problem (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dsygvx |
(Expert
driver) Generalized eigenvalue problem (symmetric matrix) |
M1 |
|
|
M1 |
|
|
| Dspgv |
(Simple
driver) Generalized eigenvalue problem (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dspgvd |
(Divide
and conquer driver) Generalized eigenvalue problem (symmetric matrix) (packed
form) |
M1 |
|
|
M1 |
|
|
| Dspgvx |
(Expert
driver) Generalized eigenvalue problem (symmetric matrix) (packed form) |
M1 |
|
|
M1 |
|
|
| Dsbgv (WDsbgv) |
(Simple
driver) Generalized eigenvalue problem (symmetric band matrix) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dsbgvd |
(Divide
and conquer driver) Generalized eigenvalue problem (symmetric band matrix) |
M1 |
|
|
M1 |
|
|
| Dsbgvx |
(Expert driver)
Generalized eigenvalue problem (symmetric band matrix) |
M1 |
|
|
M1 |
|
|
| D4b2. Generalized eigenvalue
problems (general matrices) |
Dggev (WDggev) |
(Simple driver)
Generalized eigenvalue problem |
M1 |
M1 |
|
M1 |
M1 |
|
| Dggevx |
(Expert
driver) Generalized eigenvalue problem |
M1 |
|
|
M1 |
|
|
| Dgges |
(Simple
driver) Generalized Schur decomposition |
M1 |
|
|
M1 |
|
|
| Dgges_r |
(Simple
driver) Generalized Schur decomposition (reverse communication version) |
M1 |
|
|
M1 |
|
|
| Dggesx |
(Expert
driver) Generalized Schur decomposition |
M1 |
|
|
M1 |
|
|
| Dggesx_r |
(Expert
driver) Generalized Schur decomposition (reverse communication version) |
M1 |
|
|
M1 |
|
|
| D4b3. Generalized eigenvalue
problems (Hermitian matrices) |
Zhegv (WZhegv(2)) |
(Simple
driver) Generalized eigenvalue problem (Hermitian matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zhegvd |
(Divide
and conquer driver) Generalized eigenvalue problem (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhegvx |
(Expert
driver) Generalized eigenvalue problem (Hermitian matrix) |
M2 |
|
|
M2 |
|
|
| Zhpgv |
(Simple
driver) Generalized eigenvalue problem (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zhpgvd |
(Divide
and conquer driver) Generalized eigenvalue problem (Hermitian matrix) (packed
form) |
M2 |
|
|
M2 |
|
|
| Zhpgvx |
(Expert
driver) Generalized eigenvalue problem (Hermitian matrix) (packed form) |
M2 |
|
|
M2 |
|
|
| Zhbgv (WZhbgv(2)) |
(Simple
driver) Generalized eigenvalue problem (Hermitian band matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zhbgvd |
(Divide
and conquer driver) Generalized eigenvalue problem (Hermitian band matrix) |
M2 |
|
|
M2 |
|
|
| Zhbgvx |
(Expert driver)
Generalized eigenvalue problem (Hermitian band matrix) |
M2 |
|
|
M2 |
|
|
| D4b4. Generalized eigenvalue
problems (general complex matrices) |
Zggev (WZggev(2)) |
(Simple driver)
Generalized eigenvalue problem (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zggevx |
(Expert
driver) Generalized eigenvalue problem (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgges |
(Simple
driver) Generalized Schur decomposition (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgges_r |
(Simple
driver) Generalized Schur decomposition (complex matrix) (reverse
communication version) |
M2 |
|
|
M2 |
|
|
| Zggesx |
(Expert
driver) Generalized Schur decomposition (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zggesx_r |
(Expert
driver) Generalized Schur decomposition (complex matrix) (reverse
communication version) |
M2 |
|
|
M2 |
|
|
| D5. QR factorization |
D5. QR factorization |
Dgeqp3 |
QR
factorization with pivoting |
M1 |
|
|
M1 |
|
|
| Dgeqrf |
QR
factorization |
M1 |
|
|
M1 |
|
|
| Dorgqr |
Generates
matrix Q of QR factorization |
M1 |
|
|
M1 |
|
|
| Dormqr |
Multiplies
matrix Q of QR factorization |
M1 |
|
|
M1 |
|
|
| Dgelqf |
LQ
factorization |
M1 |
|
|
M1 |
|
|
| Dorglq |
Generates
matrix Q of LQ factorization |
M1 |
|
|
M1 |
|
|
| Dormlq |
Multiplies
matrix Q of LQ factorization |
M1 |
|
|
M1 |
|
|
| Zgeqp3 |
QR
factorization with pivoting (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgeqrf |
QR
factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zungqr |
Generates
matrix Q of QR factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zunmqr |
Multiplies
matrix Q of QR factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgelqf |
LQ
factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zunglq |
Generates
matrix Q of LQ factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zunmlq |
Multiplies
matrix Q of LQ factorization (complex matrix) |
M2 |
|
|
M2 |
|
|
| D6. Singular value decomposition |
D6. Singular value decomposition (SVD) |
Dgesvd (WDgesvd) |
(Simple
driver) Singular value decomposition (SVD) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dgesvdx |
(Expert
driver) Singular value decomposition (SVD) |
M1 |
|
|
M1 |
|
|
| Dgesdd |
(Divide
and conquer driver) Singular value decomposition (SVD) |
M1 |
|
|
M1 |
|
|
| Dgesvdq |
Singular
value decomposition (SVD) (preconditioned QR method) |
M1 |
|
|
M1 |
|
|
| Dgejsv |
Singular
value decomposition (SVD) (preconditioned Jacobi SVD algorithm) |
M1 |
|
|
M1 |
|
|
| Dggsvd3 (WDggsvd3) |
Generalized
singular value decomposition (GSVD) |
M1 |
M1 |
|
M1 |
M1 |
|
| Zgesvd (WZgedvs(2)) |
(Simple
driver) Singular value decomposition (SVD) (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgesvdx |
(Expert
driver) Singular value decomposition (SVD) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgesdd |
(Divide
and conquer driver) Singular value decomposition (SVD) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgesvdq |
Singular
value decomposition (SVD) (preconditioned QR method) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgejsv |
Singular
value decomposition (SVD) (preconditioned Jacobi SVD algorithm) (complex
matrix) |
M2 |
|
|
M2 |
|
|
| Zggsvd3(WZggsvd3(2)) |
Generalized
singular value decomposition (GSVD) (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| D9. Overdetermined or underdetermined systems of
linear equations |
D9a.
Overdetermined or underdetermined systems of linear equations (unconstrained) |
Dgels (WDgels) |
Full
rank overdetermined or underdetermined linear systems |
B |
B |
|
B |
B |
|
| Dgetsls |
Full rank overdetermined or underdetermined linear systems (Tall skinny QR or Short wide LQ factorization) |
M1 |
|
|
M1 |
|
|
| Dgelsy (WDgelsy) |
Overdetermined
or underdetermined linear systems (orthogonal factorization) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dgelss (WDgelss) |
Overdetermined
or underdetermined linear systems (SVD) |
M1 |
M1 |
|
M1 |
M1 |
|
| Dgelsd |
Overdetermined
or underdetermined linear systems (SVD) (Divide and conquer method) |
M1 |
|
|
M1 |
|
|
| Zgels
(WZgels(2)) |
Full rank
overdetermined or underdetermined linear systems (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgetsls |
Full rank
overdetermined or underdetermined linear systems (Tall skinny QR or Short
wide LQ factorization) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgelsy (WZgelsy(2)) |
Overdetermined
or underdetermined linear systems (orthogonal factorization) (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgelss (WZgelss(2)) |
Overdetermined
or underdetermined linear systems (SVD) (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zgelsd |
Overdetermined
or underdetermined linear systems (SVD) (Divide and conquer method) (complex
matrix) |
M2 |
|
|
M2 |
|
|
| Dgecov |
Variance-covariance
matrix of LLS factorized by Dgels |
B |
|
|
B |
|
|
| Dgecovy |
Variance-covariance
matrix of LLS factorized by Dgelsy |
M1 |
|
|
M1 |
|
|
| Dgecovs |
Variance-covariance
matrix of LLS factorized by Dgelss |
M1 |
|
|
M1 |
|
|
| Zgecov |
Variance-covariance
matrix of LLS factorized by Zgels (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgecovy |
Variance-covariance
matrix of LLS factorized by Zgelsy (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zgecovs |
Variance-covariance
matrix of LLS factorized by Zgelss (complex matrix) |
M2 |
|
|
M2 |
|
|
| D9b. Overdetermined or underdetermined systems of linear
equations (constrained) |
Dgglse (WDgglse) |
Linear
equality-constrained least squares (LSE) problem |
M1 |
M1 |
|
M1 |
M1 |
|
| Dggglm (WDggglm) |
General
Gauss-Markov linear model (GLM) problem |
M1 |
M1 |
|
M1 |
M1 |
|
| Zgglse (WZgglse(2)) |
Linear
equality-constrained least squares (LSE) problem (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| Zggglm (WZggglm(2)) |
General
Gauss-Markov linear model (GLM) problem (complex matrix) |
M2 |
M2 |
|
M2 |
M2 |
|
| E. Interpolation |
E. Interpolation (polynomial interpolation) |
Polint |
Polynomial
interpolation |
M4 |
|
|
M4 |
|
|
| Polyvl |
Value
of polynomial and derivatives |
M4 |
|
|
M4 |
|
|
| Polcof |
Coefficients
of polynomial interpolation |
M4 |
|
|
M4 |
|
|
| Fitlag |
Iterative
Lagrange interpolation |
M4 |
|
|
M4 |
|
|
| E. Interpolation (piecewise cubic Hermite
interpolation / cubic spline interpolation) |
Pchim |
Piecewise
cubic Hermite interpolation (default boundary conditions) |
M4 |
|
|
M4 |
|
|
| Pchic |
Piecewise
cubic Hermite interpolation |
M4 |
|
|
M4 |
|
|
| Pchse
(WPchse) |
Piecewise cubic
spline interpolation ("not a not" condition) |
B |
B |
|
B |
B |
|
| Pchsp |
Piecewise cubic
spline interpolation |
M4 |
|
|
M4 |
|
|
| Pchfe
(WPchfe) |
Evaluation of
function values for piecewise cubic Hermite (or cubic spline) interpolation |
B |
B |
|
B |
B |
|
| Pchfd |
Evaluation of
function and derivative values for piecewise cubic Hermite (or cubic spline)
interpolation |
M4 |
|
|
M4 |
|
|
| Chfev |
Cubic Hermite
function values |
M4 |
|
|
M4 |
|
|
| Chfdv |
Cubic Hermite
function and derivative values |
M4 |
|
|
M4 |
|
|
| Pchbs |
Piecewise cubic
Hermite to B-spline conversion |
M4 |
|
|
M4 |
|
|
| Pchcm |
Monotonicity
check for piecewise cubic Hermite function |
M4 |
|
|
M4 |
|
|
| E. Interpolation (B-spline interpolation) |
Bint4 |
B-representation
of cubic spline interpolation |
M4 |
|
|
M4 |
|
|
| Bintk |
B-representation
of k-th order spline interpolation |
M4 |
|
|
M4 |
|
|
| Bvalue |
Evaluation
of function or derivative value for B-representation of B-spline |
M4 |
|
|
M4 |
|
|
| Ppvalu |
Evaluation
of function or derivative value for PP (piecewise polynomial) form of
B-spline |
M4 |
|
|
M4 |
|
|
| Bsplpp |
B-representation
to PP (piecewise polynomial) form of B-spline conversion |
M4 |
|
|
M4 |
|
|
| Bsplvn |
Compute
the value of B-spline basis functions |
M4 |
|
|
M4 |
|
|
| Bsplvd |
Compute
the value and the derivatives of B-spline basis functions |
M4 |
|
|
M4 |
|
|
| Bspldr |
Construct
a divided difference table from B-representation for derivative calculation
by Bsplev |
M4 |
|
|
M4 |
|
|
| Bsplev |
Evaluation
of function and derivative values for B-representation of B-spline |
M4 |
|
|
M4 |
|
|
| Interv |
Compute Ileft
for the input to Bsplvn and Bsplvd |
M4 |
|
|
M4 |
|
|
| Banfac |
LU
factorization of banded coefficient matrix of system of linear equations
(support routine for Bint4 and Bintk) |
M4 |
|
|
M4 |
|
|
| Banslv |
Solution of LU
factorized system of linear equations
(support routine for Bint4 and Bintk) |
M4 |
|
|
M4 |
|
|
| E3a3. Quadrature involving fitted functions |
Pchia (WPchia) |
Integral of
piecewise cubic Hermite / cubic spline function |
B |
B |
|
B |
B |
|
| Pchid |
Integral
of piecewise cubic Hermite / cubic spline function (over an interval whoes
endpoints are data points) |
M4 |
|
|
M4 |
|
|
| Bsqad |
Integral
of B-representation of B-spline |
M4 |
|
|
M4 |
|
|
| Bfqad |
Integral
of product of arbitrary function and B-representation of B-spline |
M4 |
|
|
M4 |
|
|
| Bfqad_r |
Integral of
product of arbitrary function and B-representation of B-spline (reverse
communication version) |
M4 |
|
|
M4 |
|
|
| Ppqad |
Integral of PP
(piecewise polynomial) form of B-spline |
M4 |
|
|
M4 |
|
|
| Pfqad |
Integral of
product of arbitrary function and PP (piecewise polynomial) form of B-spline |
M4 |
|
|
M4 |
|
|
| Pfqad_r |
Integral of
product of arbitrary function and PP (piecewise polynomial) form of B-spline
(reverse communication version) |
M4 |
|
|
M4 |
|
|
| F. Solution
of nonlinear equations |
|
|
|
|
|
|
|
|
|
| F1a. Roots of polynomials |
F1a. Roots of
polynomials |
Cpzero (WCpzero(2)) |
Roots of a
polynomial (complex coefficients) (2nd order simultaneous iterative method) |
M3 |
M3 |
|
M3 |
M3 |
|
| Rpzero |
Roots of a
polynomial (real coefficients) (2nd order simultaneous iterative method) |
M3 |
|
|
M3 |
|
|
| Rpzero2 (WRpzero2) |
Roots of a
polynomial (real coefficients) (2nd order simultaneous iterative method)
(Complex type is not used) |
B |
B |
|
B |
B |
|
| Cpqr79 (WCpqr79(2)) |
Roots
of a polynomial (complex coefficients) (Companion matrix eigenvalues) |
M3 |
M3 |
|
M3 |
M3 |
|
| Rpqr79 |
Roots
of a polynomial (real coefficients) (Companion matrix eigenvalues) |
M3 |
|
|
M3 |
|
|
| Dka (WDka(2)) |
Roots
of a polynomial (complex coefficients) (3rd order Durand-Kerner-Aberth (DKA)
method) |
M3 |
M3 |
|
M3 |
M3 |
|
| F1b. Solution of single general nonlinear equation |
F1b. Solution of single general nonlinear equation |
Dfzero |
Zero of the
general nonlinear function |
B |
|
B |
B |
|
B |
| Dfzero_r |
Zero
of the general nonlinear function (reverse communication version) |
B |
|
|
B |
|
|
| F2. Solution of a system of
nonlinear equations |
F2. Solution of a system of nonlinear equations |
Hybrj |
Solution
of a system of nonlinear equations by Powell hybrid method |
M3 |
|
|
M3 |
|
|
| Hybrj_r |
Solution of a
system of nonlinear equations by Powell hybrid method (reverse communication
version) |
M3 |
|
|
M3 |
|
|
| Hybrj1 |
Solution
of a system of nonlinear equations by Powell hybrid method (simple driver) |
M3 |
|
M3 |
M3 |
|
M3 |
| Hybrj1_r |
Solution
of a system of nonlinear equations by Powell hybrid method (simple driver)
(reverse communication version) |
M3 |
|
|
M3 |
|
|
| Hybrd |
Solution
of a system of nonlinear equations by Powell hybrid method (Jacobian not
required) |
M3 |
|
|
M3 |
|
|
| Hybrd_r |
Solution
of a system of nonlinear equations by Powell hybrid method (Jacobian not
required) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| Hybrd1 |
Solution
of a system of nonlinear equations by Powell hybrid method (Jacobian not
required) (simple driver) |
B |
|
B |
B |
|
B |
| Hybrd1_r |
Solution
of a system of nonlinear equations by Powell hybrid method (Jacobian not
required) (simple driver) (reverse communication version) |
B |
|
|
B |
|
|
| Chkder |
Checks the
gradient calculation (for Hybrj and Hybrj1) |
M3 |
|
|
M3 |
|
|
| Sos |
Solution of a
system of nonlinear equations (Brown's method) |
M3 |
|
M3 |
M3 |
|
M3 |
| Sos_r |
Solution of a
system of nonlinear equations (Brown's method) (reverse communication
version) |
M3 |
|
|
M3 |
|
|
| G.
Optimization |
|
|
|
|
|
|
|
|
|
| G1a. Unconstrained optimization of
a general univariate function |
G1a. Unconstrained optimization of a general
univariate function |
Dfmin |
Minimum
of a single variable general nonlinear function |
B |
|
B |
B |
|
B |
| Dfmin_r |
Minimum
of a single variable general nonlinear function (reverse communication
version) |
B |
|
|
B |
|
|
| G1b. Unconstrained optimization
of a general multivariate function |
G1b. Unconstrained optimization of a general
multivariate function |
Optif9 |
Minimum
of a multivariable nonlinear function (quasi-Newton method or trust region
method) |
M3 |
|
|
M3 |
|
|
| Optif9_r |
Minimum of a
multivariable nonlinear function (quasi-Newton method or trust region method)
(reverse communication version) |
M3 |
|
|
M3 |
|
|
| Optif0 |
Minimum
of a multivariable nonlinear function (quasi-Newton method) (simple driver) |
B |
|
B |
B |
|
B |
| Optif0_r |
Minimum
of a multivariable nonlinear function (quasi-Newton method) (simple driver)
(reverse communication version) |
B |
|
|
B |
|
|
| Mng |
Minimum
of a multivariable nonlinear function (trust region method) |
M3 |
|
M3 |
M3 |
|
M3 |
| Mng_r |
Minimum
of a multivariable nonlinear function (trust region method) (reverse
communication version) |
M3 |
|
|
M3 |
|
|
| Mnf |
Minimum
of a multivariable nonlinear function (trust region method) (gradient
computed by finite differences) |
M3 |
|
M3 |
M3 |
|
M3 |
| Mnf_r |
Minimum
of a multivariable nonlinear function (trust region method) (gradient
computed by finite differences) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| Mnh |
Minimum of a
multivariable nonlinear function (trust region method) (gradient and Hessian
computed analytically) |
M3 |
|
|
M3 |
|
|
| Mnh_r |
Minimum of a
multivariable nonlinear function (trust region method) (gradient and Hessian
computed analytically) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| Subplex |
Minimum of a
multivariable nonlinear function (subspace-searching simplex method) |
M3 |
|
M3 |
M3 |
|
M3 |
| Subplex_r |
Minimum of a
multivariable nonlinear function (subspace-searching simplex method) (reverse
communication version) |
M3 |
|
|
M3 |
|
|
| G2. Constrained optimization of a
general multivariate function |
G2. Constrained optimization of a general
multivariate function |
Mngb |
Minimization
of multivariate function (trust region method) (simply bounded) |
M3 |
|
|
M3 |
|
|
| Mngb_r |
Minimization
of multivariate function (trust region method) (simply bounded) (reverse
communication version) |
M3 |
|
|
M3 |
|
|
| Mnfb |
Minimization
of multivariate function (trust region method) (simply bounded) (gradient
computed by finite differences) |
M3 |
|
|
M3 |
|
|
| Mnfb_r |
Minimization
of multivariate function (trust region method) (simply bounded) (gradient
computed by finite differences) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| Mnhb |
Minimization
of multivariate function (trust region method) (simply bounded) (gradient and
Hessian computed analytically) |
M3 |
|
|
M3 |
|
|
| Mnhb_r |
Minimization
of multivariate function (trust region method) (simply bounded) (gradient and
Hessian computed analytically) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| H.
Differentiation, integration |
|
|
|
|
|
|
|
|
|
| H2.
Quadrature |
|
|
|
|
|
|
|
|
|
| H2a1a. 1-D finite interval quadrature
(user-defined integrand function) |
H2a1a. 1-D finite interval quadrature (fixed
number of points) |
Qk15 |
Finite
interval quadrature (15-point Gauss-Kronrod rule) |
B |
|
|
B |
|
|
| Qk15_r |
Finite interval
quadrature (15-point Gauss-Kronrod rule) (reverse communication version) |
B |
|
|
B |
|
|
| Qk21 |
Finite interval
quadrature (21-point Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qk21_r |
Finite interval
quadrature (21-point Gauss-Kronrod rule) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Qk31 |
Finite interval
quadrature (31-point Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qk31_r |
Finite interval
quadrature (31-point Gauss-Kronrod rule) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Qk41 |
Finite interval
quadrature (41-point Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qk41_r |
Finite
interval quadrature (41-point Gauss-Kronrod rule) (reverse communication
version) |
M4 |
|
|
M4 |
|
|
| Qk51 |
Finite
interval quadrature (51-point Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qk51_r |
Finite
interval quadrature (51-point Gauss-Kronrod rule) (reverse communication
version) |
M4 |
|
|
M4 |
|
|
| Qk61 |
Finite
interval quadrature (61-point Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qk61_r |
Finite
interval quadrature (61-point Gauss-Kronrod rule) (reverse communication
version) |
M4 |
|
|
M4 |
|
|
| H2a1a. 1-D finite interval
quadrature (automatic quadrature) |
Qng |
Finite interval
automatic quadrature (21/43/87-point Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qng_r |
Finite interval
automatic quadrature (21/43/87-point Gauss-Kronrod rule) (reverse
communication version) |
M4 |
|
|
M4 |
|
|
| Qag |
Finite interval
adaptive quadrature (15/21/31/41/51/61-point Gauss-Kronrod rule) |
B |
|
B |
B |
|
B |
| Qag_r |
Finite interval
adaptive quadrature (15/21/31/41/51/61-point Gauss-Kronrod rule) (reverse
communication version) |
B |
|
|
B |
|
|
| Qags |
Finite interval
adaptive quadrature with sigularities (21-point Gauss-Kronrod rule) |
M4 |
|
M4 |
M4 |
|
M4 |
| Qags_r |
Finite
interval adaptive quadrature with sigularities (21-point Gauss-Kronrod rule)
(reverse communication version) |
M4 |
|
|
M4 |
|
|
| Defin |
Finite
interval automatic quadrature (double exponential (DE) formula) |
M4 |
|
M4 |
M4 |
|
M4 |
| Defin_r |
Finite
interval automatic quadrature (double exponential (DE) formula) (reverse
communication version) |
M4 |
|
|
M4 |
|
|
| H2a1b.
1-D finite interval quadrature (tabulated integrand) |
H2a1b.
1-D finite interval quadrature (tabulated integrand) |
Avint (WAvint) |
Finite
interval quadrature for a function with tabulated data (approximation with
overlapping parabolas) |
M4 |
M4 |
|
M4 |
M4 |
|
| H2a2a. 1-D finite interval
quadrature (special integrand) (user-defined integrand function) |
H2a2a. 1-D finite interval quadrature (special
integrand) |
Qagp |
Finite
interval adaptive quadrature with known singular points (21-point
Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qagp_r |
Finite
interval adaptive quadrature with known singular points (21-point
Gauss-Kronrod rule) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Qawc |
Finite interval
adaptive quadrature for Cauchy principal values (25-point Clenshaw-Curtis and
15-point Gauss-Kronrod rule) |
M4 |
|
M4 |
M4 |
|
M4 |
| Qawc_r |
Finite interval
adaptive quadrature for Cauchy principal values (25-point Clenshaw-Curtis and
15-point Gauss-Kronrod rule) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Qaws |
Finite interval
adaptive quadrature for singular functions (25-point Clenshaw-Curtis and
15-point Gauss-Kronrod rule) |
M4 |
|
M4 |
M4 |
|
M4 |
| Qaws_r |
Finite
interval adaptive quadrature for singular functions (25-point Clenshaw-Curtis
and 15-point Gauss-Kronrod rule) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Qawo |
Finite
interval adaptive quadrature for oscillatory functions (25-point
Clenshaw-Curtis and 15-point Gauss-Kronrod rule) |
M4 |
|
M4 |
M4 |
|
M4 |
| Qawo_r |
Finite
interval adaptive quadrature for oscillatory functions (25-point
Clenshaw-Curtis and 15-point Gauss-Kronrod rule) (reverse communication
version) |
M4 |
|
|
M4 |
|
|
| H2a3a. 1-D semi-infinite interval
quadrature (user-defined integrand function) |
H2a3a. 1-D semi-infinite interval quadrature |
Qk15i |
Semi-infinite/infinite
interval quadrature (15-point Gauss-Kronrod rule) |
M4 |
|
|
M4 |
|
|
| Qk15i_r |
Semi-infinite/infinite
interval quadrature (15-point Gauss-Kronrod rule) (reverse communication
version) |
M4 |
|
|
M4 |
|
|
| Qagi |
Semi-infinite/infinite
interval adaptive quadrature (15-point Gauss-Kronrod rule) |
B |
|
B |
B |
|
B |
| Qagi_r |
Semi-infinite/infinite
interval adaptive quadrature (15-point Gauss-Kronrod rule) (reverse
communication version) |
B |
|
|
B |
|
|
| Qawf |
Semi-infinite
interval adaptive quadrature for Fourier integrals (25-point Clenshaw-Curtis
and 15-point Gauss-Kronrod rule) |
M4 |
|
M4 |
M4 |
|
M4 |
| Qawf_r |
Semi-infinite
interval adaptive quadrature for Fourier integrals (25-point Clenshaw-Curtis
and 15-point Gauss-Kronrod rule) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Dehint |
Semi-infinite
interval automatic quadrature (double exponential (DE) formula) |
M4 |
|
M4 |
M4 |
|
M4 |
| Dehint_r |
Semi-infinite
interval automatic quadrature (double exponential (DE) formula) (reverse
communication version) |
M4 |
|
|
M4 |
|
|
| Deoint |
Semi-infinite
interval automatic quadrature for Fourier integrals (double exponential (DE)
formula) |
M4 |
|
M4 |
M4 |
|
M4 |
| Deoint_r |
Semi-infinite
interval automatic quadrature for Fourier integrals (double exponential (DE)
formula) (reverse communication version) |
M4 |
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|
M4 |
|
|
| H2a4. 1-D infinite interval
quadrature (user-defined integrand function) |
H2a4. 1-D infinite interval quadrature |
Deiint |
Infinite
interval automatic quadrature (double exponential (DE) formula) |
M4 |
|
M4 |
M4 |
|
M4 |
| Deiint_r |
Infinite
interval automatic quadrature (double exponential (DE) formula) (reverse
communication version) |
M4 |
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|
M4 |
|
|
| I.
Differential and integral equations |
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| I1. Ordinary differential
equations |
I1a1. Initial value problem of ordinary
differential equations (for non-stiff problem) |
Derkfa |
Initial
value problem of ordinary differential equations (5(4)-th order
Runge-Kutta-Fehlberg method) |
|
|
|
B |
|
B |
| Derkfa_r |
Initial value
problem of ordinary differential equations (5(4)-th order
Runge-Kutta-Fehlberg method) (reverse communication version) |
|
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|
B |
|
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| Dopri5a |
Initial value
problem of ordinary differential equations (5(4)-th order Dorman-Prince
method) |
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|
M4 |
|
M4 |
| Dopri5a_r |
Initial value
problem of ordinary differential equations (5(4)-th order Dorman-Prince
method) (reverse communication version) |
|
|
|
M4 |
|
|
| Dverka |
Initial value
problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner
method) |
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|
M4 |
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| Dverka_r |
Initial value
problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner
method) (reverse communication version) |
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|
M4 |
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| Dop853a |
Initial value
problem of ordinary differential equations (8(5,3)-th order Dorman-Prince
method) |
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|
M4 |
|
M4 |
| Dop853a_r |
Initial value
problem of ordinary differential equations (8(5,3)-th order Dorman-Prince
method) (reverse communication version) |
|
|
|
M4 |
|
|
| Deabm |
Initial value
problem of ordinary differential equations (1~12-th order
Adams-Bashforth-Moulton predictor-corrector method) |
M4 |
|
M4 |
M4 |
|
M4 |
| Deabm_r |
Initial value
problem of ordinary differential equations (1~12-th order
Adams-Bashforth-Moulton predictor-corrector method) (reverse communication
version) |
M4 |
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|
M4 |
|
|
| Odexa |
Initial value
problem of ordinary differential equations (extrapolation method (GBS
algorithm)) |
|
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|
M4 |
|
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| Odexa_r |
Initial value
problem of ordinary differential equations (extrapolation method (GBS
algorithm)) (reverse communication version) |
|
|
|
M4 |
|
|
| Dopn43 |
Initial value
problem of ordinary differential equations (4(3)-th order Runge-Kutta-Nystrom
method) (for second order differential equations) |
|
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|
B |
|
B |
| Dopn43_r |
Initial value
problem of ordinary differential equations (4(3)-th order Runge-Kutta-Nystrom
method) (for second order differential equations) (reverse communication
version) |
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|
B |
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| Dopn64 |
Initial value
problem of ordinary differential equations (6(4)-th order Runge-Kutta-Nystrom
method) (for second order differential equations) |
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|
M4 |
|
M4 |
| Dopn64_r |
Initial value
problem of ordinary differential equations (6(4)-th order Runge-Kutta-Nystrom
method) (for second order differential equations) (reverse communication
version) |
|
|
|
M4 |
|
|
| Dopn86 |
Initial value
problem of ordinary differential equations (8(6)-th order Runge-Kutta-Nystrom
method) (for second order differential equations) |
|
|
|
M4 |
|
M4 |
| Dopn86_r |
Initial value
problem of ordinary differential equations (8(6)-th order Runge-Kutta-Nystrom
method) (for second order differential equations) (reverse communication
version) |
|
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|
M4 |
|
|
| Dopn1210 |
Initial value
problem of ordinary differential equations (12(10)-th order
Runge-Kutta-Nystrom method) (for second order differential equations) |
|
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|
M4 |
|
M4 |
| Dopn1210_r |
Initial value
problem of ordinary differential equations (12(10)-th order
Runge-Kutta-Nystrom method) (for second order differential equations)
(reverse communication version) |
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|
M4 |
|
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| Odex2a |
Initial value
problem of ordinary differential equations (extrapolation method) (for second
order differential equations) |
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|
M4 |
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| Odex2a_r |
Initial value
problem of ordinary differential equations (extrapolation method) (for second
order differential equations) (reverse communication version) |
|
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|
M4 |
|
|
| Retarda |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method) |
|
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|
M4 |
|
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| Ylaga |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method)
(interpolation for back-values of solution) |
|
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|
M4 |
|
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| Retarda_r |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method)
(reverse communication version) |
|
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|
M4 |
|
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| Ylaga_r |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method)
(reverse communication version) (interpolation for back-values of solution) |
|
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|
M4 |
|
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| Derkf |
Initial value
problem of ordinary differential equations (5(4)-th order
Runge-Kutta-Fehlberg method) |
B |
|
B |
B |
|
|
| Derkf_r |
Initial value
problem of ordinary differential equations (5(4)-th order
Runge-Kutta-Fehlberg method) (reverse communication version) |
B |
|
|
B |
|
|
| DerkfInt |
Initial value
problem of ordinary differential equations (5(4)-th order
Runge-Kutta-Fehlberg method) (interpolation for dense output) |
B |
|
|
B |
|
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| Dopri5 |
Initial value
problem of ordinary differential equations (5(4)-th order Dorman-Prince
method) |
M4 |
|
M4 |
M4 |
|
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| Contd5 |
Initial value
problem of ordinary differential equations (5(4)-th order Dorman-Prince
method) (interpolation for dense output) |
M4 |
|
|
M4 |
|
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| Dopri5_r |
Initial value
problem of ordinary differential equations (5(4)-th order Dorman-Prince
method) (reverse communication version) |
M4 |
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|
M4 |
|
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| Contd5_r |
Initial value
problem of ordinary differential equations (5(4)-th order Dorman-Prince
method) (reverse communication version) (interpolation for dense output) |
M4 |
|
|
M4 |
|
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| Dverk |
Initial value
problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner
method) |
M4 |
|
|
M4 |
|
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| Dverk_r |
Initial value
problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner
method) (reverse communication version) |
M4 |
|
|
M4 |
|
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| DverkInt |
Initial value
problem of ordinary differential equations (6(5)-th order Runge-Kutta-Verner
method) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Dop853 |
Initial value
problem of ordinary differential equations (8(5,3)-th order Dorman-Prince
method) |
M4 |
|
M4 |
M4 |
|
|
| Contd8 |
Initial value
problem of ordinary differential equations (8(5,3)-th order Dorman-Prince
method) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Dop853_r |
Initial value
problem of ordinary differential equations (8(5,3)-th order Dorman-Prince
method) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contd8_r |
Initial value
problem of ordinary differential equations (8(5,3)-th order Dorman-Prince
method) (reverse communication version) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Odex |
Initial value
problem of ordinary differential equations (extrapolation method (GBS
algorithm)) |
M4 |
|
|
M4 |
|
|
| Contx1 |
Initial value
problem of ordinary differential equations (extrapolation method (GBS
algorithm)) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Odex_r |
Initial
value problem of ordinary differential equations (extrapolation method (GBS
algorithm)) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contx1_r |
Initial
value problem of ordinary differential equations (extrapolation method (GBS
algorithm)) (reverse communication version) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Doprin |
Initial
value problem of ordinary differential equations (7(6)-th order
Runge-Kutta-Nystrom method) (for second order differential equations) |
M4 |
|
|
M4 |
|
|
| Doprin_r |
Initial
value problem of ordinary differential equations (7(6)-th order
Runge-Kutta-Nystrom method) (for second order differential equations)
(reverse communication version) |
M4 |
|
|
M4 |
|
|
| Odex2 |
Initial
value problem of ordinary differential equations (extrapolation method) (for
second order differential equations) |
M4 |
|
|
M4 |
|
|
| Contx2 |
Initial
value problem of ordinary differential equations (extrapolation method) (for
second order differential equations) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Odex2_r |
Initial
value problem of ordinary differential equations (extrapolation method) (for
second order differential equations) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contx2_r |
Initial
value problem of ordinary differential equations (extrapolation method) (for
second order differential equations) (reverse communication version)
(interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Retard |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method) |
M4 |
|
|
M4 |
|
|
| Ylag |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method)
(interpolation for back-values of solution) |
M4 |
|
|
M4 |
|
|
| Retard_r |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method)
(reverse communication version) |
M4 |
|
|
M4 |
|
|
| Ylag_r |
Initial value
problem of delay differential equations (5(4)-th order Dorman-Prince method)
(reverse communication version) (interpolation for back-values of solution) |
M4 |
|
|
M4 |
|
|
| I1a2. Initial value problem of
ordinary differential equations (for stiff problem) |
Debdf |
Initial value
problem of ordinary differential equations (1~5-th order backward
differentiation formula (BDF)) |
M4 |
|
M4 |
M4 |
|
M4 |
| Debdf_r |
Initial value
problem of ordinary differential equations (1~5-th order backward
differentiation formula (BDF)) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Radaua |
Initial value
problem of ordinary differential equations (variable (5, 9, 13-th) order
implicit Runge-Kutta method (Radau IIA)) |
|
|
|
M4 |
|
M4 |
| Radaua_r |
Initial value
problem of ordinary differential equations (variable (5, 9, 13-th) order
implicit Runge-Kutta method (Radau IIA)) (reverse communication version) |
|
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|
M4 |
|
|
| Rodasa |
Initial value
problem of ordinary differential equations (4(3)-th order Rosenbrock method) |
|
|
|
M4 |
|
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| Rodasa_r |
Initial value
problem of ordinary differential equations (4(3)-th order Rosenbrock method)
(reverse communication version) |
|
|
|
M4 |
|
|
| Seulexa |
Initial value
problem of ordinary differential equations (extrapolation method based on the
linearly implicit Euler method) |
|
|
|
M4 |
|
|
| Seulexa_r |
Initial value
problem of ordinary differential equations (extrapolation method based on the
linearly implicit Euler method) (reverse communication version) |
|
|
|
M4 |
|
|
| Radau5 |
Initial value
problem of ordinary differential equations (5-th order implicit Runge-Kutta
method (Radau IIA)) |
M4 |
|
|
M4 |
|
|
| Contr5 |
Initial value
problem of ordinary differential equations (5-th order implicit Runge-Kutta
method (Radau IIA)) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Radau5_r |
Initial value
problem of ordinary differential equations (5-th order implicit Runge-Kutta
method (Radau IIA)) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contr5_r |
Initial value
problem of ordinary differential equations (5-th order implicit Runge-Kutta
method (Radau IIA)) (reverse communication version) (interpolation for dense
output) |
M4 |
|
|
M4 |
|
|
| Radaup |
Initial value
problem of ordinary differential equations (5, 9, 13-th order implicit
Runge-Kutta method (Radau IIA)) |
M4 |
|
|
M4 |
|
|
| Contrp |
Initial value
problem of ordinary differential equations (5, 9, 13-th order implicit
Runge-Kutta method (Radau IIA)) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Radaup_r |
Initial value
problem of ordinary differential equations (5, 9, 13-th order implicit
Runge-Kutta method (Radau IIA)) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contrp_r |
Initial value
problem of ordinary differential equations (5, 9, 13-th order implicit
Runge-Kutta method (Radau IIA)) (reverse communication version)
(interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Radau |
Initial value
problem of ordinary differential equations (variable (5, 9, 13-th) order
implicit Runge-Kutta method (Radau IIA)) |
M4 |
|
M4 |
M4 |
|
|
| Contra |
Initial value
problem of ordinary differential equations (variable (5, 9, 13-th) order
implicit Runge-Kutta method (Radau IIA)) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Radau_r |
Initial value
problem of ordinary differential equations (variable (5, 9, 13-th) order
implicit Runge-Kutta method (Radau IIA)) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contra_r |
Initial value
problem of ordinary differential equations (variable (5, 9, 13-th) order
implicit Runge-Kutta method (Radau IIA)) (reverse communication version)
(interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Rodas |
Initial value
problem of ordinary differential equations (4(3)-th order Rosenbrock method) |
M4 |
|
|
M4 |
|
|
| Contro |
Initial value
problem of ordinary differential equations (4(3)-th order Rosenbrock method)
(interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Rodas_r |
Initial
value problem of ordinary differential equations (4(3)-th order Rosenbrock
method) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contro_r |
Initial
value problem of ordinary differential equations (4(3)-th order Rosenbrock
method) (reverse communication version) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Seulex |
Initial
value problem of ordinary differential equations (extrapolation method based
on the linearly implicit Euler method) |
M4 |
|
|
M4 |
|
|
| Contex |
Initial
value problem of ordinary differential equations (extrapolation method based
on the linearly implicit Euler method) (interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Seulex_r |
Initial
value problem of ordinary differential equations (extrapolation method based
on the linearly implicit Euler method) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| Contex_r |
Initial value
problem of ordinary differential equations (extrapolation method based on the
linearly implicit Euler method) (reverse communication version)
(interpolation for dense output) |
M4 |
|
|
M4 |
|
|
| Dassl |
Solution of
differential algebraic equation (DAE) (1~5-th order backward differentiation
formula (BDF)) |
M4 |
|
|
M4 |
|
|
| Dassl_r |
Solution
of differential algebraic equation (DAE) (1~5-th order backward
differentiation formula (BDF)) (reverse communication version) |
M4 |
|
|
M4 |
|
|
| J. Integral
transforms |
|
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|
|
|
|
|
|
|
| J1. Fast Fourier transform (FFT) |
J1a1.
One-dimensional real fast Fourier transforms |
Rfft1f (WRfft1f) |
One-dimensional
real Fourier transform |
B |
B |
|
B |
B |
|
| Rfft1b (WRfft1b) |
One-dimensional
real Fourier backward transform |
B |
B |
|
B |
B |
|
| Rfft1i |
Initialization
of work data for Rfft1f and Rfft1b |
B |
|
|
B |
|
|
| Rfftmf |
One-dimensional
real Fourier transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Rfftmb |
One-dimensional
real Fourier backward transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Rfftmi |
Initialization
of work data for Rfftmf and Rfftmb |
M3 |
|
|
M3 |
|
|
| J1a2. One-dimensional complex fast Fourier transforms |
Cfft1f (WCfft1f(2)) |
One-dimensional
complex Fourier transform |
M3 |
M3 |
|
M3 |
M3 |
|
| Cfft1b (WCfft1b(2)) |
One-dimensional
complex Fourier backward transform |
M3 |
M3 |
|
M3 |
M3 |
|
| Cfft1i |
Initialization
of work data for Cfft1f and Cfft1b |
M3 |
|
|
M3 |
|
|
| Cfftmf |
One-dimensional
complex Fourier transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Cfftmb |
One-dimensional
complex Fourier backward transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Cfftmi |
Initialization
of work data for Cfftmf and Cfftmb |
M3 |
|
|
M3 |
|
|
| J1a3. One-dimensional trigonometric fast Fourier
transforms |
Sint1f (WSint1f) |
One-dimensional
real sine transform |
M3 |
M3 |
|
M3 |
M3 |
|
| Sint1b (WSint1b) |
One-dimensional
real sine backward transform |
M3 |
M3 |
|
M3 |
M3 |
|
| Sint1i |
Initialization
of work data for Sint1f and Sint1b |
M3 |
|
|
M3 |
|
|
| Sintmf |
One-dimensional
real sine transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Sintmb |
One-dimensional
real sine backward transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Sintmi |
Initialization
of work data for Sintmf and Sintmb |
M3 |
|
|
M3 |
|
|
| Cost1f (WCost1f) |
One-dimensional
real cosine transform |
M3 |
M3 |
|
M3 |
M3 |
|
| Cost1b (WCost1b) |
One-dimensional
real cosine backward transform |
M3 |
M3 |
|
M3 |
M3 |
|
| Cost1i |
Initialization
of work data for Cost1f and Cost1b |
M3 |
|
|
M3 |
|
|
| Costmf |
One-dimensional
real cosine transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Costmb |
One-dimensional
real cosine backward transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Costmi |
Initialization
of work data for Costmf and Costmb |
M3 |
|
|
M3 |
|
|
| J1a3. One-dimensional quarter
trigonometric fast Fourier transforms |
Sinq1f |
One-dimensional
real quarter sine transform |
M3 |
|
|
M3 |
|
|
| Sinq1b |
One-dimensional
real quarter sine backward transform |
M3 |
|
|
M3 |
|
|
| Sinq1i |
Initialization
of work data for Sinq1f and Sinq1b |
M3 |
|
|
M3 |
|
|
| Sinqmf |
One-dimensional
real quarter sine transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Sinqmb |
One-dimensional
real quarter sine backward transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Sinqmi |
Initialization
of work data for Sinqmf and Sinqmb |
M3 |
|
|
M3 |
|
|
| Cosq1f |
One-dimensional
real quarter cosine transform |
M3 |
|
|
M3 |
|
|
| Cosq1b |
One-dimensional
real quarter cosine backward transform |
M3 |
|
|
M3 |
|
|
| Cosq1i |
Initialization
of work data for Cosq1f and Cosq1b |
M3 |
|
|
M3 |
|
|
| Cosqmf |
One-dimensional
real quarter cosine transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Cosqmb |
One-dimensional
real quarter cosine backward transform (multiple sequences) |
M3 |
|
|
M3 |
|
|
| Cosqmi |
Initialization
of work data for Cosqmf and Cosqmb |
M3 |
|
|
M3 |
|
|
| J1b. Multidimensional fast
Fourier transforms |
Rfft2f |
Two-dimensional
real Fourier transform |
M3 |
|
|
M3 |
|
|
| Rfft2b |
Two-dimensional
real Fourier backward transform |
M3 |
|
|
M3 |
|
|
| Rfft2i |
Initialization
of work data for Rfft2f and Rfft2b |
M3 |
|
|
M3 |
|
|
| Rfft2c |
Full
complex data of two-dimensional Fourier transform obtained by Rfft2f |
M3 |
|
|
M3 |
|
|
| Cfft2f |
Two-dimensional
complex Fourier transform |
M3 |
|
|
M3 |
|
|
| Cfft2b |
Two-dimensional
complex Fourier backward transform |
M3 |
|
|
M3 |
|
|
| Cfft2i |
Initialization
of work data for Cfft2f and Cfft2b |
M3 |
|
|
M3 |
|
|
| K.
Approximation |
|
|
|
|
|
|
|
|
|
| K1. Least squares approximation |
K1b1. Nonlinear least squares approximation |
Lmder |
Nonlinear
least squares approximation (Levenberg-Marquardt method) |
M3 |
|
|
M3 |
|
|
| Lmder_r |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (reverse communication
version) |
M3 |
|
|
M3 |
|
|
| Lmder1 |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (simple driver) |
M3 |
|
M3 |
M3 |
|
M3 |
| Lmder1_r |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (simple driver) (reverse
communication version) |
M3 |
|
|
M3 |
|
|
| Lmstr |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (limited storage version) |
M3 |
|
|
M3 |
|
|
| Lmstr_r |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (limited storage version)
(reverse communication version) |
M3 |
|
|
M3 |
|
|
| Lmstr1 |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (limited storage version)
(simple driver) |
M3 |
|
|
M3 |
|
|
| Lmstr1_r |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (limited storage version)
(simple driver) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| Lmdif |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (Jacobian not required) |
M3 |
|
|
M3 |
|
|
| Lmdif_r |
Nonlinear least
squares approximation (Levenberg-Marquardt method) (Jacobian not required)
(reverse communication version) |
M3 |
|
|
M3 |
|
|
| Lmdif1 |
Nonlinear
least squares approximation (Levenberg-Marquardt method) (Jacobian not
required) (simple driver) |
B |
|
B |
B |
|
B |
| Lmdif1_r |
Nonlinear
least squares approximation (Levenberg-Marquardt method) (Jacobian not
required) (simple driver) (reverse communication version) |
B |
|
|
B |
|
|
| Chkder |
Checks
the gradient calculation (for Lmder, Lmder1, Lmstr and Lmstr1) (same as F2.) |
M3 |
|
|
M3 |
|
|
| Covar |
Variance
covariance matrix calculation for Lmder, Lmder1, Lmstr, Lmstr1 and Lmdif) |
M3 |
|
|
M3 |
|
|
| N2g |
Nonlinear
least squares approximation (Levenberg-Marquardt method) |
M3 |
|
M3 |
M3 |
|
M3 |
| N2g_r |
Nonlinear
least squares approximation (Levenberg-Marquardt method) (reverse
communication version) |
M3 |
|
|
M3 |
|
|
| N2g1 |
Nonlinear
least squares approximation (Levenberg-Marquardt method) (simple driver) |
M3 |
|
|
M3 |
|
|
| N2g1_r |
Nonlinear
least squares approximation (Levenberg-Marquardt method) (simple driver)
(reverse communication version) |
M3 |
|
|
M3 |
|
|
| N2f |
Nonlinear
least squares approximation (adaptive algorithm) (Jacobian not required) |
M3 |
|
M3 |
M3 |
|
M3 |
| N2f_r |
Nonlinear
least squares approximation (adaptive algorithm) (Jacobian not required)
(reverse communication version) |
M3 |
|
|
M3 |
|
|
| N2f1 |
Nonlinear
least squares approximation (adaptive algorithm) (Jacobian not required)
(simple driver) |
M3 |
|
|
M3 |
|
|
| N2f1_r |
Nonlinear
least squares approximation (adaptive algorithm) (Jacobian not required)
(simple driver) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| N2p |
Nonlinear least
squares approximation (adaptive algorithm) (limited storage version) |
M3 |
|
|
M3 |
|
|
| N2p_r |
Nonlinear least
squares approximation (adaptive algorithm) (limited storage version) (reverse
communication version) |
M3 |
|
|
M3 |
|
|
| K1b2. Constrained nonlinear
least squares approximation |
N2gb |
Nonlinear
least squares approximation (adaptive algorithm) (simply bounded) |
M3 |
|
|
M3 |
|
|
| N2gb_r |
Nonlinear
least squares approximation (adaptive algorithm) (simply bounded) (reverse
communication version) |
M3 |
|
|
M3 |
|
|
| N2fb |
Nonlinear
least squares approximation (adaptive algorithm) (simply bounded) (Jacobian
not required) |
M3 |
|
|
M3 |
|
|
| N2fb_r |
Nonlinear
least squares approximation (adaptive algorithm) (simply bounded) (Jacobian
not required) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| N2pb |
Nonlinear
least squares approximation (adaptive algorithm) (simply bounded) (limited
storage version) |
M3 |
|
|
M3 |
|
|
| N2pb_r |
Nonlinear
least squares approximation (adaptive algorithm) (simply bounded) (limited
storage version) (reverse communication version) |
M3 |
|
|
M3 |
|
|
| L.
Statistics, probability |
|
|
|
|
|
|
|
|
|
| L6. Random
number generation |
|
|
|
|
|
|
|
|
|
| L6a21. Uniform random numbers |
L6a21. Uniform random numbers (Mersenne-Twister) |
InitGenrand |
Initialization
with seed for random number generator (Mersenne Twister) |
B |
|
|
B |
|
|
| InitByArray |
Initialization
with array of integers for random number generator (Mersenne Twister) |
M4 |
|
|
M4 |
|
|
| GenrandInt32 (#) |
Unsigned
32 bit integer random number (Mersenne Twister) |
B |
|
|
B |
|
|
| GenrandInt31 (#) |
Unsigned
31 bit integer random number (Mersenne Twister) |
B |
|
|
B |
|
|
| GenrandReal1 (#) |
32
bit real random number in [0,1] (Mersenne Twister) |
M4 |
|
|
M4 |
|
|
| GenrandReal2 (#) |
32
bit real random number in [0,1) (Mersenne Twister) |
M4 |
|
|
M4 |
|
|
| GenrandReal3 (#) |
32
bit real random number in (0,1) (Mersenne Twister) |
M4 |
|
|
M4 |
|
|
| GenrandReal53 (#) |
53
bit real random number in [0,1) (Mersenne Twister) |
B |
|
|
B |
|
|
| InitGenrand64 |
Initialization
of random number generator (64 bit Mersenne Twister) |
M4@ |
|
|
M4@ |
|
|
| InitByArray64 |
Initialization
with array of integers for random number generator (64 bit Mersenne Twister) |
M4@ |
|
|
M4@ |
|
|
| Genrand64Int64
(#) |
Unsigned 64 bit
integer random number (64 bit Mersenne Twister) |
M4@ |
|
|
M4@ |
|
|
| Genrand64Int63
(#) |
Unsigned 63 bit
integer random number (64 bit Mersenne Twister) |
M4@ |
|
|
M4@ |
|
|
| Genrand64Real1
(#) |
Double
precision real random number in [0, 1] (64 bit Mersenne Twister) |
M4@ |
|
|
M4@ |
|
|
| Genrand64Real2
(#) |
Double
precision real random number in [0, 1) (64 bit Mersenne Twister) |
M4@ |
|
|
M4@ |
|
|
| Genrand64Real3
(#) |
Double
precision real random number in (0, 1) (64 bit Mersenne Twister) |
M4@ |
|
|
M4@ |
|
|
| L6a21. Uniform random numbers
(Lagged Fibonacci method) |
RanStart |
Initialization
for integer random number generator (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| RanArray |
Unsigned
30 bit integer random numbers (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| RanArrNext (#) |
Unsigned
30 bit integer random number (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| RanfStart |
Initialization
for real random number generator (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| RanfArray |
53
bit real random numbers in [0,1) (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| RanfArrNext (#) |
53
bit real random number in [0,1) (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| L6a21. Uniform random numbers
(Linear congruential method) |
Srand48 |
Initialization
with 32-bit seed for Drand48, Lrand48 and Mrand48 (Linear congruential
method) |
M4 |
|
|
M4 |
|
|
| Seed48 |
Initialization
with 48-bit seed for Drand48, Lrand48 and Mrand48 (Linear congruential
method) |
M4 |
|
|
M4 |
|
|
| Lcong48 |
Set
up parameters for random number generators (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| Drand48 (#) |
48
bit real random number in [0,1) (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| Erand48 |
48
bit real random number in [0,1) (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| Lrand48 (#) |
Unsigned
31 bit integer random number (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| Nrand48 |
Unsigned
31 bit integer random number (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| Mrand48 (#) |
Signed
32 bit integer random number (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| Jrand48 |
Signed
32 bit integer random number (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| L6a14. Normal random numbers |
L6a14. Normal random numbers |
InitNorm |
Initialization
of normal random number generator (Ziggurat method) |
M4 |
|
|
M4 |
|
|
| GenrandNorm
(#) |
53 bit real
normal random number (Ziggurat method) (Mersenne Twister) |
M4 |
|
|
M4 |
|
|
| RanfArrNextNorm
(#) |
53 bit real
normal random number (Ziggurat method) (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| Drand48Norm
(#) |
48 bit real
normal random number (Ziggurat method) (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| L6a5. Exponential random numbers |
L6a5. Exponential random numbers |
InitExp |
Initialization
of exponential random number generator (Ziggurat method) |
M4 |
|
|
M4 |
|
|
| GenrandExp
(#) |
53 bit real
exponential random number (Ziggurat method) (Mersenne Twister) |
M4 |
|
|
M4 |
|
|
| RanfArrNextExp
(#) |
53 bit real
exponential random number (Ziggurat method) (Lagged Fibonacci method) |
M4 |
|
|
M4 |
|
|
| Drand48Exp
(#) |
48 bit real
exponential random number (Ziggurat method) (Linear congruential method) |
M4 |
|
|
M4 |
|
|
| L6a7. Gamma random numbers |
L6a7. Gamma random numbers. |
GenrandGam (#) |
53
bit real gamma random number (Squeeze method of Marsaglia and Tsang)
(Mersenne Twister) |
M4 |
|
|
M4 |
|
|
| RanfArrNextGam (#) |
53
bit real gamma random number (Squeeze method of Marsaglia and Tsang) (Lagged
Fibonacci method) |
M4 |
|
|
M4 |
|
|
| Drand48Gam (#) |
48
bit real gamma random number (Squeeze method of Marsaglia and Tsang) (Linear
congruential method) |
M4 |
|
|
M4 |
|
|
| R. Service
routines |
|
|
|
|
|
|
|
|
|
| R1. Machine-dependent constants |
R1. Machine-dependent constants |
Dlamch (#) |
Machine
parameters (double precision floating-point arithmetic) |
B |
|
|
B |
|
|
| D1mach (#) |
Machine
parameters (double precision floating-point arithmetic) |
B |
|
|
B |
|
|
| Slamch (#) |
Machine
parameters (single precision floating-point arithmetic) |
B |
|
|
B |
|
|
| R1mach (#) |
Machine
parameters (single precision floating-point arithmetic) |
B |
|
|
B |
|
|
| I1mach (#) |
Machine
parameters (integer machine dependent constants) |
B |
|
|
B |
|
|
| Z. Others |
|
|
|
|
|
|
|
|
|
| Z1. Test matrix generation |
Z1. Test matrix generation |
Dlatms |
Generates
random matrices with specified singular values or symmetric random matrices
with specified eigenvalues |
M1 |
|
|
M1 |
|
|
| Dlatmt |
Generates
random matrices with specified singular values or symmetric random matrices
with specified eigenvalues (with specified rank of matrix) |
M1 |
|
|
M1 |
|
|
| Dlatme |
Generates
random non-symmetric square matrices with specified eigenvalues |
M1 |
|
|
M1 |
|
|
| Dlatmr |
Generates
random matrices with specified diagonal elements |
M1 |
|
|
M1 |
|
|
| Zlatms |
Generates
random matrices with specified singular values or symmetric random matrices
with specified eigenvalues (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zlatmt |
Generates
random matrices with specified singular values or symmetric random matrices
with specified eigenvalues (with specified rank of matrix) (complex matrix) |
M2 |
|
|
M2 |
|
|
| Zlatme |
Generates
random non-symmetric square matrices with specified eigenvalues (complex
matrix) |
M2 |
|
|
M2 |
|
|
| Zlatmr |
Generates
random matrices with specified diagonal elements (complex matrix) |
M2 |
|
|
M2 |
|
|
|
|
|
|
|
| Category (Sparse matrix
calculation) |
VBA routine name |
Functions |
V6.1 |
V7.0 |
| VBA |
WS |
Solver |
VBA |
WS |
Solver |
| Sparse BLAS |
D1a. Sparse BLAS |
CsrDusmv |
y
<- αAx + βy or y <- αA^Tx + βy (CSR) |
|
|
|
B |
|
|
| CsrDussv |
Solution of Ax
= b or A^Tx = b (Triangular matrices) (CSR) |
|
|
|
B |
|
|
| CsrDusmm |
C <- αAB +
βC or C <- αA^TB + βC (CSR) |
|
|
|
B |
|
|
| CsrDussm |
Solution of AX
= B or A^TX = B (Triangular matrices) (CSR) |
|
|
|
B |
|
|
| SsrDusmv |
y <- αAx +
βy (Symmetric matrix) (CSR) |
|
|
|
B |
|
|
| CscDusmv |
y
<- αAx + βy or y <- αA^Tx + βy (CSC) |
|
|
|
M5 |
|
|
| CscDussv |
Solution of Ax
= b or A^Tx = b (Triangular matrices) (CSC) |
|
|
|
M5 |
|
|
| CscDusmm |
C <- αAB +
βC or C <- αA^TB + βC (CSC) |
|
|
|
M5 |
|
|
| CscDussm |
Solution of AX
= B or A^TX = B (Triangular matrices) (CSC) |
|
|
|
M5 |
|
|
| SscDusmv |
y <- αAx +
βy (Symmetric matrix) (CSC) |
|
|
|
M5 |
|
|
| D1a. Sparse BLAS (Complex) |
CsrZusmv |
y
<- αAx + βy, y <- αA^Tx + βy or y <- αA^Hx + βy (Complex matrices)
(CSR) |
|
|
|
M5 |
|
|
| CsrZussv |
Solution of Ax
= b, A^Tx = b or A^Hx = b (Complex triangular matrices) (CSR) |
|
|
|
M5 |
|
|
| CsrZusmm |
C <- αAB +
βC, C <- αA^TB + βC or C <- αA^HB + βC (Complex matrices) (CSR) |
|
|
|
M5 |
|
|
| CsrZussm |
Solution of AX
= B, A^TX = B or A^HX = B (Complex triangular matrices) (CSR) |
|
|
|
M5 |
|
|
| HsrZusmv |
y <- αAx +
βy (Hermitian matrix) (CSR) |
|
|
|
M5 |
|
|
| SsrZusmv |
y <- αAx +
βy (Complex symmetric matrix) (CSR) |
|
|
|
M5 |
|
|
| CscZusmv |
y
<- αAx + βy, y <- αA^Tx + βy or y <- αA^Hx + βy (Complex matrices)
(CSC) |
|
|
|
M5 |
|
|
| CscZussv |
Solution of Ax
= b, A^Tx = b or A^Hx = b (Complex triangular matrices) (CSC) |
|
|
|
M5 |
|
|
| CscZusmm |
C <- αAB +
βC, C <- αA^TB + βC or C <- αA^HB + βC (Complex matrices) (CSC) |
|
|
|
M5 |
|
|
| CscZussm |
Solution of AX
= B, A^TX = B or A^HX = B (Complex triangular matrices) (CSC) |
|
|
|
M5 |
|
|
| HscZusmv |
y <- αAx +
βy (Hermitian matrix) (CSC) |
|
|
|
M5 |
|
|
| SscZusmv |
y <- αAx +
βy (Complex symmetric matrix) (CSC) |
|
|
|
M5 |
|
|
| Elementary vector and matrix
operations |
D1b9. Matrix storage mode conversion |
CooCsr |
COO
-> CSR |
|
|
|
B |
|
|
| CooCsc |
COO -> CSC |
|
|
|
M5 |
|
|
| CsrCoo |
CSR -> COO |
|
|
|
B |
|
|
| CscCoo |
CSC -> COO |
|
|
|
M5 |
|
|
| CsrCsc |
CSR -> CSC |
|
|
|
M5 |
|
|
| CscCsr |
CSC -> CSR |
|
|
|
M5 |
|
|
| SsrCsr |
SSR (CSR
sparse matrix packed form) -> CSR (symmetric full matrix) |
|
|
|
B |
|
|
| SscCsc |
SSC (CSC
sparse matrix packed form) -> CSC (symmetric full matrix) |
|
|
|
M5 |
|
|
| CsrSsr |
CSR (symmetric
full matrix) -> SSR (CSR sparse matrix packed form) |
|
|
|
B |
|
|
| CscSsc |
CSC (symmetric
full matrix) -> SSC (CSC sparse matrix packed form) |
|
|
|
M5 |
|
|
| CsrDense |
CSR ->
dense matrix |
|
|
|
B |
|
|
| CscDense |
CSC ->
dense matrix |
|
|
|
M5 |
|
|
| CooDense |
COO ->
dense matrix |
|
|
|
M5 |
|
|
| DenseCsr |
Dense
matrix -> CSR |
|
|
|
B |
|
|
| DenseCsc |
Dense
matrix -> CSC |
|
|
|
M5 |
|
|
| DenseCoo |
Dense
matrix -> COO |
|
|
|
M5 |
|
|
| D1b. Other matrix operations |
CsxDiag |
Diagonal
elements of sparse matrix (CSC/CSR) |
|
|
|
M5 |
|
|
| CsxDiagInd |
Indices to
diagonal elements of sparse matrix (CSC/CSR) |
|
|
|
M5 |
|
|
| CsrTrans |
Transpose of
sparse matrix (CSR) |
|
|
|
B |
|
|
| CscTrans |
Transpose of
sparse matrix (CSC) |
|
|
|
M5 |
|
|
| CsxSort |
Sort elements
of sparse matrix (CSC/CSR) |
|
|
|
M5 |
|
|
| CsrDusadd |
C <- αA +
βB (CSR) |
|
|
|
M5 |
|
|
| CscDusadd |
C <- αA +
βB (CSC) |
|
|
|
M5 |
|
|
| DenseNnz |
Number
of nonzero elements in dense matrix |
|
|
|
M5 |
|
|
| D1b9. Matrix storage mode
conversion (Complex matrices) |
ZCooCsr |
COO -> CSR
(Complex matrices) |
|
|
|
M5 |
|
|
| ZCooCsc |
COO -> CSC
(Complex matrices) |
|
|
|
M5 |
|
|
| ZCsrCoo |
CSR -> COO
(Complex matrices) |
|
|
|
M5 |
|
|
| ZCscCoo |
CSC -> COO
(Complex matrices) |
|
|
|
M5 |
|
|
| ZCsrCsc |
CSR -> CSC
(Complex matrices) |
|
|
|
M5 |
|
|
| ZCscCsr |
CSC -> CSR
(Complex matrices) |
|
|
|
M5 |
|
|
| ZHsrCsr |
HSR (CSR
Hermitian sparse matrix packed form) -> CSR (Hermitian full matrix)
(Complex matrices) |
|
|
|
M5 |
|
|
| ZHscCsc |
HSC (CSC
Hermitian sparse matrix packed form) -> CSC (Hermitian full matrix)
(Complex matrices) |
|
|
|
M5 |
|
|
| ZSsrCsr |
SSR (CSR
sparse matrix packed form) -> CSR (symmetric full matrix) (Complex
matrices) |
|
|
|
M5 |
|
|
| ZSscCsc |
SSC (CSC
sparse matrix packed form) -> CSC (symmetric full matrix) (Complex
matrices) |
|
|
|
M5 |
|
|
| ZCsrSsr |
CSR (symmetric
full matrix) -> SSR (CSR sparse matrix packed form) (Complex matrices) |
|
|
|
M5 |
|
|
| ZCscSsc |
CSC (symmetric
full matrix) -> SSC (CSC sparse matrix packed form) (Complex matrices) |
|
|
|
M5 |
|
|
| ZCsrDense |
CSR ->
dense matrix (Complex matrices) |
|
|
|
M5 |
|
|
| ZCscDense |
CSC ->
dense matrix (Complex matrices) |
|
|
|
M5 |
|
|
| ZCooDense |
COO ->
dense matrix (Complex matrices) |
|
|
|
M5 |
|
|
| ZDenseCsr |
Dense matrix
-> CSR (Complex matrices) |
|
|
|
M5 |
|
|
| ZDenseCsc |
Dense matrix
-> CSC (Complex matrices) |
|
|
|
M5 |
|
|
| ZDenseCoo |
Dense matrix
-> COO (Complex matrices) |
|
|
|
M5 |
|
|
| D1b. Other matrix operations
(Complex matrices) |
ZCsxDiag |
Diagonal
elements of sparse matrix (Complex matrices) (CSC/CSR) |
|
|
|
M5 |
|
|
| ZCsrTrans |
Transpose of
sparse matrix (Complex matrices) (CSR) |
|
|
|
M5 |
|
|
| ZCscTrans |
Transpose of
sparse matrix (Complex matrices) (CSC) |
|
|
|
M5 |
|
|
| ZCsxSort |
Sort elements
of sparse matrix (Complex matrices) (CSC/CSR) |
|
|
|
M5 |
|
|
| CsrZusadd |
C <- αA +
βB (Complex matrices) (CSR) |
|
|
|
M5 |
|
|
| CscZusadd |
C <- αA +
βB (Complex matrices) (CSC) |
|
|
|
M5 |
|
|
| CsrDzusadd |
C <- αA +
βB (α and C are complex numbers) (CSR) |
|
|
|
M5 |
|
|
| CscDzusadd |
C <- αA +
βB (α and C are complex numbers) (CSC) |
|
|
|
M5 |
|
|
| ZDenseNnz |
Number of
nonzero elements in dense matrix (Complex matrices) |
|
|
|
M5 |
|
|
| Solution of systems of linear
equations (iterative solvers) |
D2a. General matrices |
Bicg1 |
BICG method
(simplex driver) |
|
|
|
B |
|
|
| Bicg |
BICG method
(driver) |
|
|
|
M5 |
|
|
| Bicg_r |
BICG method
(Reverse communication version) |
|
|
|
M5 |
|
|
| Bicg_s |
BICG method
(Subroutine version) |
|
|
|
M5 |
|
|
| Cgs |
CGS method
(driver) |
|
|
|
M5 |
|
|
| Cgs_r |
CGS method
(Reverse communication version) |
|
|
|
M5 |
|
|
| Cgs_s |
CGS method
(Subroutine version) |
|
|
|
M5 |
|
|
| Diom |
DIOM (driver) |
|
|
|
M5 |
|
|
| Diom_r |
DIOM (Reverse
communication version) |
|
|
|
M5 |
|
|
| Diom_s |
DIOM
(Subroutine version) |
|
|
|
M5 |
|
|
| Dqgmres |
DQGMRES method
(driver) |
|
|
|
M5 |
|
|
| Dqgmres_r |
DQGMRES method
(Reverse communication version) |
|
|
|
M5 |
|
|
| Dqgmres_s |
DQGMRES method
(Subroutine version) |
|
|
|
M5 |
|
|
| Fgmres |
FGMRES method
(driver) |
|
|
|
M5 |
|
|
| Fgmres_r |
FGMRES method
(Reverse communication version) |
|
|
|
M5 |
|
|
| Fgmres_s |
FGMRES method
(Subroutine version) |
|
|
|
M5 |
|
|
| Fom |
FOM (driver) |
|
|
|
M5 |
|
|
| Fom_r |
FOM (Reverse
communication version) |
|
|
|
M5 |
|
|
| Fom_s |
FOM
(Subroutine version) |
|
|
|
M5 |
|
|
| Gcr |
GCR method
(driver) |
|
|
|
M5 |
|
|
| Gcr_r |
GCR method
(Reverse communication version) |
|
|
|
M5 |
|
|
| Gcr_s |
GCR method
(Subroutine version) |
|
|
|
M5 |
|
|
| Gpbicg |
GPBICG method
(driver) |
|
|
|
M5 |
|
|
| Gpbicg_r |
GPBICG method
(Reverse communication version) |
|
|
|
M5 |
|
|
| Gpbicg_s |
GPBICG method
(Subroutine version) |
|
|
|
M5 |
|
|
| Orthomin |
ORTHOMIN
method (driver) |
|
|
|
M5 |
|
|
| Orthomin_r |
ORTHOMIN
method (Reverse communication version) |
|
|
|
M5 |
|
|
| Orthomin_s |
ORTHOMIN
method (Subroutine version) |
|
|
|
M5 |
|
|
| Qmr |
QMR method
(driver) |
|
|
|
M5 |
|
|
| Qmr_r |
QMR method
(Reverse communication version) |
|
|
|
M5 |
|
|
| Qmr_s |
QMR method
(Subroutine version) |
|
|
|
M5 |
|
|
| Tfqmr |
TFQMR method
(driver) |
|
|
|
M5 |
|
|
| Tfqmr_r |
TFQMR
method (Reverse communication version) |
|
|
|
M5 |
|
|
| Tfqmr_s |
TFQMR
method (Subroutine version) |
|
|
|
M5 |
|
|
| Sor |
SOR
method (driver) |
|
|
|
M5 |
|
|
| Sor_r |
SOR
method (Reverse communication version) |
|
|
|
M5 |
|
|
| Sor_s |
SOR
method (Subroutine version) |
|
|
|
M5 |
|
|
| D2a. General matrices
(Preconditioners) |
CsxDs |
Initialize
diagonal scaling preconditioner (CSC/CSR) |
|
|
|
M5 |
|
|
| CsxDsSolve |
Diagonal
scaling preconditioner (CSC/CSR) |
|
|
|
M5 |
|
|
| CsxSsor |
Initialize
symmetric successive over-relaxation (SSOR) preconditioner (CSC/CSR) |
|
|
|
M5 |
|
|
| CsrSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (CSR) |
|
|
|
M5 |
|
|
| CscSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (CSC) |
|
|
|
M5 |
|
|
| CsrIlu0 |
Initialize
incomplete LU decomposition without fill-in (ILU0) preconditioner (CSR) |
|
|
|
M5 |
|
|
| CscIlu0 |
Initialize
incomplete LU decomposition without fill-in (ILU0) preconditioner (CSC) |
|
|
|
M5 |
|
|
| CsrIlu |
Initialize
incomplete LU decomposition with level (ILU(p)) preconditioner (CSR) |
|
|
|
M5 |
|
|
| CscIlu |
Initialize
incomplete LU decomposition with level (ILU(p)) preconditioner (CSC) |
|
|
|
M5 |
|
|
| CsrIluSolve |
Incomplete LU
decomposition preconditioner (ILU) (CSR) |
|
|
|
M5 |
|
|
| CscIluSolve |
Incomplete LU
decomposition preconditioner (ILU) (CSC) |
|
|
|
M5 |
|
|
| D2b. Symmetric matrices |
Cg1 |
CG method
(symmetric positive definite matrix) (simple driver) |
|
|
|
B |
|
|
| Cg |
CG method
(symmetric positive definite matrix) (driver) |
|
|
|
M5 |
|
|
| Cg_r |
CG method
(symmetric positive definite matrix) (Reverse communication version) |
|
|
|
M5 |
|
|
| Cg_s |
CG method
(symmetric positive definite matrix) (Subroutine version) |
|
|
|
M5 |
|
|
| Cr |
CR method
(symmetric matrix) (driver) |
|
|
|
M5 |
|
|
| Cr_r |
CR method
(symmetric matrix) (Reverse communication version) |
|
|
|
M5 |
|
|
| Cr_s |
CR
method (symmetric matrix) (Subroutine version) |
|
|
|
M5 |
|
|
| D2a. Symmetric matrices
(Preconditioners) |
SsrIc0 |
Initialize
incomplete Cholesky decomposition without fill-in (IC0) preconditioner
(symmetric positive definite matrix) (CSR) |
|
|
|
M5 |
|
|
| SscIc0 |
Initialize
incomplete Cholesky decomposition without fill-in (IC0) preconditioner
(symmetric positive definite matrix) (CSC) |
|
|
|
M5 |
|
|
| SsrIcSolve |
Incomplete
Cholesky decomposition preconditioner (IC) (symmetric positive definite
matrix) (CSR) |
|
|
|
M5 |
|
|
| SscIcSolve |
Incomplete
Cholesky decomposition preconditioner (IC) (symmetric positive definite
matrix) (CSC) |
|
|
|
M5 |
|
|
| SsrSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Symmetric matrix) (CSR) |
|
|
|
M5 |
|
|
| SscSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Symmetric matrix) (CSC) |
|
|
|
M5 |
|
|
| D2c. Complex general matrices |
ZBicg |
BICG
method (Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZBicg_r |
BICG method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZBicg_s |
BICG method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZCgs |
CGS method
(Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZCgs_r |
CGS method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZCgs_s |
CGS method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZDiom |
DIOM (Complex
matrices) (driver) |
|
|
|
M5 |
|
|
| ZDiom_r |
DIOM (Complex
matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZDiom_s |
DIOM (Complex
matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZDqgmres |
DQGMRES method
(Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZDqgmres_r |
DQGMRES method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZDqgmres_s |
DQGMRES method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZFgmres |
FGMRES method
(Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZFgmres_r |
FGMRES method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZFgmres_s |
FGMRES method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZFom |
FOM (Complex
matrices) (driver) |
|
|
|
M5 |
|
|
| ZFom_r |
FOM (Complex
matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZFom_s |
FOM (Complex
matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZGcr |
GCR method
(Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZGcr_r |
GCR method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZGcr_s |
GCR method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZGpbicg |
GPBICG method
(Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZGpbicg_r |
GPBICG method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZGpbicg_s |
GPBICG method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZOrthomin |
ORTHOMIN
method (Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZOrthomin_r |
ORTHOMIN
method (Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZOrthomin_s |
ORTHOMIN
method (Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZQmr |
QMR method
(Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZQmr_r |
QMR method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZQmr_s |
QMR method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZTfqmr |
TFQMR method
(Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZTfqmr_r |
TFQMR method
(Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZTfqmr_s |
TFQMR method
(Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZSor |
SOR
method (Complex matrices) (driver) |
|
|
|
M5 |
|
|
| ZSor_r |
SOR
method (Complex matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZSor_s |
SOR
method (Complex matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| D2c. Complex general matrices
(Preconditioners) |
ZCsxDs |
Initialize
diagonal scaling preconditioner (Complex matrices) (CSC/CSR) |
|
|
|
M5 |
|
|
| ZCsxDsSolve |
Diagonal
scaling preconditioner (Complex matrices) (CSC/CSR) |
|
|
|
M5 |
|
|
| ZCsxSsor |
Initialize
symmetric successive over-relaxation (SSOR) preconditioner (Complex matrices)
(CSC/CSR) |
|
|
|
M5 |
|
|
| ZCsrSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Complex symmetric matrices)
(CSR) |
|
|
|
M5 |
|
|
| ZCscSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Complex symmetric matrices)
(CSC) |
|
|
|
M5 |
|
|
| ZCsrIlu0 |
Initialize
incomplete LU decomposition without fill-in (ILU0) preconditioner (Complex
matrices) (CSR) |
|
|
|
M5 |
|
|
| ZCscIlu0 |
Initialize
incomplete LU decomposition without fill-in (ILU0) preconditioner (Complex
matrices) (CSC) |
|
|
|
M5 |
|
|
| ZCsrIlu |
Initialize
incomplete LU decomposition with level (ILU(p)) preconditioner (Complex
matrices) (CSR) |
|
|
|
M5 |
|
|
| ZCscIlu |
Initialize
incomplete LU decomposition with level (ILU(p)) preconditioner (Complex
matrices) (CSC) |
|
|
|
M5 |
|
|
| ZCsrIluSolve |
Incomplete LU
decomposition (ILU) preconditioner (Complex matrices) (CSR) |
|
|
|
M5 |
|
|
| ZCscIluSolve |
Incomplete LU
decomposition (ILU) preconditioner (Complex matrices) (CSC) |
|
|
|
M5 |
|
|
| D2c. Complex symmetric matrices |
ZCocg |
COCG method
(Complex symmetric matrices) (driver) |
|
|
|
M5 |
|
|
| ZCocg_r |
COCG
method (Complex symmetric matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZCocg_s |
COCG
method (Complex symmetric matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| Zcocr |
COCR method
(Complex symmetric matrices) (driver) |
|
|
|
M5 |
|
|
| ZCocr_r |
COCR method
(Complex symmetric matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZCocr_s |
COCR method
(Complex symmetric matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| D2c. Complex symmetric matrices
(Preconditioners) |
ZSsrSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Complex symmetric matrices)
(CSR) |
|
|
|
M5 |
|
|
| ZSscSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Complex symmetric matrices)
(CSC) |
|
|
|
M5 |
|
|
| D2d. Hermitian matrices |
ZCg |
CG
method (Hermitian positive definite matrices) (driver) |
|
|
|
M5 |
|
|
| ZCg_r |
CG
method (Hermitian positive definite matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZCg_s |
CG
method (Hermitian positive definite matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| ZCｒ |
CR method
(Hermitian matrices) (driver) |
|
|
|
M5 |
|
|
| ZCr_r |
CR method
(Hermitian matrices) (Reverse communication version) |
|
|
|
M5 |
|
|
| ZCr_s |
CR method
(Hermitian matrices) (Subroutine version) |
|
|
|
M5 |
|
|
| D2d. Hermitian matrices
(Preconditioners) |
ZHsrIc0 |
Initialize
incomplete Cholesky decomposition without fill-in (IC0) preconditioner
(Hermitian positive definite matrices) (CSR) |
|
|
|
M5 |
|
|
| ZHscIc0 |
Initialize
incomplete Cholesky decomposition without fill-in (IC0) preconditioner
(Hermitian positive definite matrices) (CSC) |
|
|
|
M5 |
|
|
| ZHsrIcSolve |
Incomplete
Cholesky preconditioner (IC) (Hermitian positive definite matrix) (CSR) |
|
|
|
M5 |
|
|
| ZHscIcSolve |
Incomplete
Cholesky preconditioner (IC) (Hermitian positive definite matrix) (CSC) |
|
|
|
M5 |
|
|
| ZHsrSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Hermitian matrices) (CSR) |
|
|
|
M5 |
|
|
| ZHscSsorSolve |
Symmetric
successive over-relaxation (SSOR) preconditioner (Hermitian matrices) (CSC) |
|
|
|
M5 |
|
|
| Solution of systems of linear
equations (direct methods) |
D2. SuperLU (General matrices) |
Dgssv |
Solves
the system of linear equations (direct method) (sparse matrix) (SuperLU)
(simple driver) |
|
|
|
M5 |
|
|
| Dgssvx |
Solves the
system of linear equations (direct method) (sparse matrix) (SuperLU) (expert
driver) |
|
|
|
M5 |
|
|
| D2. SuperLU (Complex matrices) |
Zgssv |
Solves
the system of linear equations (direct method) (complex sparse matrix)
(SuperLU) (simple driver) |
|
|
|
M5 |
|
|
| Zgssvx |
Solves the
system of linear equations (direct method) (complex sparse matrix) (SuperLU)
(expert driver) |
|
|
|
M5 |
|
|
| Eigenvalues and eigenvectors
(sparse matrices) |
D4. Arpack (General sparse matrices) |
Dgsev |
Eigenvalues
and eigenvectors of a general sparse matrix (implicitly restarted Arnoldi
method (IRAM)) (Arpack) (driver) |
|
|
|
M5 |
|
|
| Dgsgv |
Generalized
eigenvalue problem of a general sparse matrix (implicitly restarted Arnoldi
method (IRAM)) (Arpack) (driver) |
|
|
|
M5 |
|
|
| Dnaupd |
Arnoldi
factorization of a general sparse matrix (Arpack) |
|
|
|
M5 |
|
|
| Dneupd |
Approximate
eigenvalues and eigenvectors of a general sparse matrix from Arnoldi
factorization (Arpack) |
|
|
|
M5 |
|
|
| D4. Arpack (Symmetric sparse
matrices) |
Dssev |
Eigenvalues
and eigenvectors of a symmetric sparse matrix (implicitly restarted Lanczos
method (IRLM)) (Arpack) (driver) |
|
|
|
M5 |
|
|
| Dssgv |
Generalized
eigenvalue problem of a symmetric sparse matrix (implicitly restarted Lanczos
method (IRLM)) (Arpack) (driver) |
|
|
|
M5 |
|
|
| Dsaupd |
Lanczos
factorization of a symmetric sparse matrix (Arpack) |
|
|
|
M5 |
|
|
| Dseupd |
Approximate
eigenvalues and eigenvectors of a symmetric sparse matrix from Lanczos
factorization (Arpack) |
|
|
|
M5 |
|
|
| D4. Arpack (Complex sparse
matrices) |
Zgsev |
Eigenvalues
and eigenvectors of a complex sparse matrix (implicitly restarted Arnoldi
method (IRAM)) (Arpack) (driver) |
|
|
|
M5 |
|
|
| Zgsgv |
Generalized
eigenvalue problem of a complex sparse matrix (implicitly restarted Arnoldi
method (IRAM)) (Arpack) (simple driver) |
|
|
|
M5 |
|
|
| Znaupd |
Arnoldi
factorization of a complex sparse matrix (Arpack) |
|
|
|
M5 |
|
|
| Zneupd |
Approximate
eigenvalues and eigenvectors of a general sparse matrix from Arnoldi
factorization (complex matrix) (Arpack) |
|
|
|
M5 |
|
|
| Singular value decomposition
(sparse matrices) |
D6. Arpack (General matrices) |
Dgssvd |
Singular
value decomposition (SVD) of a general sparse matrix (implicitly restarted
Lanczos method (IRLM)) (Arpack) (driver) |
|
|
|
M5 |
|
|
| Zgssvd |
Singular
value decomposition (SVD) of a complex sparse matrix (implicitly restarted
Arnoldi method (IRAM)) (Arpack) (driver) |
|
|
|
M5 |
|
|
| Differential and integral
equations |
I2. Partial differential equations |
Fem2p (*) |
Assemble
finite element matrix of Poisson equation (2D) in CSR sparse matrix format |
|
|
|
B |
|
|
| Fem3p (*) |
Assemble
finite element matrix of Poisson equation (3D) in CSR sparse matrix format |
|
|
|
M5 |
|
|
| Mesh23 (*) |
Generates
simple rectangular mesh for FEM (2D) (Triangular element) |
|
|
|
B |
|
|
| Mesh24 (*) |
Generates
simple rectangular mesh for FEM (2D) (4-node quadrangle element) |
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M5 |
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| Mesh29 (*) |
Generates
simple rectangular mesh for FEM (2D) (9-node quadrangle element) |
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M5 |
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| Mesh34 (*) |
Generates
simple rectangular mesh for FEM (3D) (4-node tetrahedral element) |
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M5 |
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| Mesh35 (*) |
Generates
simple rectangular mesh for FEM (3D) (5-node pentahedral (pyramid) element) |
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M5 |
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| Mesh36 (*) |
Generates
simple rectangular mesh for FEM (3D) (6-node pentahedral (prism) element) |
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M5 |
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| Mesh38 (*) |
Generates
simple rectangular mesh for FEM (3D) (8-node tetrahedral element) |
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M5 |
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| Data handling |
N1. Input, output of data |
MMRead |
Read
a matrix from the Matrix Market file |
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B |
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| MMReadInfo |
Read
matrix information from Matrix Market file |
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B |
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| MMWrite |
Write
a matrix to the Matrix Market file |
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B |
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| HBRead |
Read
a matrix from the Harwell-Boeing file |
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M5 |
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| HBRead1 |
Read
a matrix from the Harwell-Boeing file (simple driver) |
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M5 |
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| HBReadInfo |
Read
matrix information from Harwell-Boeing file |
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M5 |
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| HBReadInfo1 |
Read
matrix information from Harwell-Boeing file (simple driver) |
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M5 |
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| HBWrite |
Write
a matrix to the file in Harwell-Boeing format |
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M5 |
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| HBWrite1 |
Write
a matrix to the Harwell-Boeing file (Simple driver) |
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M5 |
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| ZMMRead |
Read
a matrix from the Matrix Market file (complex matrix) |
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M5 |
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| ZMMWrite |
Write
a matrix to the Matrix Market file (complex matrix) |
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M5 |
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| ZHBRead |
Read
a matrix from the Harwell-Boeing file (complex matrix) |
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M5 |
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| ZHBRead1 |
Read
a matrix from the Harwell-Boeing file (complex matrix) (simple driver) |
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M5 |
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| ZHBWrite |
Write
a matrix to the file in Harwell-Boeing format (complex matrix) |
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M5 |
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| ZHBWrite1 |
Write
a matrix to the Harwell-Boeing file (complex matrix) (simple driver) |
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M5 |
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| ReadGmsh22 (*) |
Read
FEM mesh information from Gmsh file (Version 2.2) |
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B |
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| ReadMsh2 (*) |
Read
FEM mesh information from FreeFEM++ msh (2D) file |
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M5 |
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| ReadMsh3 (*) |
Read
FEM mesh information from FreeFEM++ msh (3D) file |
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M5 |
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| ReadMesh (*) |
Read
FEM mesh information from FreeFEM++ mesh file |
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M5 |
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| WriteGmsh22 (*) |
Write
FEM mesh information to Gmsh file (Version 2.2) |
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B |
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| WriteCsv2 (*) |
Write
coordinates and their values to CSV file (2D) |
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M5 |
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| WriteCsv3 (*) |
Write
coordinates and their values to CSV file (3D) |
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M5 |
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| WriteVtkug (*) |
VTK
file output (Solution of PDE by FEM) |
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B |
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| Service routines |
R2. Error checking |
CsrCheck |
Check
sparse matrix (CSR) |
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B |
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| CscCheck |
Check
sparse matrix (CSC) |
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M5 |
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| ZCsrCheck |
Check
complex sparse matrix (CSR) |
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M5 |
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| ZCscCheck |
Check
complex sparse matrix (CSC) |
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M5 |
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