XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ zlangb()

double zlangb ( char  norm,
int  n,
int  kl,
int  ku,
int  ldab,
doublecomplex  ab[],
double  work[] 
)

One norm, Frobenius norm, infinity norm, or largest absolute value of any element of a complex band matrix

Purpose
This routine returns the value of the one norm, the Frobenius norm, the infinity norm, or the largest absolute value of any element of an n x n complex band matrix A, with kl sub-diagonals and ku super-diagonals.
Returns
max(abs(Aij)) when norm = 'M',
norm1(A) when norm = '1' or 'O',
normI(A) when norm = 'I', or
normF(A) when norm = 'F' or 'E'

where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares).
Note that max(abs(Aij)) is not a consistent matrix norm.
Parameters
[in]normSpecifies the value to be returned by zlangb as described above.
[in]nOrder of the matrix A. (n >= 0) (If n = 0, returns 0)
[in]klNumber of sub-diagonals of the matrix A. (kl >= 0)
[in]kuNumber of super-diagonals of the matrix A. (ku >= 0)
[in]ldabLeading dimension of the two dimensional array ab[][]. (ldab >= kl + ku + 1)
[in]ab[][]Array ab[lab][ldab] (lab >= n)
m x n band matrix A in kl+ku+1 x n band matrix form.
[out]work[]Array work[lwork] (lwork >= max(1, n) when norm = 'I', otherwise work[] is not referenced)
Work array.
Reference
LAPACK