XLPack 6.1
Excel VBA Numerical Library Reference Manual
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Functions
D4a4. Ordinary eigenvalue problems (general matrices) (complex) - Computational routines

Functions

Sub Zgebak (Job As String, Side As String, N As Long, Ilo As Long, Ihi As Long, Scal() As Double, M As Long, V() As Complex, Info As Long)
 Eigenvectors of original complex general matrix by backward transformation on balanced matrix
 
Sub Zgebal (Job As String, N As Long, A() As Complex, Ilo As Long, Ihi As Long, Scal() As Double, Info As Long)
 Balancing of a complex general matrix
 
Sub Zgehrd (N As Long, Ilo As Long, Ihi As Long, A() As Complex, Tau() As Complex, Info As Long)
 Reduces a complex general matrix to upper Hessenberg form
 
Sub Zhsein (Side As String, Eigsrc As String, Initv As String, Selct() As Boolean, N As Long, H() As Complex, W() As Complex, Vl() As Complex, Vr() As Complex, Mm As Long, M As Long, Ifaill() As Long, Ifailr() As Long, Info As Long)
 Eigenvectors of complex Hessenberg matrix by inverse iteration method
 
Sub Zhseqr (Job As String, Compz As String, N As Long, Ilo As Long, Ihi As Long, H() As Complex, W() As Complex, Z() As Complex, Info As Long)
 Eigenvalues and Schur factorization of complex Hessenberg matrix by QR method
 
Sub Ztrevc3 (Side As String, Howmny As String, Selct() As Boolean, N As Long, T() As Complex, Vl() As Complex, Vr() As Complex, Mm As Long, M As Long, Info As Long)
 Eigenvectors of complex triangular matrix of Schur factorization
 
Sub Ztrexc (Compq As String, N As Long, T() As Complex, Q() As Complex, Ifst As Long, Ilst As Long, Info As Long)
 Reordering of Schur factorization of complex matrix
 
Sub Ztrsen (Job As String, Compq As String, Selct() As Boolean, N As Long, T() As Complex, Q() As Complex, W() As Complex, M As Long, S As Double, Sep As Double, Info As Long)
 Reordering of Schur factorization of complex matrix and condition numbers of cluster of eigenvalues and/or invariant subspace
 
Sub Ztrsna (Job As String, Howmny As String, Selct() As Boolean, N As Long, T() As Complex, Vl() As Complex, Vr() As Complex, S() As Double, Sep() As Double, Mm As Long, M As Long, Info As Long)
 Condition numbers for eigenvalues and/or eigenvectors of complex upper triangular matrix
 
Sub Ztrsyl (Transa As String, Transb As String, Isign As Long, M As Long, N As Long, A() As Complex, B() As Complex, C() As Complex, Scal As Double, Info As Long)
 Solve complex Sylvester matrix equation
 
Sub Zunghr (N As Long, Ilo As Long, Ihi As Long, A() As Complex, Tau() As Complex, Info As Long)
 Generates a complex transform matrix to Hessenberg form
 
Sub Zunmhr (Side As String, Trans As String, M As Long, N As Long, Ilo As Long, Ihi As Long, A() As Complex, Tau() As Complex, C() As Complex, Info As Long)
 Multiplies by a complex transform matrix to Hessenberg form
 

Detailed Description

This is the group of D4a4. Ordinary eigenvalue problems (general matrices) (complex) - Computational routines.