fortran-lapack
Loading...
Searching...
No Matches
la_lapack::ggev Interface Reference

GGEV: computes for a pair of N-by-N complex nonsymmetric matrices (A,B), the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors. A generalized eigenvalue for a pair of matrices (A,B) is a scalar lambda or a ratio alpha/beta = lambda, such that A - lambda*B is singular. It is usually represented as the pair (alpha,beta), as there is a reasonable interpretation for beta=0, and even for both being zero. The right generalized eigenvector v(j) corresponding to the generalized eigenvalue lambda(j) of (A,B) satisfies A * v(j) = lambda(j) * B * v(j). The left generalized eigenvector u(j) corresponding to the generalized eigenvalues lambda(j) of (A,B) satisfies u(j)**H * A = lambda(j) * u(j)**H * B where u(j)**H is the conjugate-transpose of u(j). More...

Public Member Functions

 la_cggev
 
 la_dggev
 
 la_qggev
 
 la_sggev
 
 la_wggev
 
 la_zggev
 

Detailed Description

GGEV: computes for a pair of N-by-N complex nonsymmetric matrices (A,B), the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors. A generalized eigenvalue for a pair of matrices (A,B) is a scalar lambda or a ratio alpha/beta = lambda, such that A - lambda*B is singular. It is usually represented as the pair (alpha,beta), as there is a reasonable interpretation for beta=0, and even for both being zero. The right generalized eigenvector v(j) corresponding to the generalized eigenvalue lambda(j) of (A,B) satisfies A * v(j) = lambda(j) * B * v(j). The left generalized eigenvector u(j) corresponding to the generalized eigenvalues lambda(j) of (A,B) satisfies u(j)**H * A = lambda(j) * u(j)**H * B where u(j)**H is the conjugate-transpose of u(j).

Member Function/Subroutine Documentation

◆ la_cggev()

la_lapack::ggev::la_cggev

◆ la_dggev()

la_lapack::ggev::la_dggev

◆ la_qggev()

la_lapack::ggev::la_qggev

◆ la_sggev()

la_lapack::ggev::la_sggev

◆ la_wggev()

la_lapack::ggev::la_wggev

◆ la_zggev()

la_lapack::ggev::la_zggev

The documentation for this interface was generated from the following file: