lapack_oct_m Module Reference

This module contains interfaces for LAPACK routines. More...

Detailed Description

This module contains interfaces for LAPACK routines.

Data Types
interface	dgeev
	Computes for an \( N \times N \) complex nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors. More...
interface	dsyevx
interface	lapack_gelss
interface	lapack_geqrf
	Computes a QR factorization of a real \(m \times n\) matrix A: More...
interface	lapack_gesvx
interface	lapack_getrf
interface	lapack_getri
interface	lapack_heev
	Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix A. More...
interface	lapack_hegv
	Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, of the form \(Ax=(\lambda)Bx, ABx=(\lambda)x, \mbox{ or } BAx=(\lambda)x \). Here A and B are assumed to be Hermitian and B is also positive definite. More...
interface	lapack_hegvx
	Computes selected eigenvalues, and optionally, eigenvectors of a complex generalized Hermitian-definite eigenproblem, of the form \(Ax=(\lambda)Bx, ABx=(\lambda)x, \mbox{ or } BAx=(\lambda)x \). Here A and B are assumed to be Hermitian and B is also positive definite. Eigenvalues and eigenvectors can be selected by specifying either a range of values or a range of indices for the desired eigenvalues. More...
interface	lapack_orgqr
	Generates an \( M \times N \) real matrix Q with orthonormal columns, which is defined as the first N columns of a product of K elementary reflectors of order M. More...
interface	lapack_potrf
	computes the Cholesky factorization of a real symmetric positive definite matrix A. More...
interface	lapack_syev
	Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A. More...
interface	lapack_sygv
	Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form \(Ax=(\lambda)Bx, ABx=(\lambda)x, \mbox{ or } BAx=(\lambda)x \). Here A and B are assumed to be symmetric and B is also positive definite. More...
interface	lapack_sygvx
	Computes selected eigenvalues, and optionally, eigenvectors of a real generalized symmetric-definite eigenproblem, of the form \(Ax=(\lambda)Bx, ABx=(\lambda)x, \mbox{ or } BAx=(\lambda)x \). Here A and B are assumed to be symmetric and B is also positive definite. Eigenvalues and eigenvectors can be selected by specifying either a range of values or a range of indices for the desired eigenvalues. More...
interface	lapack_sytrf
interface	lapack_sytri
interface	zgeev
interface	zheevx