LAPack support for various platforms. More...

#include "BLAS.h"

Include dependency graph for LAPack.h:

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Functions
void	dgecon_ (const char &norm, const int &n, const Real A, const int &lda, const Real &anorm, Real rcond, Real work, int iwork, int &info)
	Estimates the reciprocal of the condition number of the matrix A. More...

void	dgesv_ (const int &n, const int &nrhs, Real A, const int &lda, int ipiv, Real *B, const int &ldb, int &info)
	Solves the linear equation system Ax=b*. More...

void	dgetrf_ (const int &m, const int &n, Real A, const int &lda, int ipiv, int &info)
	Computes an LU factorization of a general M-by-N matrix A. More...

void	dgetri_ (const int &n, Real A, const int &lda, int ipiv, Real *work, const int &lwork, int &info)
	Computes the inverse of a matrix based on its LU factorization. More...

void	dgetrs_ (const char &trans, const int &n, const int &nrhs, Real A, const int &lda, int ipiv, Real *B, const int &ldb, int &info)
	Solves the equation system Ax=b* when A is already factorized. More...

double	dlange_ (const char &norm, const int &m, const int &n, const Real A, const int &lda, Real work)
	Returns a norm of the matrix A. More...

void	dposv_ (const char &uplo, const int &n, const int &nrhs, Real A, const int &lda, Real B, const int &ldb, int &info)
	Solves the symmetric linear equation system Ax=b*. More...

void	dpotrs_ (const char &uplo, const int &n, const int &nrhs, Real A, const int &lda, Real B, const int &ldb, int &info)
	Solves the symmetric equation system Ax=b* for prefactored A. More...

void	dsyev_ (const char &jobz, const char &uplo, const int &n, double A, const int &lda, double w, double *work, const int &lwork, int &info)
	Solves the standard eigenproblem Ax=(lambda)x. More...

void	dsyevx_ (const char &jobz, const char &range, const char &uplo, const int &n, Real a, const int &lda, const Real &vl, const Real &vu, const int &il, const int &iu, const Real &abstol, int &m, Real w, Real z, const int &ldz, Real work, const int &lwork, int iwork, int ifail, int &info)
	Solves the standard eigenproblem Ax=(lambda)x. More...

void	dsygvx_ (const int &itype, const char &jobz, const char &range, const char &uplo, const int &n, Real a, const int &lda, Real b, const int &ldb, const Real &vl, const Real &vu, const int &il, const int &iu, const Real &abstol, int &m, Real w, Real z, const int &ldz, Real work, const int &lwork, int iwork, int *ifail, int &info)
	Solves the generalized eigenproblem Ax=(lambda)B*x. More...

void	dgeev_ (const char &jobvl, const char &jobvr, const int &n, Real a, const int &lda, Real wr, Real wi, Real vl, const int &ldvl, Real vr, const int &ldvr, Real work, const int &lwork, int &info)
	Solves the non-symmetric eigenproblem Ax=(lambda)x. More...

Detailed Description

LAPack support for various platforms.

Date: Jan 10 2016

Author: Knut Morten Okstad / SINTEF

Function Documentation

◆ dgecon_()

void dgecon_	(	const char &	norm,
		const int &	n,
		const Real *	A,
		const int &	lda,
		const Real &	anorm,
		Real *	rcond,
		Real *	work,
		int *	iwork,
		int &	info
	)

Estimates the reciprocal of the condition number of the matrix A.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by DenseMatrix::solve().

◆ dgeev_()

void dgeev_	(	const char &	jobvl,
		const char &	jobvr,
		const int &	n,
		Real *	a,
		const int &	lda,
		Real *	wr,
		Real *	wi,
		Real *	vl,
		const int &	ldvl,
		Real *	vr,
		const int &	ldvr,
		Real *	work,
		const int &	lwork,
		int &	info
	)

Solves the non-symmetric eigenproblem A*x=(lambda)*x.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by DenseMatrix::solveEigNon().

◆ dgesv_()

void dgesv_	(	const int &	n,
		const int &	nrhs,
		Real *	A,
		const int &	lda,
		int *	ipiv,
		Real *	B,
		const int &	ldb,
		int &	info
	)

Solves the linear equation system A*x=b.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by utl::solve(), and DenseMatrix::solve().

◆ dgetrf_()

void dgetrf_	(	const int &	m,
		const int &	n,
		Real *	A,
		const int &	lda,
		int *	ipiv,
		int &	info
	)

Computes an LU factorization of a general M-by-N matrix A.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by utl::invert(), and utl::solve().

◆ dgetri_()

void dgetri_	(	const int &	n,
		Real *	A,
		const int &	lda,
		int *	ipiv,
		Real *	work,
		const int &	lwork,
		int &	info
	)

Computes the inverse of a matrix based on its LU factorization.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by utl::invert().

◆ dgetrs_()

void dgetrs_	(	const char &	trans,
		const int &	n,
		const int &	nrhs,
		Real *	A,
		const int &	lda,
		int *	ipiv,
		Real *	B,
		const int &	ldb,
		int &	info
	)

Solves the equation system A*x=b when A is already factorized.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by utl::solve(), and DenseMatrix::solve().

◆ dlange_()

double dlange_	(	const char &	norm,
		const int &	m,
		const int &	n,
		const Real *	A,
		const int &	lda,
		Real *	work
	)

Returns a norm of the matrix A.

This is a FORTRAN-77 function in the LAPack library.

See also: LAPack library documentation.

Referenced by DenseMatrix::solve().

◆ dposv_()

void dposv_	(	const char &	uplo,
		const int &	n,
		const int &	nrhs,
		Real *	A,
		const int &	lda,
		Real *	B,
		const int &	ldb,
		int &	info
	)

Solves the symmetric linear equation system A*x=b.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by DenseMatrix::solve().

◆ dpotrs_()

void dpotrs_	(	const char &	uplo,
		const int &	n,
		const int &	nrhs,
		Real *	A,
		const int &	lda,
		Real *	B,
		const int &	ldb,
		int &	info
	)

Solves the symmetric equation system A*x=b for prefactored A.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by DenseMatrix::solve().

◆ dsyev_()

void dsyev_	(	const char &	jobz,
		const char &	uplo,
		const int &	n,
		double *	A,
		const int &	lda,
		double *	w,
		double *	work,
		const int &	lwork,
		int &	info
	)

Solves the standard eigenproblem A*x=(lambda)*x.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by SymmTensor::principal().

◆ dsyevx_()

void dsyevx_	(	const char &	jobz,
		const char &	range,
		const char &	uplo,
		const int &	n,
		Real *	a,
		const int &	lda,
		const Real &	vl,
		const Real &	vu,
		const int &	il,
		const int &	iu,
		const Real &	abstol,
		int &	m,
		Real *	w,
		Real *	z,
		const int &	ldz,
		Real *	work,
		const int &	lwork,
		int *	iwork,
		int *	ifail,
		int &	info
	)

Solves the standard eigenproblem A*x=(lambda)*x.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by DenseMatrix::solveEig().

◆ dsygvx_()

void dsygvx_	(	const int &	itype,
		const char &	jobz,
		const char &	range,
		const char &	uplo,
		const int &	n,
		Real *	a,
		const int &	lda,
		Real *	b,
		const int &	ldb,
		const Real &	vl,
		const Real &	vu,
		const int &	il,
		const int &	iu,
		const Real &	abstol,
		int &	m,
		Real *	w,
		Real *	z,
		const int &	ldz,
		Real *	work,
		const int &	lwork,
		int *	iwork,
		int *	ifail,
		int &	info
	)

Solves the generalized eigenproblem A*x=(lambda)*B*x.

This is a FORTRAN-77 subroutine in the LAPack library.

See also: LAPack library documentation.

Referenced by DenseMatrix::solveEig().

Functions

Detailed Description

Function Documentation

◆ dgecon_()

◆ dgeev_()

◆ dgesv_()

◆ dgetrf_()

◆ dgetri_()

◆ dgetrs_()

◆ dlange_()

◆ dposv_()

◆ dpotrs_()

◆ dsyev_()

◆ dsyevx_()

◆ dsygvx_()