Interface to some LaPack routines. More...

#include <vector>
#include <CD_NamespaceHeader.H>
#include <CD_NamespaceFooter.H>

Include dependency graph for CD_LaPackUtils.H:

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Namespaces
namespace	LaPackUtils
	Namespace containing various useful linear algebra routines using LaPACK.

Functions
void	dgelss_ (int a_M, int a_N, int a_nRHS, double a_A, int a_LDA, double a_B, int a_LDB, double a_S, double a_rcond, int a_RANK, double a_WORK, int a_LWORK, int *a_INFO)
	This is an interface to LAPACK for solving least squares problems using singular-value decomposition.

void	dgesdd_ (char a_JOBZ, int a_M, int a_N, double a_A, int a_LDA, double a_S, double a_U, int a_LDU, double a_VT, int a_LDVT, double a_WORK, int a_LWORK, int a_IWORK, int a_INFO)
	Interface to LaPack for computing the singular value decomposition of a matrix.

void	sgesdd_ (char a_JOBZ, int a_M, int a_N, float a_A, int a_LDA, float a_S, float a_U, int a_LDU, float a_VT, int a_LDVT, float a_WORK, int a_LWORK, int a_IWORK, int a_INFO)
	Interface to LaPack for computing the singular value decomposition of a matrix.

void	dgemm_ (char a_TRANSA, char a_TRANSB, int a_M, int a_N, int a_K, double a_ALPHA, double a_A, int a_LDA, double a_B, int a_LDB, double a_BETA, double a_C, int *a_LDC)
	Interface to LaPack for matrix multiplication.

void	sgemm_ (char a_TRANSA, char a_TRANSB, int a_M, int a_N, int a_K, float a_ALPHA, float a_A, int a_LDA, float a_B, int a_LDB, float a_BETA, float a_C, int *a_LDC)
	Interface to LaPack for matrix multiplication.

void	dgesv_ (int N, int NRHS, double A, int LDA, int IPIV, double B, int LDB, int INFO)
	Interface to LaPack for computing solution to Ax=b.

int	LaPackUtils::linearIndex (const int irow, const int jcol, const int M, const int N)
	Get the index in the linearized matrix of size MxN.

bool	LaPackUtils::computeSVD (std::vector< double > &a_linU, std::vector< double > &a_linSigma, std::vector< double > &a_linVtran, const std::vector< double > &a_linA, const int &a_M, const int &a_N)
	Compute the singular value decomposition of a matrix.

bool	LaPackUtils::computeSVD (std::vector< float > &a_linU, std::vector< float > &a_linSigma, std::vector< float > &a_linVtran, const std::vector< float > &a_linA, const int &a_M, const int &a_N)
	Compute the singular value decomposition of a matrix.

bool	LaPackUtils::computePseudoInverse (std::vector< double > &a_linAplus, const std::vector< double > &a_linA, const int &a_M, const int &a_N)
	Compute the pseudoinverse of matrix through singular value decomposition.

bool	LaPackUtils::computePseudoInverse (std::vector< float > &a_linAplus, const std::vector< float > &a_linA, const int &a_M, const int &a_N)
	Compute the pseudoinverse of matrix through singular value decomposition.

void	LaPackUtils::linearizeMatrix (std::vector< double > &a_linA, int &a_M, int &a_N, const std::vector< std::vector< double > > &a_A, const char &a_format)
	Linearize a matrix to column major Fortran form by assuming row or major colum format of the input matrix.

void	LaPackUtils::linearizeColumnMajorMatrix (std::vector< double > &a_linA, int &a_M, int &a_N, const std::vector< std::vector< double > > &a_A)
	Linearize a matrix to column major Fortran form by column major format of the input matrix.

void	LaPackUtils::linearizeRowMajorMatrix (std::vector< double > &a_linA, int &a_M, int &a_N, const std::vector< std::vector< double > > &a_A)
	Linearize a matrix to column major Fortran form by row major format of the input matrix.

void	LaPackUtils::deLinearizeMatrix (std::vector< std::vector< double > > &a_A, const int &a_M, const int &a_N, const std::vector< double > &a_linA, const char &a_format)
	Delinearize a linearized matrix from column major Fortran to row or major colum matrix format.

void	LaPackUtils::deLinearizeColumnMajorMatrix (std::vector< std::vector< double > > &a_A, const int &a_M, const int &a_N, const std::vector< double > &a_linA)
	Delinearize a linearized matrix from column major Fortran to column major form.

void	LaPackUtils::deLinearizeRowMajorMatrix (std::vector< std::vector< double > > &a_A, const int &a_M, const int &a_N, const std::vector< double > &a_linA)
	Delinearize a linearized matrix from column major Fortran to row major form.

Detailed Description

Interface to some LaPack routines.

Note: The routines in this file are double precision only.

Author: Robert Marskar

Function Documentation

◆ dgelss_()

void dgelss_	(	int *	a_M,
		int *	a_N,
		int *	a_nRHS,
		double *	a_A,
		int *	a_LDA,
		double *	a_B,
		int *	a_LDB,
		double *	a_S,
		double *	a_rcond,
		int *	a_RANK,
		double *	a_WORK,
		int *	a_LWORK,
		int *	a_INFO
	)

This is an interface to LAPACK for solving least squares problems using singular-value decomposition.

Note: Double precision version.

◆ dgesdd_()

void dgesdd_	(	char *	a_JOBZ,
		int *	a_M,
		int *	a_N,
		double *	a_A,
		int *	a_LDA,
		double *	a_S,
		double *	a_U,
		int *	a_LDU,
		double *	a_VT,
		int *	a_LDVT,
		double *	a_WORK,
		int *	a_LWORK,
		int *	a_IWORK,
		int *	a_INFO
	)

Interface to LaPack for computing the singular value decomposition of a matrix.

Note: This is the double-precision version.

◆ sgemm_()

void sgemm_	(	char *	a_TRANSA,
		char *	a_TRANSB,
		int *	a_M,
		int *	a_N,
		int *	a_K,
		float *	a_ALPHA,
		float *	a_A,
		int *	a_LDA,
		float *	a_B,
		int *	a_LDB,
		float *	a_BETA,
		float *	a_C,
		int *	a_LDC
	)

Interface to LaPack for matrix multiplication.

Note: Single-precision version.

◆ sgesdd_()

void sgesdd_	(	char *	a_JOBZ,
		int *	a_M,
		int *	a_N,
		float *	a_A,
		int *	a_LDA,
		float *	a_S,
		float *	a_U,
		int *	a_LDU,
		float *	a_VT,
		int *	a_LDVT,
		float *	a_WORK,
		int *	a_LWORK,
		int *	a_IWORK,
		int *	a_INFO
	)