lapack.h File Reference

interface methods for eigenvector computation and matrix multiplication using different versions of LAPACK and BLAS More...

Go to the source code of this file.

Functions
EXTERN SCIP_RETCODE	SCIPlapackComputeIthEigenvalue (BMS_BLKMEM *blkmem, SCIP_Bool geteigenvectors, int n, SCIP_Real *A, int i, SCIP_Real *eigenvalue, SCIP_Real *eigenvector)
EXTERN SCIP_RETCODE	SCIPlapackMatrixVectorMult (int nrows, int ncols, SCIP_Real *matrix, SCIP_Real *vector, SCIP_Real *result)

Detailed Description

interface methods for eigenvector computation and matrix multiplication using different versions of LAPACK and BLAS

Author

Tristan Gally

This file is used to call the LAPACK routine DSYEVR (double-symmetric-eigenvector computation) and the BLAS routine DGEMV (double-general-matrix-vector multiplication). It is needed because different SDP-solvers need different BLAS/LAPACK-versions with different data types (for example long long int for Openblas/SDPA vs. int for ATLAS/DSDP).

Definition in file lapack.h.

Function Documentation

EXTERN SCIP_RETCODE SCIPlapackComputeIthEigenvalue	(	BMS_BLKMEM *	blkmem,
		SCIP_Bool	geteigenvectors,
		int	n,
		SCIP_Real *	A,
		int	i,
		SCIP_Real *	eigenvalue,
		SCIP_Real *	eigenvector
	)

computes the i-th eigenvalue of a symmetric matrix using LAPACK, where 1 is the smallest and n the largest, matrix has to be given with all n^2 entries

Parameters

blkmem	block memory
geteigenvectors	should also the eigenvectors be computed?
n	size of matrix
A	matrix for which eigenvalues should be computed
i	index of eigenvalue to be computed
eigenvalue	pointer to store eigenvalue
eigenvector	pointer to store eigenvector

Referenced by checkFixedFeasibilitySdp(), cutUsingEigenvector(), SCIP_DECL_CONSLOCK(), and SCIPconsSdpCheckSdpCons().

EXTERN SCIP_RETCODE SCIPlapackMatrixVectorMult	(	int	nrows,
		int	ncols,
		SCIP_Real *	matrix,
		SCIP_Real *	vector,
		SCIP_Real *	result
	)

performs matrix-vector-multiplication using BLAS

Parameters

nrows	number of rows in matrix
ncols	number of cols in matrix
matrix	the matrix we want to multiply
vector	vector we want to multiply with the matrix
result	pointer to store the resulting vector

Definition at line 215 of file lapack_dsdp.c.

References F77_FUNC.

Referenced by cutUsingEigenvector().