#include "lapack_functions.h"

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Functions
void	DoubleBandedSymmetricMatrixVectorProduct (const tLVectorIndex &nX, const tLVectorIncrement &incX, const double x, const tLVectorIndex &nRows, const tLVectorIndex &nBands, const double A, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &nY, const tLVectorIncrement &incY, double *y)
	compute Y:=Beta.Y+alpha A.X More...

void	DoubleBandedSymmetricMatrixMatrixProduct (const tBoolean &isLeftSide, const tLVectorIndex &nSRows, const tLVectorIndex &nSBands, const double S, const tLVectorIndex &nBRows, const tLVectorIndex &nBCols, const tLVectorIncrement &incB, const tLVectorIndex &ldB, const double B, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &nCRows, const tLVectorIndex &nCCols, const tLVectorIncrement &incC, const tLVectorIndex &ldC, double *C)

tBoolean	DoubleBandedSymmetricMatrixEigenValues (const tLVectorIndex &nRowsA, const tLVectorIndex &nBandsA, double A, const tLVectorIndex &nU, double U, const tLVectorIndex &ldW, double *W)
	compute all the eigen values or vectors (if W is not null or ldW<=1) More...

tBoolean	DoubleBandedSymmetricMatrixBoundedEigenValues (const tLVectorIndex &nRowsA, const tLVectorIndex &nBandsA, double A, const tLVectorIndex &nU, double U, const tLVectorIndex &minIndex, const tLVectorIndex &maxIndex, const double &minBound, const double &maxBound, const tLVectorIndex &ldQ, double Q, const tLVectorIndex &ldW, double W)
	compute the selected eigen values or vectors (if W is not null or ldW<=1) with More...

tBoolean	DoubleBandedSymmetricMatrixCholeskyFactorization (const tLVectorIndex &nRows, const tLVectorIndex &nBands, double *A)
	make the cholesky factorization A=tU.U More...

Function Documentation

tBoolean DoubleBandedSymmetricMatrixBoundedEigenValues	(	const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	nBandsA,
		double *	A,
		const tLVectorIndex &	nU,
		double *	U,
		const tLVectorIndex &	minIndex,
		const tLVectorIndex &	maxIndex,
		const double &	minBound,
		const double &	maxBound,
		const tLVectorIndex &	ldQ,
		double *	Q,
		const tLVectorIndex &	ldW,
		double *	W
	)

compute the selected eigen values or vectors (if W is not null or ldW<=1) with

index in [minIndex,maxIndex] if in [1,nRows]
values in [minBound,maxBound] if minBound!=maxBound

compute also the eigen vector if W is not null and ldW >1

References dsbevx(), F77NAME, getSafeMinimum(), lapack_char, lapack_int, lapack_real, null, CORE_String::toString(), and tString.

Referenced by LAP_DoubleBandedSymmetricMatrix::computeEigenValueDecomposition().

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tBoolean DoubleBandedSymmetricMatrixCholeskyFactorization	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	nBands,
		double *	A
	)

make the cholesky factorization A=tU.U

References dpbtrf(), F77NAME, lapack_char, lapack_int, and CORE_Integer::toString().

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tBoolean DoubleBandedSymmetricMatrixEigenValues	(	const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	nBandsA,
		double *	A,
		const tLVectorIndex &	nU,
		double *	U,
		const tLVectorIndex &	ldW,
		double *	W
	)

compute all the eigen values or vectors (if W is not null or ldW<=1)

References dsbev(), F77NAME, lapack_char, lapack_int, lapack_real, null, CORE_String::toString(), and tString.

Referenced by LAP_DoubleBandedSymmetricMatrix::computeEigenValues().

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void DoubleBandedSymmetricMatrixMatrixProduct	(	const tBoolean &	isLeftSide,
		const tLVectorIndex &	nSRows,
		const tLVectorIndex &	nSBands,
		const double *	S,
		const tLVectorIndex &	nBRows,
		const tLVectorIndex &	nBCols,
		const tLVectorIncrement &	incB,
		const tLVectorIndex &	ldB,
		const double *	B,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		const tLVectorIndex &	nCRows,
		const tLVectorIndex &	nCCols,
		const tLVectorIncrement &	incC,
		const tLVectorIndex &	ldC,
		double *	C
	)

References CNAME, dsbmm(), lapack_char, and lapack_int.

Referenced by LAP_DoubleBandedSymmetricMatrix::matrixProduct().

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void DoubleBandedSymmetricMatrixVectorProduct	(	const tLVectorIndex &	nX,
		const tLVectorIncrement &	incX,
		const double *	x,
		const tLVectorIndex &	nRows,
		const tLVectorIndex &	nBands,
		const double *	A,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		const tLVectorIndex &	nY,
		const tLVectorIncrement &	incY,
		double *	y
	)

compute Y:=Beta.Y+alpha A.X

References dsbmv(), F77NAME, lapack_char, and lapack_int.

Referenced by LAP_DoubleBandedSymmetricMatrix::vectorProduct().

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Functions

Function Documentation