dbandedsymmatrix_functions.cpp File Reference

#include "dbandedsymmatrix_functions.h"
#include "CORE_String.h"

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Functions
void F77NAME()	dsbmv (const lapack_char *uplo, const lapack_int *N, const lapack_int *K, const lapack_real *alpha, const lapack_real *A, const lapack_int *lda, const lapack_real *x, const lapack_int *incx, const lapack_real *beta, lapack_real *y, const lapack_int *incy)
void CNAME()	dsbmm (const lapack_char *side, const lapack_int *M, const lapack_int *N, const lapack_int *K, const lapack_real *alpha, const lapack_real *A, const lapack_real *B, const lapack_int *incB, const lapack_int *ldB, const lapack_real *beta, lapack_real *C, const lapack_int *incC, const lapack_int *ldc)
void F77NAME()	dsbev (const lapack_char *jobz, const lapack_char *uplo, const lapack_int *N, const lapack_int *kd, lapack_real *S, const lapack_int *lds, lapack_real *W, lapack_real *Z, lapack_int *ldz, lapack_real *work, lapack_int *info)
void F77NAME()	dsbevx (const lapack_char *jobz, const lapack_char *range, const lapack_char *uplo, const lapack_int *N, const lapack_int *kd, lapack_real *S, const lapack_int *lds, lapack_real *Q, const lapack_int *ldq, const lapack_real *vl, const lapack_real *vu, const lapack_int *il, const lapack_int *iu, const lapack_real *abstol, lapack_int *M, lapack_real *w, lapack_real *Z, const lapack_int *LDZ, lapack_real *work, lapack_int *iWork, lapack_int *ifail, lapack_int *info)
void F77NAME()	dpbtrf (const lapack_char *uplo, const lapack_int *N, const lapack_int *kd, lapack_real *A, const lapack_int *lda, lapack_int *info)
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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void F77NAME() dpbtrf	(	const lapack_char *	uplo,
		const lapack_int *	N,
		const lapack_int *	kd,
		lapack_real *	A,
		const lapack_int *	lda,
		lapack_int *	info
	)

Referenced by DoubleBandedSymmetricMatrixCholeskyFactorization().

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void F77NAME() dsbev	(	const lapack_char *	jobz,
		const lapack_char *	uplo,
		const lapack_int *	N,
		const lapack_int *	kd,
		lapack_real *	S,
		const lapack_int *	lds,
		lapack_real *	W,
		lapack_real *	Z,
		lapack_int *	ldz,
		lapack_real *	work,
		lapack_int *	info
	)

Referenced by DoubleBandedSymmetricMatrixEigenValues().

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void F77NAME() dsbevx	(	const lapack_char *	jobz,
		const lapack_char *	range,
		const lapack_char *	uplo,
		const lapack_int *	N,
		const lapack_int *	kd,
		lapack_real *	S,
		const lapack_int *	lds,
		lapack_real *	Q,
		const lapack_int *	ldq,
		const lapack_real *	vl,
		const lapack_real *	vu,
		const lapack_int *	il,
		const lapack_int *	iu,
		const lapack_real *	abstol,
		lapack_int *	M,
		lapack_real *	w,
		lapack_real *	Z,
		const lapack_int *	LDZ,
		lapack_real *	work,
		lapack_int *	iWork,
		lapack_int *	ifail,
		lapack_int *	info
	)

Referenced by DoubleBandedSymmetricMatrixBoundedEigenValues().

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void CNAME() dsbmm	(	const lapack_char *	side,
		const lapack_int *	M,
		const lapack_int *	N,
		const lapack_int *	K,
		const lapack_real *	alpha,
		const lapack_real *	A,
		const lapack_real *	B,
		const lapack_int *	incB,
		const lapack_int *	ldB,
		const lapack_real *	beta,
		lapack_real *	C,
		const lapack_int *	incC,
		const lapack_int *	ldc
	)

Referenced by DoubleBandedSymmetricMatrixMatrixProduct().

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void F77NAME() dsbmv	(	const lapack_char *	uplo,
		const lapack_int *	N,
		const lapack_int *	K,
		const lapack_real *	alpha,
		const lapack_real *	A,
		const lapack_int *	lda,
		const lapack_real *	x,
		const lapack_int *	incx,
		const lapack_real *	beta,
		lapack_real *	y,
		const lapack_int *	incy
	)

Referenced by DoubleBandedSymmetricMatrixVectorProduct().

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