dfullsymmatrix_functions.h File Reference

#include "lapack_functions.h"

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Functions
void	DoubleFullSymmetricMatrixVectorProduct (const tLVectorIndex &nX, const tLVectorIncrement &incX, const double *x, const tLVectorIndex &nRows, const tLVectorIndex &ldA, 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	DoubleFullSymmetricMatrixMatrixProduct (const tBoolean &isLeftSide, const tLVectorIndex &nRowsA, const tLVectorIndex &ldA, const double *A, const tLVectorIndex &nRowsB, const tLVectorIndex &nColsB, const tLVectorIndex &ldB, const tBoolean &isBSymmetric, const double *B, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &nRowsC, const tLVectorIndex &nColsC, const tLVectorIndex &ldC, double *C)
	compute matric matrix product More...
void	DoubleFullSymmetricMatrixRankSymmetricProduct (const tLVectorIncrement &incX, const double *X, const double &alpha, const tLVectorIndex &nS, const tLVectorIndex &ldS, double *S)
	compute the symmetric matrix S+=alpha X tX More...
void	DoubleFullSymmetricMatrixKRankSymmetricProduct (const tLVectorIndex &nRowAs, const tLVectorIndex &nColsA, const tLVectorIncrement &incA, const tLVectorIndex &ldA, const tBoolean &isTransA, const double *A, const double &alpha, const double &beta, const tLVectorIndex &nD, const tLVectorIncrement &incD, const double *D, const tLVectorIndex &nS, const tLVectorIncrement &incS, const tLVectorIndex &ldS, double *S)
	compute the symmetric matrix S:= beta.S+alpha* A. tA or S=beta.S+alpha tA . A More...
tBoolean	DoubleFullSymmetricMatrixEigenValues (const tLVectorIndex &nRowsA, const tLVectorIndex &nColsA, const tLVectorIndex &ldA, double *A, const tLVectorIndex &nU, double *U, const tBoolean &areEigenVectorComputed)
	compute the eigen values of the matrix A in U and store in A the eigen bvectors if areEigneVectorComputed More...
tBoolean	DoubleFullSymmetricMatrixBoundedEigenValues (const tLVectorIndex &nRowsA, const tLVectorIndex &nColsA, const tLVectorIndex &ldA, double *A, const tLVectorIndex &nU, double *U, const tBoolean &areEigenVectorComputed, const tLVectorIndex &minIndex, const tLVectorIndex &maxIndex, const double &minBound, const double &maxBound, const tLVectorIndex &ldZ, double *Z)
	compute only selected eigen values of the matrix A in U and store in Z the eigen vectors if areEigneVectorComputed More...
tBoolean	DoubleFullSymmetricMatrixCholeskyFactorization (const tLVectorIndex &nRowsA, const tLVectorIndex &ldA, double *A)
tBoolean	DoubleFullSymmetricMatrixBunchKaufmanFactorization (const tLVectorIndex &nRows, const tLVectorIndex &ldA, double *A, lapack_int *ipiv)
tBoolean	DoubleFullSymmetricMatrixInverse (const tLVectorIndex &nRows, const tLVectorIndex &ldA, double *A, const lapack_int *ipiv)

Function Documentation

tBoolean DoubleFullSymmetricMatrixBoundedEigenValues	(	const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	nColsA,
		const tLVectorIndex &	ldA,
		double *	A,
		const tLVectorIndex &	nU,
		double *	U,
		const tBoolean &	areEigenVectorComputed,
		const tLVectorIndex &	minIndex,
		const tLVectorIndex &	maxIndex,
		const double &	minBound,
		const double &	maxBound,
		const tLVectorIndex &	ldZ,
		double *	Z
	)

compute only selected eigen values of the matrix A in U and store in Z the eigen vectors if areEigneVectorComputed

References dsyevx(), F77NAME, getBlockSizeEnvironment(), getSafeMinimum(), lapack_char, lapack_int, and lapack_real.

Referenced by LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition().

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tBoolean DoubleFullSymmetricMatrixBunchKaufmanFactorization	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	ldA,
		double *	A,
		lapack_int *	ipiv
	)

References dsytrf(), F77NAME, getBlockSizeEnvironment(), lapack_char, lapack_int, and lapack_real.

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tBoolean DoubleFullSymmetricMatrixCholeskyFactorization	(	const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	ldA,
		double *	A
	)

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

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tBoolean DoubleFullSymmetricMatrixEigenValues	(	const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	nColsA,
		const tLVectorIndex &	ldA,
		double *	A,
		const tLVectorIndex &	nU,
		double *	U,
		const tBoolean &	areEigenVectorComputed
	)

compute the eigen values of the matrix A in U and store in A the eigen bvectors if areEigneVectorComputed

References dsyev(), F77NAME, getBlockSizeEnvironment(), lapack_char, lapack_int, lapack_real, CORE_String::toString(), and tString.

Referenced by LAP_DoubleFullSymmetricMatrix::computeEigenValues().

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tBoolean DoubleFullSymmetricMatrixInverse	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	ldA,
		double *	A,
		const lapack_int *	ipiv
	)

References dsytri(), F77NAME, getBlockSizeEnvironment(), lapack_char, lapack_int, and lapack_real.

Referenced by LAP_DoubleFullSymmetricMatrix::inverse().

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void DoubleFullSymmetricMatrixKRankSymmetricProduct	(	const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	nColsA,
		const tLVectorIncrement &	incA,
		const tLVectorIndex &	ldA,
		const tBoolean &	isTransA,
		const double *	A,
		const double &	alpha,
		const double &	beta,
		const tLVectorIndex &	nD,
		const tLVectorIncrement &	incD,
		const double *	D,
		const tLVectorIndex &	nS,
		const tLVectorIncrement &	incS,
		const tLVectorIndex &	ldS,
		double *	S
	)

compute the symmetric matrix S:= beta.S+alpha* A. tA or S=beta.S+alpha tA . A

compute the symmetric matrix S:= beta.S+alpha* A. tA or S=beta.S+alpha tA . A

References CNAME, dsyrk(), dsyrkd(), F77NAME, lapack_char, lapack_int, and tLVectorIndex.

Referenced by LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct().

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void DoubleFullSymmetricMatrixMatrixProduct	(	const tBoolean &	isLeftSide,
		const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	ldA,
		const double *	A,
		const tLVectorIndex &	nRowsB,
		const tLVectorIndex &	nColsB,
		const tLVectorIndex &	ldB,
		const tBoolean &	isBSymmetric,
		const double *	B,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		const tLVectorIndex &	nRowsC,
		const tLVectorIndex &	nColsC,
		const tLVectorIndex &	ldC,
		double *	C
	)

compute matric matrix product

• C=beta.C +alpha A. B where A is symmetric of size n, B of size n x m and C of size n x m of isLeftSide is true
• C=beta.C +alpha B. A where A is symmetric of size n, B of size m x n and C of size m x n of isLeftSide is false If m=n B may be also full symmetric

Parameters

isLeftSide	to compute A.B or B.A
nRowsA	number of rows ofthe symmetric matrix A
ldA	number of memeory displacement between A[i,j] and A[i,j+1]
A	values of A stored by column
nRowsB	number of rows of the matrix B
nColsB	number of columns of the matrix B
ldB	number of memory displacement between B[i,j] and B[i,j+1]
isBSymmetric	if B is symmetric
B	values of B stored by column
alpha	alpha value
beta	beta value
nRowsC	number of rows of the matrix C
nColsC	number of columns of the matrix C
ldC	number of memory displacement between C[i,j] and C[i,j+1]
C	values of C stored by column

References CNAME, dsymm(), dsymsym(), F77NAME, lapack_char, and lapack_int.

Referenced by LAP_DoubleFullSymmetricMatrix::matrixProduct().

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void DoubleFullSymmetricMatrixRankSymmetricProduct	(	const tLVectorIncrement &	incX,
		const double *	X,
		const double &	alpha,
		const tLVectorIndex &	nS,
		const tLVectorIndex &	ldS,
		double *	S
	)

compute the symmetric matrix S+=alpha X tX

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

Referenced by LAP_DoubleFullSymmetricMatrix::dotProduct().

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void DoubleFullSymmetricMatrixVectorProduct	(	const tLVectorIndex &	nX,
		const tLVectorIncrement &	incX,
		const double *	x,
		const tLVectorIndex &	nRows,
		const tLVectorIndex &	ldA,
		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

Parameters

nX	size of x
incX	increment of x
x	: values of x
nRows	number of rows of A
ldA	distance in memory netween A[i][j] and A[i][j+1]
A	values of A stored by column
alpha	alpha value
beta	beta value
nY	size of y
incY:increment	of y
y	values of y

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

Referenced by LAP_DoubleFullSymmetricMatrix::vectorProduct().

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