dfullmatrix_functions.h File Reference

#include "lapack_functions.h"

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Functions
void	DoubleFullMatrixVectorProduct (const tLVectorIndex &lx, const tLVectorIncrement &incx, const double *x, const tBoolean &isTransposed, const tLVectorIndex &nRows, const tLVectorIndex &nCols, const tLVectorIndex &ldaA, const double *A, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &ly, const tLVectorIncrement &incy, double *y)
	compute Y=beta.Y + alpha op(A). X where op(A)=A or op(A)=tA More...
void	DoubleFullUpperMatrixVectorProduct (const tBoolean &isTransA, const tLVectorIndex &nRowsA, const tLVectorIndex &ldA, const double *A, const tLVectorIndex &nX, const tLVectorIncrement &incX, double *x)
	compute X=op(A). X where op(A)=A or op(A)=tA where A is Upper matrix More...
void	DoubleFullMatrixMatrixProduct (const tLVectorIndex &nARows, const tLVectorIndex &nACols, const tLVectorIndex &ldA, const double *A, const tLVectorIndex &nBRows, const tLVectorIndex &nBCols, const tLVectorIndex &ldB, const double *B, const tBoolean &isTrA, const tBoolean &isTrB, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &nCRows, const tLVectorIndex &nCCols, const tLVectorIndex &ldC, double *C)
int	DoubleFullMatrixEigenValues (const tLVectorIndex &nRows, const tLVectorIndex &nCols, const tLVectorIndex &ld, double *A, const tLVectorIndex &nU, double *U, double *C)
int	DoubleFullMatrixLUFactorization (const tLVectorIndex &nRows, const tLVectorIndex &nCols, const tLVectorIndex &ld, double *A, lapack_int *LU_pivots)
bool	DoubleFullMatrixInverse (const tLVectorIndex &nRows, const tLVectorIndex &nCols, const tLVectorIndex &ld, const lapack_int *ipiv, double *A)
bool	DoubleFullMatrixSolveMatrixEquation (const tLVectorIndex &nARows, const tLVectorIndex &nACols, const tLVectorIndex &nAMaxRows, const tLVectorIndex &nAMaxCols, const tLVectorIndex &ldA, const tBoolean &isTransA, const lapack_int *ipiv, const double *A, const tLVectorIndex &nBRows, const tLVectorIndex &nBCols, const tLVectorIndex &ldB, double *B)
int	DoubleFullMatrixQRFactorization (const tLVectorIndex &nRows, const tLVectorIndex &nCols, const tLVectorIndex &nMaxRows, const tLVectorIndex &nMaxCols, const tLVectorIndex &ld, double *A, const tBoolean &isOnlyQ)
int	DoubleFullMatrixPQRFactorization (const tLVectorIndex &nRows, const tLVectorIndex &nCols, const tLVectorIndex &nMaxRows, const tLVectorIndex &nMaxCols, const tLVectorIndex &ld, double *A, const tBoolean &isOnlyQ)

Function Documentation

int DoubleFullMatrixEigenValues	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	nCols,
		const tLVectorIndex &	ld,
		double *	A,
		const tLVectorIndex &	nU,
		double *	U,
		double *	C
	)

References dgeev(), F77NAME, lapack_char, lapack_int, lapack_real, and null.

Referenced by LAP_DoubleFullGeneralMatrix::computeEigenValueDecomposition(), and LAP_DoubleFullGeneralMatrix::computeEigenValues().

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bool DoubleFullMatrixInverse	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	nCols,
		const tLVectorIndex &	ld,
		const lapack_int *	ipiv,
		double *	A
	)

References dgetri(), F77NAME, getBlockSizeEnvironment(), lapack_int, and lapack_real.

Referenced by LAP_DoubleFullGeneralMatrix::inverse().

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int DoubleFullMatrixLUFactorization	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	nCols,
		const tLVectorIndex &	ld,
		double *	A,
		lapack_int *	LU_pivots
	)

References dgetrf(), F77NAME, and lapack_int.

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void DoubleFullMatrixMatrixProduct	(	const tLVectorIndex &	nARows,
		const tLVectorIndex &	nACols,
		const tLVectorIndex &	ldA,
		const double *	A,
		const tLVectorIndex &	nBRows,
		const tLVectorIndex &	nBCols,
		const tLVectorIndex &	ldB,
		const double *	B,
		const tBoolean &	isTrA,
		const tBoolean &	isTrB,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		const tLVectorIndex &	nCRows,
		const tLVectorIndex &	nCCols,
		const tLVectorIndex &	ldC,
		double *	C
	)

References dgemm(), F77NAME, lapack_char, lapack_int, and tLVectorIndex.

Referenced by LAP_DoubleFullGeneralMatrix::matrixProduct().

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int DoubleFullMatrixPQRFactorization	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	nCols,
		const tLVectorIndex &	nMaxRows,
		const tLVectorIndex &	nMaxCols,
		const tLVectorIndex &	ld,
		double *	A,
		const tBoolean &	isOnlyQ
	)

References dgeqp3(), dorgqr(), F77NAME, getBlockSizeEnvironment(), lapack_int, and lapack_real.

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int DoubleFullMatrixQRFactorization	(	const tLVectorIndex &	nRows,
		const tLVectorIndex &	nCols,
		const tLVectorIndex &	nMaxRows,
		const tLVectorIndex &	nMaxCols,
		const tLVectorIndex &	ld,
		double *	A,
		const tBoolean &	isOnlyQ
	)

References dgeqrf(), dorgqr(), F77NAME, getBlockSizeEnvironment(), lapack_int, and lapack_real.

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bool DoubleFullMatrixSolveMatrixEquation	(	const tLVectorIndex &	nARows,
		const tLVectorIndex &	nACols,
		const tLVectorIndex &	nAMaxRows,
		const tLVectorIndex &	nAMaxCols,
		const tLVectorIndex &	ldA,
		const tBoolean &	isTransA,
		const lapack_int *	ipiv,
		const double *	A,
		const tLVectorIndex &	nBRows,
		const tLVectorIndex &	nBCols,
		const tLVectorIndex &	ldB,
		double *	B
	)

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

Referenced by LAP_DoubleFullGeneralMatrix::solve().

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void DoubleFullMatrixVectorProduct	(	const tLVectorIndex &	lx,
		const tLVectorIncrement &	incx,
		const double *	x,
		const tBoolean &	isTransposed,
		const tLVectorIndex &	nRows,
		const tLVectorIndex &	nCols,
		const tLVectorIndex &	ldaA,
		const double *	A,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		const tLVectorIndex &	ly,
		const tLVectorIncrement &	incy,
		double *	y
	)

compute Y=beta.Y + alpha op(A). X where op(A)=A or op(A)=tA

Parameters

lx	size of x
incx	increment of x
x	: values of x
isTransposed	if true op(A)=tA otherwise op(A)=A
nRows	number of rows of A
nCols	number of cols 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
ly	size of y
incy:increment	of y
y	values of y

if (op(A)=A)

• lx=nCols
• x array must contains lx*incx double values
• A array must constains ldA*nCols*nRows double values
• ly=nRows if (opA=tA)
• lx=nRows
• x array must contains lx*incx double values
• A array must constains ldA*nCols*nRows double values
• ly=nCols

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

Referenced by LAP_DoubleFullGeneralMatrix::vectorProduct().

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void DoubleFullUpperMatrixVectorProduct	(	const tBoolean &	isTransA,
		const tLVectorIndex &	nRowsA,
		const tLVectorIndex &	ldA,
		const double *	A,
		const tLVectorIndex &	nX,
		const tLVectorIncrement &	incX,
		double *	x
	)

compute X=op(A). X where op(A)=A or op(A)=tA where A is Upper matrix

Parameters

isTransA	if true op(A)=tA otherwise op(A)=A
nRowsA	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
nX	size of x
incX:increment	of x
x	values of x

Referenced by LAP_DoubleFullUpperMatrix::rankProduct(), and LAP_DoubleFullUpperMatrix::vectorProduct().

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