Matrix class and heart of the matrix library. More...

#include <Matrix.h>

Inheritance diagram for mat::Matrix:

Public Types
typedef Telement	ElementType
typedef Vector< Treal, typename ElementType::VectorType >	VectorType
Public Member Functions
	Matrix ()
void	allocate ()
void	assignFromFull (std::vector< Treal > const &fullMat)
void	fullMatrix (std::vector< Treal > &fullMat) const
void	syFullMatrix (std::vector< Treal > &fullMat) const
void	syUpTriFullMatrix (std::vector< Treal > &fullMat) const
void	assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	assignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes)
void	addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	addValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values, std::vector< int > const &indexes)
void	syAssignFromSparse (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	syAddValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > const &values)
void	getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const
void	getValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &, std::vector< int > const &indexes) const
void	syGetValues (std::vector< int > const &rowind, std::vector< int > const &colind, std::vector< Treal > &values) const
void	getAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &) const
void	syGetAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &) const
Matrix< Treal, Telement > &	operator= (const Matrix< Treal, Telement > &mat)
void	clear ()
	~Matrix ()
void	writeToFile (std::ofstream &file) const
void	readFromFile (std::ifstream &file)
void	random ()
void	syRandom ()
void	randomZeroStructure (Treal probabilityBeingZero)
	Get a random zero structure with a specified probability that each submatrix is zero.
void	syRandomZeroStructure (Treal probabilityBeingZero)
template<typename TRule >
void	setElementsByRule (TRule &rule)
template<typename TRule >
void	sySetElementsByRule (TRule &rule)
template<typename TRule >
void	trSetElementsByRule (TRule &rule)
void	addIdentity (Treal alpha)
void	symToNosym ()
void	nosymToSym ()
Matrix< Treal, Telement > &	operator= (int const k)
Matrix< Treal, Telement > &	operator*= (const Treal alpha)
Treal	frob () const
Treal	frobSquared () const
Treal	syFrob () const
Treal	syFrobSquared () const
Treal	trace () const
void	assign (Treal const alpha, Matrix< Treal, Telement > const &A)
void	getFrobSqLowestLevel (std::vector< Treal > &frobsq) const
void	frobThreshLowestLevel (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix)
void	getFrobSqElementLevel (std::vector< Treal > &frobsq) const
void	frobThreshElementLevel (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix)
void	assignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A)
	Build a matrix with single matrix elements at the lowest level containing the Frobenius norms of the submatrices of A.
void	syAssignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A)
	Version of assignFrobNormsLowestLevelToMatrix for symmetric matrices.
void	assignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A, Matrix< Treal, Matrix< Treal, Telement > > const &B)
	Same as assignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.
void	syAssignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal, Telement > > const &A, Matrix< Treal, Matrix< Treal, Telement > > const &B)
	Same as syAssignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.
void	truncateAccordingToSparsityPattern (Matrix< Treal, Matrix< Treal, Telement > > &A) const
	Truncate matrix A according to the sparsity pattern of the this matrix (frobNormMat).
Treal	frob_thresh (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix=0)
	Removes small elements so that the introduced error is smaller than the threshold in the Frobenius norm Returns the Frobenius norm of the introduced error.
Treal	frob_squared_thresh (Treal const threshold, Matrix< Treal, Telement > *ErrorMatrix=0)
	Removes small elements so that the introduced error is smaller than threshold in the squared Frobenius norm, returns squared frobenius norm of the introduced error added to ErrorMatrix.
void	gersgorin (Treal &lmin, Treal &lmax) const
void	sy_gersgorin (Treal &lmin, Treal &lmax) const
void	add_abs_col_sums (Treal *abscolsums) const
void	get_diagonal (Treal *diag) const
size_t	memory_usage () const
size_t	nnz () const
	Returns number of nonzeros in matrix.
size_t	sy_nnz () const
	Returns number of nonzeros in matrix including lower triangle elements.
size_t	nvalues () const
	Returns number of stored values in matrix.
size_t	sy_nvalues () const
	Returns number of stored values in matrix.
template<typename Top >
Treal	syAccumulateWith (Top &op)
template<typename Top >
Treal	geAccumulateWith (Top &op)
	Accumulation algorithm for general matrices.
Treal	maxAbsValue () const
Static Public Member Functions
static void	transpose (Matrix< Treal, Telement > const &A, Matrix< Treal, Telement > &AT)
static void	gemm (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void	symm (const char side, const char uplo, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void	syrk (const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, const Treal beta, Matrix< Treal, Telement > &C)
static void	sysq (const char uplo, const Treal alpha, const Matrix< Treal, Telement > &A, const Treal beta, Matrix< Treal, Telement > &C)
static void	ssmm (const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void	ssmm_upper_tr_only (const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void	trmm (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B)
static Treal	frobDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal	frobSquaredDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal	syFrobDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal	syFrobSquaredDiff (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal	trace_ab (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal	trace_aTb (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static Treal	sy_trace_ab (const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B)
static void	add (const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B)
static void	gemm_upper_tr_only (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &B, const Treal beta, Matrix< Treal, Telement > &C)
static void	sytr_upper_tr_only (char const side, const Treal alpha, Matrix< Treal, Telement > &A, const Matrix< Treal, Telement > &Z)
static void	trmm_upper_tr_only (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &B)
static void	trsytriplemm (char const side, const Matrix< Treal, Telement > &Z, Matrix< Treal, Telement > &A)
static void	syInch (const Matrix< Treal, Telement > &A, Matrix< Treal, Telement > &Z, const Treal threshold=0, const side looking=left, const inchversion version=unstable)
static unsigned int	level ()
Friends
class	Vector< Treal, Telement >

Detailed Description

Matrix class and heart of the matrix library.

This class is used to obtain the hierarchic data structure.

See also:: MatrixHierarchicBase; Permutation

Member Typedef Documentation

typedef Telement mat::Matrix::ElementType

typedef Vector<Treal, typename ElementType::VectorType> mat::Matrix::VectorType

Constructor & Destructor Documentation

mat::Matrix::Matrix ( ) [inline]

mat::Matrix::~Matrix ( ) [inline]

References clear().

Member Function Documentation

void mat::Matrix::add	(	const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		Matrix< Treal, Telement > &	B
	)		`[static]`

Referenced by assign(), mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel(), and mat::Matrix< Treal >::assign().

void mat::Matrix::add_abs_col_sums ( Treal * abscolsums ) const

Referenced by mat::Matrix< Treal >::gersgorin().

void mat::Matrix::addIdentity ( Treal alpha )

void mat::Matrix::addValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

Referenced by mat::Matrix< Treal >::addValues(), and mat::Matrix< Treal >::syAddValues().

void mat::Matrix::addValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values,
		std::vector< int > const &	indexes
	)

void mat::Matrix::allocate ( ) [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Time::tic(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::SingletonForTimings::instance(), mat::SingletonForTimings::addTime(), mat::Time::toc(), mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::SizesAndBlocks::getNBlocks(), mat::SizesAndBlocks::getSizesAndBlocksForLowerLevel(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

void mat::Matrix::assign	(	Treal const	alpha,
		Matrix< Treal, Telement > const &	A
	)

References add().

void mat::Matrix::assignDiffFrobNormsLowestLevel	(	Matrix< Treal, Matrix< Treal, Telement > > const &	A,
		Matrix< Treal, Matrix< Treal, Telement > > const &	B
	)

Same as assignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.

void mat::Matrix::assignFrobNormsLowestLevel ( Matrix< Treal, Matrix< Treal, Telement > > const & A )

Build a matrix with single matrix elements at the lowest level containing the Frobenius norms of the submatrices of A.

Referenced by mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel().

void mat::Matrix::assignFromFull ( std::vector< Treal > const & fullMat )

void mat::Matrix::assignFromSparse	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

Referenced by mat::Matrix< Treal >::assignFromSparse(), and mat::Matrix< Treal >::syAssignFromSparse().

void mat::Matrix::assignFromSparse	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values,
		std::vector< int > const &	indexes
	)

void mat::Matrix::clear ( )

Referenced by ~Matrix(), mat::Matrix< Treal >::~Matrix(), mat::Matrix< Treal >::assignFrobNormsLowestLevel(), mat::Matrix< Treal >::syAssignFrobNormsLowestLevel(), mat::Matrix< Treal >::assignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel(), mat::Matrix< Treal >::assignFromSparse(), mat::Matrix< Treal >::readFromFile(), mat::Matrix< Treal >::randomZeroStructure(), mat::Matrix< Treal >::syRandomZeroStructure(), and mat::Matrix< Treal >::operator=().

Treal mat::Matrix::frob ( ) const [inline]

References template_blas_sqrt(), and frobSquared().

Referenced by mat::Matrix< Treal >::assignFrobNormsLowestLevel().

Treal mat::Matrix::frob_squared_thresh	(	Treal const	threshold,
		Matrix< Treal, Telement > *	ErrorMatrix = `0`
	)

Removes small elements so that the introduced error is smaller than threshold in the squared Frobenius norm, returns squared frobenius norm of the introduced error added to ErrorMatrix.

References mat::MatrixHierarchicBase< Treal, Telement >::swap().

Referenced by frob_thresh(), and mat::Matrix< Treal >::frob_thresh().

Treal mat::Matrix::frob_thresh	(	Treal const	threshold,
		Matrix< Treal, Telement > *	ErrorMatrix = `0`
	)		`[inline]`

Removes small elements so that the introduced error is smaller than the threshold in the Frobenius norm Returns the Frobenius norm of the introduced error.

References template_blas_sqrt(), and frob_squared_thresh().

static Treal mat::Matrix::frobDiff	(	const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B
	)		`[inline, static]`

References template_blas_sqrt(), and frobSquaredDiff().

Treal mat::Matrix::frobSquared ( ) const

Referenced by frob(), mat::Matrix< Treal >::frob(), and mat::Matrix< Treal >::getFrobSqLowestLevel().

Treal mat::Matrix::frobSquaredDiff	(	const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B
	)		`[static]`

Referenced by frobDiff(), and mat::Matrix< Treal >::frobDiff().

void mat::Matrix::frobThreshElementLevel	(	Treal const	threshold,
		Matrix< Treal, Telement > *	ErrorMatrix
	)

void mat::Matrix::frobThreshLowestLevel	(	Treal const	threshold,
		Matrix< Treal, Telement > *	ErrorMatrix
	)

void mat::Matrix::fullMatrix ( std::vector< Treal > & fullMat ) const

template<typename Top >

Treal mat::Matrix::geAccumulateWith ( Top & op ) [inline]

Accumulation algorithm for general matrices.

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

Referenced by syAccumulateWith().

void mat::Matrix::gemm	(	const bool	tA,
		const bool	tB,
		const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B,
		const Treal	beta,
		Matrix< Treal, Telement > &	C
	)		`[static]`

References MAT_OMP_INIT, MAT_OMP_START, mat::gemm(), MAT_OMP_END, and MAT_OMP_FINALIZE.

Referenced by mat::Matrix< Treal >::gemm_upper_tr_only().

void mat::Matrix::gemm_upper_tr_only	(	const bool	tA,
		const bool	tB,
		const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B,
		const Treal	beta,
		Matrix< Treal, Telement > &	C
	)		`[static]`

References mat::gemm().

void mat::Matrix::gersgorin	(	Treal &	lmin,
		Treal &	lmax
	)		const

References template_blas_fabs().

void mat::Matrix::get_diagonal ( Treal * diag ) const

Referenced by mat::Matrix< Treal >::gersgorin().

void mat::Matrix::getAllValues	(	std::vector< int > &	rowind,
		std::vector< int > &	colind,
		std::vector< Treal > &	values
	)		const

void mat::Matrix::getFrobSqElementLevel ( std::vector< Treal > & frobsq ) const

void mat::Matrix::getFrobSqLowestLevel ( std::vector< Treal > & frobsq ) const

void mat::Matrix::getValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > &	values
	)		const

Referenced by mat::Matrix< Treal >::getValues(), and mat::Matrix< Treal >::syGetValues().

void mat::Matrix::getValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > &	values,
		std::vector< int > const &	indexes
	)		const

static unsigned int mat::Matrix::level ( ) [inline, static]

Treal mat::Matrix::maxAbsValue ( ) const [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::elements.

size_t mat::Matrix::memory_usage ( ) const

size_t mat::Matrix::nnz ( ) const

Returns number of nonzeros in matrix.

Referenced by nvalues(), and mat::Matrix< Treal >::nvalues().

void mat::Matrix::nosymToSym ( )

size_t mat::Matrix::nvalues ( ) const [inline]

Returns number of stored values in matrix.

Returns same number as nnz()

References nnz().

Matrix< Treal, Telement > & mat::Matrix::operator*= ( const Treal alpha )

Matrix<Treal, Telement>& mat::Matrix::operator= ( const Matrix< Treal, Telement > & mat ) [inline]

Referenced by mat::Matrix< Treal >::operator=().

Matrix< Treal, Telement > & mat::Matrix::operator= ( int const k )

void mat::Matrix::random ( )

Referenced by mat::Matrix< Treal >::randomZeroStructure().

void mat::Matrix::randomZeroStructure ( Treal probabilityBeingZero )

Get a random zero structure with a specified probability that each submatrix is zero.

void mat::Matrix::readFromFile ( std::ifstream & file )

template<typename TRule >

void mat::Matrix::setElementsByRule ( TRule & rule )

void mat::Matrix::ssmm	(	const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B,
		const Treal	beta,
		Matrix< Treal, Telement > &	C
	)		`[static]`

References MAT_OMP_INIT, MAT_OMP_START, mat::gemm(), mat::symm(), mat::transpose(), MAT_OMP_END, and MAT_OMP_FINALIZE.

Referenced by mat::Matrix< Treal >::ssmm_upper_tr_only().

void mat::Matrix::ssmm_upper_tr_only	(	const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B,
		const Treal	beta,
		Matrix< Treal, Telement > &	C
	)		`[static]`

References MAT_OMP_INIT, MAT_OMP_START, mat::symm(), mat::gemm(), MAT_OMP_END, and MAT_OMP_FINALIZE.

void mat::Matrix::sy_gersgorin	(	Treal &	lmin,
		Treal &	lmax
	)		const `[inline]`

size_t mat::Matrix::sy_nnz ( ) const

Returns number of nonzeros in matrix including lower triangle elements.

size_t mat::Matrix::sy_nvalues ( ) const

Returns number of stored values in matrix.

Lower triangle is not included. Lower triangle in diagonal submatrices is not included as well. Different from sy_nnz().

Treal mat::Matrix::sy_trace_ab	(	const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B
	)		`[static]`

template<typename Top >

Treal mat::Matrix::syAccumulateWith ( Top & op ) [inline]

References mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and geAccumulateWith().

void mat::Matrix::syAddValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

void mat::Matrix::syAssignDiffFrobNormsLowestLevel	(	Matrix< Treal, Matrix< Treal, Telement > > const &	A,
		Matrix< Treal, Matrix< Treal, Telement > > const &	B
	)

Same as syAssignFrobNormsLowestLevel except that the Frobenius norms of the differences between submatrices of A and B are assigned.

void mat::Matrix::syAssignFrobNormsLowestLevel ( Matrix< Treal, Matrix< Treal, Telement > > const & A )

Version of assignFrobNormsLowestLevelToMatrix for symmetric matrices.

Referenced by mat::Matrix< Treal >::syAssignDiffFrobNormsLowestLevel().

void mat::Matrix::syAssignFromSparse	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > const &	values
	)

Treal mat::Matrix::syFrob ( ) const [inline]

References template_blas_sqrt(), and syFrobSquared().

static Treal mat::Matrix::syFrobDiff	(	const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B
	)		`[inline, static]`

References template_blas_sqrt(), and syFrobSquaredDiff().

Treal mat::Matrix::syFrobSquared ( ) const

Referenced by syFrob(), and mat::Matrix< Treal >::syFrob().

Treal mat::Matrix::syFrobSquaredDiff	(	const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B
	)		`[static]`

Referenced by syFrobDiff(), and mat::Matrix< Treal >::syFrobDiff().

void mat::Matrix::syFullMatrix ( std::vector< Treal > & fullMat ) const

void mat::Matrix::syGetAllValues	(	std::vector< int > &	rowind,
		std::vector< int > &	colind,
		std::vector< Treal > &	values
	)		const

void mat::Matrix::syGetValues	(	std::vector< int > const &	rowind,
		std::vector< int > const &	colind,
		std::vector< Treal > &	values
	)		const

void mat::Matrix::syInch	(	const Matrix< Treal, Telement > &	A,
		Matrix< Treal, Telement > &	Z,
		const Treal	threshold = `0`,
		const side	looking = `left`,
		const inchversion	version = `unstable`
	)		`[static]`

References mat::stable, mat::left, mat::gemm(), mat::trmm(), and mat::right.

void mat::Matrix::symm	(	const char	side,
		const char	uplo,
		const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B,
		const Treal	beta,
		Matrix< Treal, Telement > &	C
	)		`[static]`

References MAT_OMP_INIT, MAT_OMP_START, mat::symm(), mat::gemm(), MAT_OMP_END, and MAT_OMP_FINALIZE.

Referenced by mat::Matrix< Treal >::ssmm().

void mat::Matrix::symToNosym ( )

References mat::transpose().

void mat::Matrix::syRandom ( )

Referenced by mat::Matrix< Treal >::syRandomZeroStructure().

void mat::Matrix::syRandomZeroStructure ( Treal probabilityBeingZero )

void mat::Matrix::syrk	(	const char	uplo,
		const bool	tA,
		const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		const Treal	beta,
		Matrix< Treal, Telement > &	C
	)		`[static]`

References MAT_OMP_INIT, MAT_OMP_START, mat::syrk(), MAT_OMP_END, mat::gemm(), and MAT_OMP_FINALIZE.

Referenced by mat::Matrix< Treal >::syrk(), and mat::Matrix< Treal >::sysq().

template<typename TRule >

void mat::Matrix::sySetElementsByRule ( TRule & rule )

Referenced by trSetElementsByRule().

void mat::Matrix::sysq	(	const char	uplo,
		const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		const Treal	beta,
		Matrix< Treal, Telement > &	C
	)		`[static]`

References MAT_OMP_INIT, MAT_OMP_START, mat::syrk(), MAT_OMP_END, mat::symm(), mat::gemm(), and MAT_OMP_FINALIZE.

void mat::Matrix::sytr_upper_tr_only	(	char const	side,
		const Treal	alpha,
		Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	Z
	)		`[static]`

References mat::trmm(), mat::symm(), and mat::gemm().

Referenced by trsytriplemm(), and mat::Matrix< Treal >::trsytriplemm().

void mat::Matrix::syUpTriFullMatrix ( std::vector< Treal > & fullMat ) const

Treal mat::Matrix::trace ( ) const

References mat::trace().

Treal mat::Matrix::trace_ab	(	const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B
	)		`[static]`

Treal mat::Matrix::trace_aTb	(	const Matrix< Treal, Telement > &	A,
		const Matrix< Treal, Telement > &	B
	)		`[static]`

void mat::Matrix::transpose	(	Matrix< Treal, Telement > const &	A,
		Matrix< Treal, Telement > &	AT
	)		`[static]`

References mat::transpose().

void mat::Matrix::trmm	(	const char	side,
		const char	uplo,
		const bool	tA,
		const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		Matrix< Treal, Telement > &	B
	)		`[static]`

References mat::trmm(), and mat::gemm().

Referenced by mat::Matrix< Treal >::trmm(), mat::Matrix< Treal >::sytr_upper_tr_only(), and mat::Matrix< Treal >::trmm_upper_tr_only().

void mat::Matrix::trmm_upper_tr_only	(	const char	side,
		const char	uplo,
		const bool	tA,
		const Treal	alpha,
		const Matrix< Treal, Telement > &	A,
		Matrix< Treal, Telement > &	B
	)		`[static]`