mat::Matrix< Treal > Class Template Reference

#include <Matrix.h>

Inheritance diagram for mat::Matrix< Treal >:

Public Types
typedef Vector< Treal, Treal >	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 > &values, 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 > &values) const
void	syGetAllValues (std::vector< int > &rowind, std::vector< int > &colind, std::vector< Treal > &values) const
Matrix< Treal > &	operator= (const Matrix< Treal > &mat)
void	clear ()
	Set matrix to zero and delete all arrays.
	~Matrix ()
void	writeToFile (std::ofstream &file) const
void	readFromFile (std::ifstream &file)
void	random ()
void	syRandom ()
void	randomZeroStructure (Treal probabilityBeingZero)
void	syRandomZeroStructure (Treal probabilityBeingZero)
template<typename TRule >
void	setElementsByRule (TRule &rule)
template<typename TRule >
void	sySetElementsByRule (TRule &rule)
void	addIdentity (Treal alpha)
void	symToNosym ()
void	nosymToSym ()
Matrix< Treal > &	operator= (int const k)
Matrix< Treal > &	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 > const &A)
void	getFrobSqLowestLevel (std::vector< Treal > &frobsq) const
void	frobThreshLowestLevel (Treal const threshold, Matrix< Treal > *ErrorMatrix)
void	getFrobSqElementLevel (std::vector< Treal > &frobsq) const
void	frobThreshElementLevel (Treal const threshold, Matrix< Treal > *ErrorMatrix)
void	assignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A)
void	syAssignFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A)
void	assignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A, Matrix< Treal, Matrix< Treal > > const &B)
void	syAssignDiffFrobNormsLowestLevel (Matrix< Treal, Matrix< Treal > > const &A, Matrix< Treal, Matrix< Treal > > const &B)
void	truncateAccordingToSparsityPattern (Matrix< Treal, Matrix< Treal > > &A) const
Treal	frob_thresh (Treal const threshold, Matrix< Treal > *ErrorMatrix=0)
Treal	frob_squared_thresh (Treal const threshold, Matrix< Treal > *ErrorMatrix=0)
void	gershgorin (Treal &lmin, Treal &lmax) const
void	sy_gershgorin (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<class Top >
Treal	syAccumulateWith (Top &op)
template<class Top >
Treal	geAccumulateWith (Top &op)
Treal	maxAbsValue () const
Public Member Functions inherited from mat::MatrixHierarchicBase< Treal, Telement >
bool	operator== (int k) const
const int &	nScalarsRows () const
const int &	nScalarsCols () const
const int &	nrows () const
const int &	ncols () const
Telement &	operator ()(int row
	assert (row >=0)
	assert (col >=0)
	assert (row< nrows())
	assert (col< ncols())
const Telement &	operator ()(int row
	assert (row >=0)
	assert (col >=0)
	assert (row< nrows())
	assert (col< ncols())
Telement &	operator[] (int index)
Telement const &	operator[] (int index) const
bool	is_zero () const
int	nElements () const
void	resetRows (SizesAndBlocks const &newRows)
void	resetCols (SizesAndBlocks const &newCols)
void	getRows (SizesAndBlocks &rowsCopy) const
void	getCols (SizesAndBlocks &colsCopy) const
bool	highestLevel () const
bool	is_empty () const
	Check if matrix is empty Empty is different from zero, a zero matrix contains information about blocksizes etc.

Static Public Member Functions
static void	transpose (Matrix< Treal > const &A, Matrix< Treal > &AT)
static void	gemm (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	symm (const char side, const char uplo, const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	syrk (const char uplo, const bool tA, const Treal alpha, const Matrix< Treal > &A, const Treal beta, Matrix< Treal > &C)
static void	sysq (const char uplo, const Treal alpha, const Matrix< Treal > &A, const Treal beta, Matrix< Treal > &C)
static void	ssmm (const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	ssmm_upper_tr_only (const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	trmm (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal > &A, Matrix< Treal > &B)
static Treal	frobDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	frobSquaredDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	syFrobDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	syFrobSquaredDiff (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	trace_ab (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	trace_aTb (const Matrix< Treal > &A, const Matrix< Treal > &B)
static Treal	sy_trace_ab (const Matrix< Treal > &A, const Matrix< Treal > &B)
static void	add (const Treal alpha, const Matrix< Treal > &A, Matrix< Treal > &B)
static void	gemm_upper_tr_only (const bool tA, const bool tB, const Treal alpha, const Matrix< Treal > &A, const Matrix< Treal > &B, const Treal beta, Matrix< Treal > &C)
static void	sytr_upper_tr_only (char const side, const Treal alpha, Matrix< Treal > &A, const Matrix< Treal > &Z)
static void	trmm_upper_tr_only (const char side, const char uplo, const bool tA, const Treal alpha, const Matrix< Treal > &A, Matrix< Treal > &B)
static void	trsytriplemm (char const side, const Matrix< Treal > &Z, Matrix< Treal > &A)
static void	inch (const Matrix< Treal > &A, Matrix< Treal > &Z, const Treal threshold=0, const side looking=left, const inchversion version=unstable)
static void	syInch (const Matrix< Treal > &A, Matrix< Treal > &Z, const Treal threshold=0, const side looking=left, const inchversion version=unstable)
static unsigned int	level ()

Static Private Attributes
static const Treal	ZERO = 0
static const Treal	ONE = 1

Friends
class	Vector< Treal, Treal >

Additional Inherited Members
Public Attributes inherited from mat::MatrixHierarchicBase< Treal, Telement >
Telement int	col
return	elements [row+col *nrows()]
const Telement int col	const
Protected Member Functions inherited from mat::MatrixHierarchicBase< Treal, Telement >
	MatrixHierarchicBase ()
	MatrixHierarchicBase (SizesAndBlocks const &rowsInp, SizesAndBlocks const &colsInp)
	MatrixHierarchicBase (const MatrixHierarchicBase< Treal, Telement > &mat)
MatrixHierarchicBase< Treal, Telement > &	operator= (const MatrixHierarchicBase< Treal, Telement > &mat)
virtual	~MatrixHierarchicBase ()
Static Protected Member Functions inherited from mat::MatrixHierarchicBase< Treal, Telement >
static void	swap (MatrixHierarchicBase< Treal, Telement > &A, MatrixHierarchicBase< Treal, Telement > &B)
Protected Attributes inherited from mat::MatrixHierarchicBase< Treal, Telement >
SizesAndBlocks	rows
SizesAndBlocks	cols
Telement *	elements

Member Typedef Documentation

VectorType

template<class Treal >

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

Constructor & Destructor Documentation

Matrix()

template<class Treal >

mat::Matrix< Treal >::Matrix ( )

inline

~Matrix()

template<class Treal >

mat::Matrix< Treal >::~Matrix ( )

inline

References mat::Matrix< Treal, Telement >::clear().

Member Function Documentation

add()

template<class Treal >

void mat::Matrix< Treal >::add ( const Treal alpha, const Matrix< Treal > & A, Matrix< Treal > & B )

static

References A, B, and mat::getMachineEpsilon().

add_abs_col_sums()

template<class Treal >

void mat::Matrix< Treal >::add_abs_col_sums

(

Treal *

abscolsums

)

const

References mat::getMachineEpsilon(), and template_blas_fabs().

addIdentity()

template<class Treal >

void mat::Matrix< Treal >::addIdentity

(

Treal

alpha

)

References mat::getMachineEpsilon().

addValues() [1/2]

template<class Treal >

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

References mat::getMachineEpsilon().

addValues() [2/2]

template<class Treal >

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

References cols, mat::getMachineEpsilon(), rows, and mat::SizesAndBlocks::whichBlock().

allocate()

template<class Treal >

void mat::Matrix< Treal >::allocate ( )

inline

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::nElements().

assign()

template<class Treal >

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

References A, and mat::Matrix< Treal, Telement >::add().

assignDiffFrobNormsLowestLevel()

template<class Treal >

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

inline

References A, mat::Matrix< Treal, Telement >::add(), mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::assignFrobNormsLowestLevel(), B, mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::Matrix< Treal, Telement >::frob(), mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::nElements().

assignFrobNormsLowestLevel()

template<class Treal >

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

inline

References A, mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::Matrix< Treal, Telement >::frob(), mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::nElements().

assignFromFull()

template<class Treal >

void mat::Matrix< Treal >::assignFromFull

(

std::vector< Treal > const &

fullMat

)

References cols, mat::getMachineEpsilon(), mat::SizesAndBlocks::getNTotalScalars(), mat::SizesAndBlocks::getOffset(), and rows.

assignFromSparse() [1/2]

template<class Treal >

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

References mat::getMachineEpsilon().

assignFromSparse() [2/2]

template<class Treal >

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

References cols, mat::getMachineEpsilon(), rows, and mat::SizesAndBlocks::whichBlock().

clear()

template<class Treal >

void mat::Matrix< Treal >::clear

(

)

Set matrix to zero and delete all arrays.

References mat::freeElements().

frob()

template<class Treal >

Treal mat::Matrix< Treal >::frob ( ) const

inline

References mat::Matrix< Treal, Telement >::frobSquared(), and template_blas_sqrt().

frob_squared_thresh()

template<class Treal >

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

References cols, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::resetCols(), mat::MatrixHierarchicBase< Treal, Telement >::resetRows(), rows, and mat::MatrixHierarchicBase< Treal, Telement >::swap().

frob_thresh()

template<class Treal >

Treal mat::Matrix< Treal >::frob_thresh ( Treal const threshold, Matrix< Treal > * ErrorMatrix = 0 )

inline

References mat::Matrix< Treal, Telement >::frob_squared_thresh(), and template_blas_sqrt().

frobDiff()

template<class Treal >

static Treal mat::Matrix< Treal >::frobDiff ( const Matrix< Treal > & A, const Matrix< Treal > & B )

inlinestatic

References A, B, mat::Matrix< Treal, Telement >::frobSquaredDiff(), and template_blas_sqrt().

frobSquared()

template<class Treal >

Treal mat::Matrix< Treal >::frobSquared

(

)

const

References mat::getMachineEpsilon().

frobSquaredDiff()

template<class Treal >

Treal mat::Matrix< Treal >::frobSquaredDiff ( const Matrix< Treal > & A, const Matrix< Treal > & B )

static

References A, B, and mat::getMachineEpsilon().

frobThreshElementLevel()

template<class Treal >

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

References mat::Matrix< Treal, Telement >::allocate(), mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), and mat::MatrixHierarchicBase< Treal, Telement >::is_zero().

frobThreshLowestLevel()

template<class Treal >

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

References mat::Matrix< Treal, Telement >::frobSquared(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::swap().

fullMatrix()

template<class Treal >

void mat::Matrix< Treal >::fullMatrix

(

std::vector< Treal > &

fullMat

)

const

References cols, mat::getMachineEpsilon(), mat::SizesAndBlocks::getNTotalScalars(), mat::SizesAndBlocks::getOffset(), and rows.

geAccumulateWith()

template<class Treal >

template<class Top >

Treal mat::Matrix< Treal >::geAccumulateWith ( Top & op )

inline

References mat::MatrixHierarchicBase< Treal, Telement >::col, mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::getMachineEpsilon(), mat::SizesAndBlocks::getOffset(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

gemm()

template<class Treal >

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

static

References A, mat::Matrix< Treal, Telement >::allocate(), B, mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::gemm(), mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::resetCols(), and mat::MatrixHierarchicBase< Treal, Telement >::resetRows().

gemm_upper_tr_only()

template<class Treal >

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

static

References A, B, mat::Matrix< Treal, Telement >::gemm(), and mat::Matrix< Treal, Telement >::nosymToSym().

gershgorin()

template<class Treal >

void mat::Matrix< Treal >::gershgorin	(	Treal &	lmin,
		Treal &	lmax ) const

References mat::getMachineEpsilon(), and template_blas_fabs().

get_diagonal()

template<class Treal >

void mat::Matrix< Treal >::get_diagonal

(

Treal *

diag

)

const

References mat::getMachineEpsilon().

getAllValues()

template<class Treal >

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

References cols, mat::SizesAndBlocks::getOffset(), and rows.

getFrobSqElementLevel()

template<class Treal >

void mat::Matrix< Treal >::getFrobSqElementLevel

(

std::vector< Treal > &

frobsq

)

const

References mat::getMachineEpsilon().

getFrobSqLowestLevel()

template<class Treal >

void mat::Matrix< Treal >::getFrobSqLowestLevel

(

std::vector< Treal > &

frobsq

)

const

References mat::getMachineEpsilon().

getValues() [1/2]

template<class Treal >

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

References mat::getMachineEpsilon().

getValues() [2/2]

template<class Treal >

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

References cols, mat::getMachineEpsilon(), rows, and mat::SizesAndBlocks::whichBlock().

inch()

template<class Treal >

void mat::Matrix< Treal >::inch ( const Matrix< Treal > & A, Matrix< Treal > & Z, const Treal threshold = 0, const side looking = left, const inchversion version = unstable )

static

References A, mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::potrf(), mat::trifulltofull(), and mat::trtri().

level()

template<class Treal >

static unsigned int mat::Matrix< Treal >::level ( )

inlinestatic

maxAbsValue()

template<class Treal >

Treal mat::Matrix< Treal >::maxAbsValue ( ) const

inline

References mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::nElements(), and template_blas_fabs().

memory_usage()

template<class Treal >

size_t mat::Matrix< Treal >::memory_usage ( ) const

inline

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::nElements().

nnz()

template<class Treal >

size_t mat::Matrix< Treal >::nnz ( ) const

inline

Returns number of nonzeros in matrix.

References mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::nElements().

nosymToSym()

template<class Treal >

void mat::Matrix< Treal >::nosymToSym

(

)

nvalues()

template<class Treal >

size_t mat::Matrix< Treal >::nvalues ( ) const

inline

Returns number of stored values in matrix.

Returns same number as nnz()

References mat::Matrix< Treal, Telement >::nnz().

operator*=()

template<class Treal >

Matrix< Treal > & mat::Matrix< Treal >::operator*=

(

const Treal

alpha

)

References mat::getMachineEpsilon().

operator=() [1/2]

template<class Treal >

Matrix< Treal > & mat::Matrix< Treal >::operator= ( const Matrix< Treal > & mat )

inline

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

operator=() [2/2]

template<class Treal >

Matrix< Treal > & mat::Matrix< Treal >::operator=

(

int const

k

)

References mat::getMachineEpsilon().

random()

template<class Treal >

void mat::Matrix< Treal >::random

(

)

References mat::getMachineEpsilon().

randomZeroStructure()

template<class Treal >

void mat::Matrix< Treal >::randomZeroStructure

(

Treal

probabilityBeingZero

)

References mat::getMachineEpsilon().

readFromFile()

template<class Treal >

void mat::Matrix< Treal >::readFromFile

(

std::ifstream &

file

)

References mat::getMachineEpsilon().

setElementsByRule()

template<class Treal >

template<typename TRule >

void mat::Matrix< Treal >::setElementsByRule

(

TRule &

rule

)

References cols, mat::getMachineEpsilon(), and mat::SizesAndBlocks::getOffset().

ssmm()

template<class Treal >

void mat::Matrix< Treal >::ssmm ( const Treal alpha, const Matrix< Treal > & A, const Matrix< Treal > & B, const Treal beta, Matrix< Treal > & C )

static

References A, B, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::resetCols(), mat::MatrixHierarchicBase< Treal, Telement >::resetRows(), mat::Matrix< Treal, Telement >::symm(), and mat::Matrix< Treal, Telement >::symToNosym().

ssmm_upper_tr_only()

template<class Treal >

void mat::Matrix< Treal >::ssmm_upper_tr_only ( const Treal alpha, const Matrix< Treal > & A, const Matrix< Treal > & B, const Treal beta, Matrix< Treal > & C )

static

References A, B, and mat::Matrix< Treal, Telement >::nosymToSym().

sy_gershgorin()

template<class Treal >

void mat::Matrix< Treal >::sy_gershgorin ( Treal & lmin, Treal & lmax ) const

inline

References mat::getMachineEpsilon(), and mat::Matrix< Treal, Telement >::symToNosym().

sy_nnz()

template<class Treal >

size_t mat::Matrix< Treal >::sy_nnz ( ) const

inline

Returns number of nonzeros in matrix including lower triangle elements.

References mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::nElements().

sy_nvalues()

template<class Treal >

size_t mat::Matrix< Treal >::sy_nvalues ( ) const

inline

Returns number of stored values in matrix.

Lower triangle is not included. Different from sy_nnz().

References mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::nScalarsCols(), and mat::MatrixHierarchicBase< Treal, Telement >::nScalarsRows().

sy_trace_ab()

template<class Treal >

Treal mat::Matrix< Treal >::sy_trace_ab ( const Matrix< Treal > & A, const Matrix< Treal > & B )

static

References A, B, and mat::getMachineEpsilon().

syAccumulateWith()

template<class Treal >

template<class Top >

Treal mat::Matrix< Treal >::syAccumulateWith ( Top & op )

inline

References mat::MatrixHierarchicBase< Treal, Telement >::col, mat::MatrixHierarchicBase< Treal, Telement >::cols, mat::getMachineEpsilon(), mat::SizesAndBlocks::getOffset(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), and mat::MatrixHierarchicBase< Treal, Telement >::rows.

syAddValues()

template<class Treal >

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

References mat::getMachineEpsilon().

syAssignDiffFrobNormsLowestLevel()

template<class Treal >

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

inline

References A, mat::Matrix< Treal, Telement >::add(), mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), B, mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::col, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nElements(), and mat::Matrix< Treal, Telement >::syAssignFrobNormsLowestLevel().

syAssignFrobNormsLowestLevel()

template<class Treal >

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

inline

References A, mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::Matrix< Treal, Telement >::clear(), mat::MatrixHierarchicBase< Treal, Telement >::col, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nElements(), and mat::MatrixHierarchicBase< Treal, Telement >::nrows().

syAssignFromSparse()

template<class Treal >

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

References mat::getMachineEpsilon().

syFrob()

template<class Treal >

Treal mat::Matrix< Treal >::syFrob ( ) const

inline

References mat::Matrix< Treal, Telement >::syFrobSquared(), and template_blas_sqrt().

syFrobDiff()

template<class Treal >

static Treal mat::Matrix< Treal >::syFrobDiff ( const Matrix< Treal > & A, const Matrix< Treal > & B )

inlinestatic

References A, B, mat::Matrix< Treal, Telement >::syFrobSquaredDiff(), and template_blas_sqrt().

syFrobSquared()

template<class Treal >

Treal mat::Matrix< Treal >::syFrobSquared

(

)

const

References mat::getMachineEpsilon().

syFrobSquaredDiff()

template<class Treal >

Treal mat::Matrix< Treal >::syFrobSquaredDiff ( const Matrix< Treal > & A, const Matrix< Treal > & B )

static

References A, B, and mat::getMachineEpsilon().

syFullMatrix()

template<class Treal >

void mat::Matrix< Treal >::syFullMatrix

(

std::vector< Treal > &

fullMat

)

const

References cols, mat::getMachineEpsilon(), mat::SizesAndBlocks::getNTotalScalars(), mat::SizesAndBlocks::getOffset(), and rows.

syGetAllValues()

template<class Treal >

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

References cols, mat::SizesAndBlocks::getOffset(), and rows.

syGetValues()

template<class Treal >

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

References mat::getMachineEpsilon().

syInch()

template<class Treal >

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

inlinestatic

References A, and mat::getMachineEpsilon().

symm()

template<class Treal >

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

static

References A, mat::Matrix< Treal, Telement >::allocate(), B, mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::resetCols(), mat::MatrixHierarchicBase< Treal, Telement >::resetRows(), and mat::symm().

symToNosym()

template<class Treal >

void mat::Matrix< Treal >::symToNosym

(

)

syRandom()

template<class Treal >

void mat::Matrix< Treal >::syRandom

(

)

References mat::getMachineEpsilon().

syRandomZeroStructure()

template<class Treal >

void mat::Matrix< Treal >::syRandomZeroStructure

(

Treal

probabilityBeingZero

)

References mat::getMachineEpsilon().

syrk()

template<class Treal >

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

static

References A, mat::Matrix< Treal, Telement >::allocate(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), mat::MatrixHierarchicBase< Treal, Telement >::ncols(), mat::MatrixHierarchicBase< Treal, Telement >::nrows(), mat::MatrixHierarchicBase< Treal, Telement >::resetCols(), mat::MatrixHierarchicBase< Treal, Telement >::resetRows(), and mat::syrk().

sySetElementsByRule()

template<class Treal >

template<typename TRule >

void mat::Matrix< Treal >::sySetElementsByRule

(

TRule &

rule

)

References cols, mat::getMachineEpsilon(), and mat::SizesAndBlocks::getOffset().

sysq()

template<class Treal >

void mat::Matrix< Treal >::sysq ( const char uplo, const Treal alpha, const Matrix< Treal > & A, const Treal beta, Matrix< Treal > & C )

static

References A, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_empty(), mat::MatrixHierarchicBase< Treal, Telement >::resetCols(), mat::MatrixHierarchicBase< Treal, Telement >::resetRows(), mat::Matrix< Treal, Telement >::symToNosym(), and mat::Matrix< Treal, Telement >::syrk().

sytr_upper_tr_only()

template<class Treal >

void mat::Matrix< Treal >::sytr_upper_tr_only ( char const side, const Treal alpha, Matrix< Treal > & A, const Matrix< Treal > & Z )

static

References A, and mat::Matrix< Treal, Telement >::trmm().

syUpTriFullMatrix()

template<class Treal >

void mat::Matrix< Treal >::syUpTriFullMatrix

(

std::vector< Treal > &

fullMat

)

const

References cols, mat::getMachineEpsilon(), mat::SizesAndBlocks::getNTotalScalars(), mat::SizesAndBlocks::getOffset(), and rows.

trace()

template<class Treal >

Treal mat::Matrix< Treal >::trace

(

)

const

References mat::getMachineEpsilon().

trace_ab()

template<class Treal >

Treal mat::Matrix< Treal >::trace_ab ( const Matrix< Treal > & A, const Matrix< Treal > & B )

static

References A, B, and mat::getMachineEpsilon().

trace_aTb()

template<class Treal >

Treal mat::Matrix< Treal >::trace_aTb ( const Matrix< Treal > & A, const Matrix< Treal > & B )

static

References A, B, and mat::getMachineEpsilon().

transpose()

template<class Treal >

void mat::Matrix< Treal >::transpose ( Matrix< Treal > const & A, Matrix< Treal > & AT )

static

References A, mat::freeElements(), and mat::getMachineEpsilon().

trmm()

template<class Treal >

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

static

References A, B, mat::getMachineEpsilon(), and mat::trmm().

trmm_upper_tr_only()

template<class Treal >

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

static

References A, B, mat::getMachineEpsilon(), and mat::Matrix< Treal, Telement >::trmm().

trsytriplemm()

template<class Treal >

void mat::Matrix< Treal >::trsytriplemm ( char const side, const Matrix< Treal > & Z, Matrix< Treal > & A )

static

References A, mat::Matrix< Treal, Telement >::sytr_upper_tr_only(), and mat::Matrix< Treal, Telement >::trmm_upper_tr_only().

truncateAccordingToSparsityPattern()

template<class Treal >

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

inline

References A, mat::MatrixHierarchicBase< Treal, Telement >::assert(), mat::MatrixHierarchicBase< Treal, Telement >::elements, mat::getMachineEpsilon(), mat::MatrixHierarchicBase< Treal, Telement >::is_zero(), and mat::MatrixHierarchicBase< Treal, Telement >::nElements().

writeToFile()

template<class Treal >

void mat::Matrix< Treal >::writeToFile

(

std::ofstream &

file

)

const

References mat::getMachineEpsilon().

Friends And Related Symbol Documentation

Vector< Treal, Treal >

template<class Treal >

friend class Vector< Treal, Treal >

friend

Member Data Documentation

ONE

template<class Treal >

const Treal mat::Matrix< Treal >::ONE = 1

staticprivate

ZERO

template<class Treal >

const Treal mat::Matrix< Treal >::ZERO = 0

staticprivate

---

The documentation for this class was generated from the following file:

• source/matrix/Matrix.h