this class describes a full symmetric matrix for lapack used More...

#include <LAP_DoubleFullSymmetricMatrix.h>

Inheritance diagram for LAP_DoubleFullSymmetricMatrix:

Collaboration diagram for LAP_DoubleFullSymmetricMatrix:

Public Member Functions
	LAP_DoubleFullSymmetricMatrix ()
	build a matrix More...

	LAP_DoubleFullSymmetricMatrix (const LAP_DoubleFullSymmetricMatrix &mat)
	build a matrix for equality operator in construction More...

virtual	~LAP_DoubleFullSymmetricMatrix ()
	destroy a matrix More...

virtual SP::LAP_DoubleMatrix	NewInstance () const
	create a New instance of this More...

virtual double &	operator() (const tLVectorIndex &i, const tLVectorIndex &j)
	accessor of element at row i and column j taking into account the view only use the upper diagonal More...

virtual const double &	operator() (const tLVectorIndex &i, const tLVectorIndex &j) const
	accessor of element at row i and column j taking into account the view only use the upper diagonal More...

LAP_DoubleFullSymmetricMatrix &	operator= (const double &s)
	init all the matrix to s More...

LAP_DoubleFullSymmetricMatrix &	operator= (const LAP_DoubleFullSymmetricMatrix &s)
	init all the matrix to s More...

LAP_DoubleFullSymmetricMatrix &	operator^= (const lapack_real &s)
	power by s the matrix v More...

LAP_DoubleFullSymmetricMatrix &	operator*= (const lapack_real &s)
	multiply by s the matrix More...

LAP_DoubleFullSymmetricMatrix &	operator/= (const lapack_real &s)
	divide by s the matrix v More...

LAP_DoubleFullSymmetricMatrix &	operator+= (const lapack_real &s)
	add s to the upper matrix More...

LAP_DoubleFullSymmetricMatrix &	operator-= (const lapack_real &s)
	sub s to the upper matrix More...

LAP_DoubleFullSymmetricMatrix &	operator*= (const LAP_DoubleFullSymmetricMatrix &s)
	multiply the viewed matrices term by term More...

LAP_DoubleFullSymmetricMatrix &	operator/= (const LAP_DoubleFullSymmetricMatrix &s)
	divide the viewed matrices term by term More...

LAP_DoubleFullSymmetricMatrix &	operator-= (const LAP_DoubleFullSymmetricMatrix &s)
	sub the viewed matrix More...

LAP_DoubleFullSymmetricMatrix &	operator+= (const LAP_DoubleFullSymmetricMatrix &s)
	add the viewed matrix More...

LAP_DoubleFullSymmetricMatrix &	operator*= (const LAP_DoublePackedSymmetricMatrix &s)
	multiply the viewed matrices term by term More...

LAP_DoubleFullSymmetricMatrix &	operator/= (const LAP_DoublePackedSymmetricMatrix &s)
	divide the viewed matrices term by term More...

LAP_DoubleFullSymmetricMatrix &	operator-= (const LAP_DoublePackedSymmetricMatrix &s)
	sub the viewed matrix More...

LAP_DoubleFullSymmetricMatrix &	operator+= (const LAP_DoublePackedSymmetricMatrix &s)
	add the viewed matrix More...

void	copyUpperToLowerSubMatrix ()
	copy the upper part to the lower part of the matrix More...

virtual void	setSize (const tLVectorIndex &n, const tLVectorIndex &p)
	set the dimension of the matrix and allocate the values array More...

virtual void	setSize (const tLVectorIndex &n)
	set the dimension of the matrix and alocate the values array More...

virtual void	setValues (SP::LAP_DoubleVector v)
	set the values of the matrix to V without allocation the values array More...

virtual void	setValues (const tLVectorIndex &n, const double *values)
	set the values More...

LAP_DoubleFullStorage &	getFullStorage ()
	GET. More...

const LAP_DoubleFullStorage &	getFullStorage () const
	get the full storage More...

tLVectorIndex	getRowIncrement () const
	get the memory distance between (this)(i,j) & (this)(i+1,j) More...

tLVectorIndex	getLeadingDimension () const
	get the memory distance between (this)(i,j) & (this)(i,j+1) More...

virtual tLVectorIndex	getRowsNumber () const
	get the lines number of the matrix from view More...

virtual tLVectorIndex	getColumnsNumber () const
	get the columns number of the matrix from view More...

virtual void	getColumn (const tLVectorIndex &j, LAP_DoubleVector &v) const
	get the j-th column of this symmetric matrix in a vector More...

virtual void	getColumn (const tLVectorIndex &j, SP::LAP_DoubleVector v) const
	get the j-th column of this symmetric matrix in a vector More...

void	getColumnByReference (const tLVectorIndex &j, LAP_DoubleVector &v)
	get the column by reference the values of v pointer to the values of the column j of this More...

void	getColumnByReference (const tLVectorIndex &j, LAP_ConstDoubleVector &v) const
	get the column by reference the values of v pointer to the values of the column j of this More...

virtual void	getRow (const tLVectorIndex &i, LAP_DoubleVector &v) const
	get the i-th row in a vector More...

virtual void	getRow (const tLVectorIndex &i, SP::LAP_DoubleVector v) const
	get the i-th row in a vector More...

virtual tReal	norm2 () const
	return norm2 sqrt(sum_ij(aij^2))=sqrt(tr(AtA)); More...

virtual tReal	norm2 (LAP_DoubleVector &v) const
	return norm2 of the matrix and for each row; More...

virtual tReal	sum (const tFlag &d, LAP_DoubleVector &s) const
	make the sum among the direction if (d==ROW) sum all the columns of each row and size of s is the number of rows if (d==COL) sum all the rows of each column and size of s is the number of columns ^return the sum of all the element of the matrix More...

virtual tReal	sum (const tFlag &d, const tLVectorIndex &index) const
	make the sum among the direction if (d==ROW) sum all the columns of row index if (d==COL) sum all the rows of coluln at index More...

virtual tReal	max (const tFlag &d, const tLVectorIndex &index) const
	make get max among the direction if (d==ROW) max of all the columns of row index if (d==COL) max of all the rows of column at index More...

void	indexMin (tLVectorIndex &i, tLVectorIndex &j) const
	get the index of the min view element in absolute value More...

virtual void	vectorProduct (const LAP_DoubleVector &X, LAP_DoubleVector &Y)
	compute Y=A.X More...

virtual void	vectorProduct (const LAP_DoubleVector &X, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleVector &Y) const
	compute Y:=betaY+alpha.This.X More...

virtual void	vectorProduct (const LAP_ConstDoubleVector &X, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleVector &Y) const
	compute Y:=betaY+alpha.This.X More...

virtual void	vectorProduct (const tBoolean &isTrans, const tLVectorIndex &nX, const tLVectorIncrement &incX, const double X, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &nY, const tLVectorIncrement &incY, double Y) const
	compute Y= op(This). X with op(A)=A or tA depending on isTrans value More...

virtual void	vectorProduct (const tLVectorIndex &nx, const tLVectorIncrement &incx, const double x, const lapack_real &alpha, const lapack_real &beta, const tLVectorIndex &ny, const tLVectorIncrement &incy, double y) const
	compute Y= betaY + alpha. This. X More...

virtual void	dotProduct (const LAP_DoubleVector &v)
	compute the symmetric matrix S= X.tX only the upper symmetric matric is set. (lapack method dsyr called) More...

virtual void	dotProduct (const double &alpha, const LAP_DoubleVector &X)
	compute the symmetric matrix S:= alpha X.tX only the upper symmetric matric is set. (lapack method dsyr called) More...

void	rankSymmetricProduct (const LAP_DoubleFullGeneralMatrix &A)
	compute the symmetric matrix S:=alpha op(A).t(op(A)) More...

void	rankSymmetricProduct (const double &alpha, const tBoolean &isTrans, const LAP_DoubleFullGeneralMatrix &A)
	compute the symmetric matrix S:=alpha op(A).t(op(A)) More...

virtual void	rankSymmetricProduct (const double &alpha, const double &beta, const tBoolean &isTrans, const LAP_DoubleFullGeneralMatrix &A)
	compute the symmetric matrix S:=beta.S+ alpha op(A).t(op(A)) only the upper symmetric matric is set. (lapack method dsyrk called) More...

virtual void	rankSymmetricProduct (const double &alpha, const double &beta, const tLVectorIndex &nARows, const tLVectorIndex &nACols, const tLVectorIncrement &incA, const tLVectorIndex &ldA, const tBoolean &isTransA, const double *A)
	compute the symmetric matrix S:=beta.S+ alpha op(A).t(op(A)) only the upper symmetric matric is set. (lapack method dsyrk called) More...

void	rankSymmetricProduct (const LAP_DoubleVector &D, const LAP_DoubleFullGeneralMatrix &A)
	compute the symmetric matrix S:=alpha op(A).t(op(A)) More...

void	rankSymmetricProduct (const LAP_DoubleVector &D, const double &alpha, const tBoolean &isTrans, const LAP_DoubleFullGeneralMatrix &A)
	compute the symmetric matrix S:=alpha op(A).t(op(A)) More...

virtual void	rankSymmetricProduct (const LAP_DoubleVector &D, const double &alpha, const double &beta, const tBoolean &isTrans, const LAP_DoubleFullGeneralMatrix &A)
	compute the symmetric matrix S:=beta.S+ alpha op(A).t(op(A)) only the upper symmetric matric is set. (lapack method dsyrk called) More...

virtual SP::LAP_DoubleMatrix	matrixProduct (const LAP_DoubleMatrix &B) const
	return C=(This) . B More...

void	matrixProduct (const LAP_DoubleFullSymmetricMatrix &B, LAP_DoubleFullGeneralMatrix &C) const
	return C=(This) . B More...

void	matrixProduct (const LAP_DoubleFullGeneralMatrix &B, LAP_DoubleFullGeneralMatrix &C) const
	return C=(This) . B More...

virtual void	matrixProduct (const LAP_DoubleFullGeneralMatrix &B, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C) const
	return C=(This) . B (lefside=true) or B. (this) (lefside=false) More...

virtual void	matrixProduct (const tBoolean &leftSide, const LAP_DoubleFullGeneralMatrix &B, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C) const
	make the product C = alpha. This . B +beta C if leftSide=true C = alpha. B . This +beta C if leftSide=false More...

virtual void	matrixProduct (const tBoolean &leftSide, const tLVectorIndex &nBRows, const tLVectorIndex &nBCols, const tLVectorIncrement &incB, const tLVectorIndex &ldB, const double *B, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C) const
	make the product: More...

virtual tBoolean	computeEigenValues (LAP_DoubleVector &U) const
	compute the eigen values of This: A is copied in ascending order More...

tBoolean	computeEigenValueDecomposition (LAP_DoubleVector &U)
	compute the eigen elements in ascending order of This the eigen vectors are set in This: This is destroyed IN : only the upper part of This is considered (So A is considered to be symmetric) OUT: This contains its eigen vectors and it is considered as symmetric dsyev lapack method called More...

tBoolean	computeEigenValueDecomposition (LAP_DoubleVector &U, LAP_DoubleFullGeneralMatrix &VR) const
	compute the eigen values in ascending order decomposition on this: More...

virtual tBoolean	computeEigenValueDecomposition (LAP_DoubleVector &U, LAP_DoubleMatrix &VR) const
	compute the eigen values decomposition in acending order on This More...

tBoolean	computeEigenValueDecomposition (LAP_DoubleVector &U, LAP_DoubleFullGeneralMatrix &VR, const int &il, const int &iu) const
	compute the eigen elements in ascending order of This supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric and is copied only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order. More...

tBoolean	inverse ()
	inverse the matrix More...

virtual SP::LAP_DoubleUpperMatrix	choleskyFactorization ()
	compute the choleskey factorization of the full symmetric matrix A is modified such that the upper matrix of A is the matrix upper triangular matrix U : A = tU. U More...

virtual tBoolean	BunchKaufmanFactorization (LAP_IntegerVector &ipiv)
	compute the Bunch Kaufman factorization of the full symmetric matrix A is modified such that the upper matrix of A is the matrix upper triangular uniy diagonal matrix U : A = U. D. tU More...

virtual tBoolean	isSymmetric () const
	return true if the matrix is symmetric More...

virtual tBoolean	isUpper () const
	return true if the matrix is upper More...

const double &	operator[] (const tLVectorIndex &index) const
	get the element at index More...

double &	operator[] (const tLVectorIndex &index)
	get the element at index More...

virtual tBoolean	copy (const LAP_DoubleMatrix &x)
	copy a matrix More...

tBoolean	copy (SPC::LAP_DoubleMatrix x)
	copy a matrix More...

tBoolean	copy (LAP_DoubleMatrix *x)
	copy a matrix More...

virtual tBoolean	copy (const LAP_Matrix &matrix)
	copy operator More...

void	init (const double v)
	init the values to v More...

void	set (const tLVectorIndex &i, const tLVectorIndex &j, const double &v)
	set the value of the element at row i and column j More...

void	add (const tLVectorIndex &i, const tLVectorIndex &j, const double &v)
	add v to the view term (i,j) of the matrix More...

void	setStorage (SP::LAP_DoubleMatrixStorage s)
	set the storage More...

double	get (const tLVectorIndex &i, const tLVectorIndex &j) const
	get the value taking into account the view More...

LAP_DoubleMatrixStorage &	getStorage ()
	set the storage More...

const LAP_DoubleMatrixStorage &	getStorage () const
	set the storage More...

double	trace () const
	return trace More...

void	addDiagonal (const double &alpha)
	This +=alpha.I. More...

pair< tLVectorIndex, tLVectorIndex >	computeBandsNumber () const

double	getFillRate () const
	get the fill rate of the matrix More...

tLVectorIndex	getNullValuesNumber () const
	get the number of null values More...

tLVectorIndex	getValuesNumber () const
	get the number of values More...

virtual SP::LAP_DoubleVector	vectorProduct (const LAP_DoubleVector &X) const
	compute This. X More...

virtual void	vectorProduct (const LAP_DoubleVector &X, LAP_DoubleVector &Y) const
	compute Y= This. X More...

virtual void	vectorProduct (SPC::LAP_DoubleVector &X, SP::LAP_DoubleVector &Y) const
	rcompute Y= This X More...

virtual void	vectorProduct (const tBoolean &isTrans, const LAP_DoubleVector &X, LAP_DoubleVector &Y) const
	compute Y= op(This). X More...

virtual void	vectorProduct (const tBoolean &isTrans, const tLVectorIndex &nX, const tLVectorIncrement &incX, const double X, const double &alpha, const double &beta, const tLVectorIndex &nY, const tLVectorIncrement &incY, double Y) const =0
	compute Y= beta Y + alpha op(This). X with op(A)=A or tA depending on isTrans value More...

virtual tString	toString () const
	print the matrix taking into account the view More...

const tLVectorIndex &	getSize (const tFlag &direction) const
	get the size in direction More...

double &	getNullValue ()
	get a null value More...

const double &	getNullValue () const
	get a const null value More...

tBoolean	isNullValue (const double &v) const
	return true if the value is a null More...

void	getSharedPointer (SP::CORE_Object &p)
	get the shared pointer of this class into p More...

void	getSharedPointer (SPC::CORE_Object &p) const
	get the shared pointer of this class into p More...

tString	getClassName () const
	return the class name of the object More...

tString	getIdentityString () const
	return the identity string of the object of the form className_at_address More...

tString	getPointerAddress () const
	return the identity string of the object More...

template<class T >
tBoolean	isInstanceOf () const
	return true if the object is an instance of T More...

virtual void	print ()
	print the class More...

virtual ostream &	print (ostream &out) const
	print the class More...

virtual void	print (const tString &message)
	print the class More...

virtual void	print (const tInteger &str)
	print More...

virtual void	print (const tRelativeInteger &str)
	print More...

virtual void	print (const tReal &str)
	print More...

virtual void	print (const int &str)
	print More...

Static Public Member Functions
static SP::LAP_DoubleFullSymmetricMatrix	New ()

static SP::LAP_DoubleFullSymmetricMatrix	New (const tLVectorIndex &n)

static SP::LAP_DoubleFullSymmetricMatrix	Identity (const tLVectorIndex &nRows)
	create an identity matrix More...

static void	matrixProduct (const tBoolean &leftSide, const LAP_DoubleFullSymmetricMatrix &S, const LAP_DoubleFullGeneralMatrix &B, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C)
	make the product C = alpha. S . B +beta C if leftSide=true C = alpha. B . S +beta C if leftSide=false dsymm lapack method called More...

static void	matrixProduct (const tBoolean &leftSide, const LAP_DoubleFullSymmetricMatrix &S1, const LAP_DoubleFullSymmetricMatrix &S2, const lapack_real &alpha, const lapack_real &beta, LAP_DoubleFullGeneralMatrix &C)
	make the product C = alpha. S1 . S2 +beta C if leftSide=true C = alpha. S2 . S1 +beta C if leftSide=false dsymm C-lapack method called More...

static tBoolean	computeEigenValues (LAP_DoubleFullSymmetricMatrix &A, LAP_DoubleVector &U)
	compute the eigen values of A in ascending order and A is destroyed after method lapack method dsyev called More...

static tBoolean	computeEigenValueDecomposition (LAP_DoubleFullSymmetricMatrix &A, LAP_DoubleVector &U, LAP_DoubleFullGeneralMatrix &VR)
	compute the eigen elements of A in ascedning order the eigen vectors are set in A: A is destroyed IN : only the upper part of A is considered (So A is considered to be symmetric) OUT: A & VR contains its eigen vectors dsyev lapack method called More...

static tBoolean	computeEigenValueDecomposition (LAP_DoubleFullSymmetricMatrix &A, LAP_DoubleVector &U, LAP_DoubleFullGeneralMatrix &Z, const lapack_int &il, const lapack_int &ul)
	compute the eigen elements of A in ascending order . A is supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric. only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order. More...

static tBoolean	inverse (LAP_DoubleFullSymmetricMatrix &A)
	inverse a symmetric matrix dsytrf & dsytri lapack methods called More...

static tBoolean	inverse (LAP_DoubleFullSymmetricMatrix &A, const LAP_IntegerVector &ipiv)
	inverse a symmetric matrix dsytrf & dsytri lapack methods called More...

static double	zpow (const double &f, const int &n)
	compute the value of pow(f,n)=f^n More...

static tString	getClassName (const tString &identityString)
	return the class name of the object using only the identity string More...

template<class T >
static tString	getTypeName ()
	get type name More...

static tBoolean	is64Architecture ()
	return true if the machine is a 64 bits machine More...

static tBoolean	is32Architecture ()
	return true if the machine is a 32 bits machine More...

static tString	pointer2String (const void *obj)
	return the string represantation of a pointer More...

static void	setOutput (ostream &out)
	set output More...

static ostream &	getOutput ()
	get output More...

static void	printObjectsInMemory ()
	print object in memory More...

static ostream &	print (ostream &out, const tString &message)
	print the class More...

static void	outputPrint (const tString &message)

Static Public Attributes
static const tFlag	ROW =0

static const tFlag	COL =1

static double	ZERO_EPSILON =1.e-18

static tBoolean	mIsMemoryTesting =false
	indicator to store all classes created and deleted only for debuging version More...

Protected Member Functions
void	setThis (SP::CORE_Object p)
	set this weak shared pointer called toDoAfterThis setting method More...

virtual void	setType (tString type)
	set the type of the object More...

virtual void	toDoAfterThisSetting ()
	method called after setThis() method this method can oly be called once. More...

Detailed Description

this class describes a full symmetric matrix for lapack used

This class describes a matrix

Constructor & Destructor Documentation

LAP_DoubleFullSymmetricMatrix::LAP_DoubleFullSymmetricMatrix ( )

build a matrix

References LAP_DoubleFullStorage::New(), and LAP_DoubleMatrix::setStorage().

Referenced by New().

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LAP_DoubleFullSymmetricMatrix::LAP_DoubleFullSymmetricMatrix ( const LAP_DoubleFullSymmetricMatrix & mat )

build a matrix for equality operator in construction

References LAP_DoubleMatrix::copy(), LAP_DoubleFullStorage::New(), and LAP_DoubleMatrix::setStorage().

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LAP_DoubleFullSymmetricMatrix::~LAP_DoubleFullSymmetricMatrix ( )

virtual

destroy a matrix

Member Function Documentation

void LAP_DoubleMatrix::add	(	const tLVectorIndex &	i,
		const tLVectorIndex &	j,
		const double &	v
	)

inlineinherited

add v to the view term (i,j) of the matrix

Parameters

i	: row of the element
j	column of the element
v	value to add

void LAP_DoubleMatrix::addDiagonal ( const double & alpha )

inlineinherited

This +=alpha.I.

Referenced by MATH_StiefelOptimizer::minimize().

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virtual tBoolean LAP_DoubleFullSymmetricMatrix::BunchKaufmanFactorization ( LAP_IntegerVector & ipiv )

inlinevirtual

compute the Bunch Kaufman factorization of the full symmetric matrix A is modified such that the upper matrix of A is the matrix upper triangular uniy diagonal matrix U : A = U. D. tU

virtual SP::LAP_DoubleUpperMatrix LAP_DoubleFullSymmetricMatrix::choleskyFactorization ( )

inlinevirtual

compute the choleskey factorization of the full symmetric matrix A is modified such that the upper matrix of A is the matrix upper triangular matrix U : A = tU. U

Implements LAP_DoubleSymmetricMatrix.

pair<tLVectorIndex,tLVectorIndex> LAP_DoubleMatrix::computeBandsNumber ( ) const

inlineinherited

tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition ( LAP_DoubleVector & U )

inline

compute the eigen elements in ascending order of This the eigen vectors are set in This: This is destroyed IN : only the upper part of This is considered (So A is considered to be symmetric) OUT: This contains its eigen vectors and it is considered as symmetric dsyev lapack method called

tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition	(	LAP_DoubleVector &	U,
		LAP_DoubleFullGeneralMatrix &	VR
	)		const

inline

compute the eigen values in ascending order decomposition on this:

Parameters

U	the eigen values
VR	the eigen vectors matrix Note that This is copied dsyev lapack method called

References LAP_DoubleMatrix::copy(), getRowsNumber(), LAP_DoubleMatrix::getStorage(), LAP_DoubleMatrixStorage::getValuesPointer(), LAP_DoubleFullGeneralMatrix::setValues(), tBoolean, and tLVectorIndex.

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static tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition	(	LAP_DoubleFullSymmetricMatrix &	A,
		LAP_DoubleVector &	U,
		LAP_DoubleFullGeneralMatrix &	VR
	)

inlinestatic

compute the eigen elements of A in ascedning order the eigen vectors are set in A: A is destroyed IN : only the upper part of A is considered (So A is considered to be symmetric) OUT: A & VR contains its eigen vectors dsyev lapack method called

References getRowsNumber(), LAP_DoubleMatrix::getStorage(), LAP_DoubleMatrixStorage::getValuesPointer(), LAP_DoubleFullGeneralMatrix::setValues(), and tBoolean.

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virtual tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition	(	LAP_DoubleVector &	U,
		LAP_DoubleMatrix &	VR
	)		const

inlinevirtual

compute the eigen values decomposition in acending order on This

Parameters

U	the eigen values
VR	the eigen vectors

References LAP_DoubleMatrix::copy(), and null.

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tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition	(	LAP_DoubleVector &	U,
		LAP_DoubleFullGeneralMatrix &	VR,
		const int &	il,
		const int &	iu
	)		const

inline

compute the eigen elements in ascending order of This supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric and is copied only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order.

static tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValueDecomposition	(	LAP_DoubleFullSymmetricMatrix &	A,
		LAP_DoubleVector &	U,
		LAP_DoubleFullGeneralMatrix &	Z,
		const lapack_int &	il,
		const lapack_int &	ul
	)

inlinestatic

compute the eigen elements of A in ascending order . A is supposed to be symmetric, the eigen vectors are set in Z, A must be symmetric. only the eigen values & vectors are computed in index il and iu when the iegen values are ordering in an ascent order.

Parameters

A	(IN/OUT) symmetric Matrix
U	eigen values (OUT)
Z	eigen vectors (OUT)
il	min eigen values index >= 1
ul	: max eigen values index <= A.getSize(ROW) dsyevx lapack method called

References DoubleFullSymmetricMatrixBoundedEigenValues(), getColumnsNumber(), getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), getRowIncrement(), getRowsNumber(), lapack_int, LAP_Vector< T >::resetView(), LAP_DoubleFullGeneralMatrix::setSize(), LAP_Vector< T >::setSize(), and tLVectorIndex.

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static tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValues	(	LAP_DoubleFullSymmetricMatrix &	A,
		LAP_DoubleVector &	U
	)

inlinestatic

compute the eigen values of A in ascending order and A is destroyed after method lapack method dsyev called

References DoubleFullSymmetricMatrixEigenValues(), getColumnsNumber(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), lapack_int, LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), and tLVectorIndex.

Referenced by MMSD_DoubleSymmetricMatrix::computeEigenValues(), and computeEigenValues().

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virtual tBoolean LAP_DoubleFullSymmetricMatrix::computeEigenValues ( LAP_DoubleVector & U ) const

inlinevirtual

compute the eigen values of This: A is copied in ascending order

Implements LAP_DoubleMatrix.

References computeEigenValues().

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virtual tBoolean LAP_Matrix::copy ( const LAP_Matrix & matrix )

inlinevirtualinherited

copy operator

Parameters

m	matrix to copy

Returns: false if the allocation failed

References LAP_Matrix::COL, LAP_Matrix::getSize(), and LAP_Matrix::ROW.

Referenced by LAP_DoubleMatrix::copy().

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tBoolean LAP_DoubleMatrix::copy ( const LAP_DoubleMatrix & x )

virtualinherited

copy a matrix

Parameters

x	the matrix to copy

References LAP_Matrix::copy(), LAP_DoubleMatrixStorage::copy(), LAP_DoubleMatrix::getStorage(), LAP_DoubleMatrix::isSymmetric(), LAP_DoubleFullGeneralMatrix::isTransposed(), LAP_DoubleMatrix::isUpper(), null, and tBoolean.

Referenced by LAP_DoubleBandedSymmetricMatrix::computeEigenValueDecomposition(), LAP_DoubleFullUpperMatrix::computeEigenValueDecomposition(), LAP_DoubleFullGeneralMatrix::computeEigenValueDecomposition(), LAP_DoublePackedSymmetricMatrix::computeEigenValueDecomposition(), computeEigenValueDecomposition(), LAP_DoubleMatrix::copy(), MMSD_DoubleSymmetricMatrix::copy(), LAP_DoubleBandedSymmetricMatrix::LAP_DoubleBandedSymmetricMatrix(), LAP_DoubleBandedUpperMatrix::LAP_DoubleBandedUpperMatrix(), LAP_DoubleFullGeneralMatrix::LAP_DoubleFullGeneralMatrix(), LAP_DoubleFullSymmetricMatrix(), LAP_DoubleFullUpperMatrix::LAP_DoubleFullUpperMatrix(), LAP_DoublePackedSymmetricMatrix::LAP_DoublePackedSymmetricMatrix(), LAP_DoublePackedUpperMatrix::LAP_DoublePackedUpperMatrix(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), LAP_DoubleFullUpperMatrix::matrixProduct(), LAP_DoubleFullGeneralMatrix::matrixProduct(), MATH_StiefelOptimizer::minimize(), LAP_DoubleBandedUpperMatrix::operator=(), LAP_DoubleBandedSymmetricMatrix::operator=(), LAP_DoublePackedSymmetricMatrix::operator=(), LAP_DoubleFullUpperMatrix::operator=(), operator=(), LAP_DoubleFullGeneralMatrix::operator=(), LAP_DoublePackedUpperMatrix::operator=(), and LAP_DoubleFullGeneralMatrix::solve().

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tBoolean LAP_DoubleMatrix::copy ( SPC::LAP_DoubleMatrix x )

inlineinherited

copy a matrix

Parameters

x	the matrix to copy

References LAP_DoubleMatrix::copy(), and null.

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tBoolean LAP_DoubleMatrix::copy ( LAP_DoubleMatrix * x )

inlineinherited

copy a matrix

Parameters

x	the matrix to copy

References LAP_DoubleMatrix::copy(), and null.

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void LAP_DoubleFullSymmetricMatrix::copyUpperToLowerSubMatrix ( )

copy the upper part to the lower part of the matrix

References getColumnsNumber(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), tLVectorIncrement, and tLVectorIndex.

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virtual void LAP_DoubleFullSymmetricMatrix::dotProduct ( const LAP_DoubleVector & v )

inlinevirtual

compute the symmetric matrix S= X.tX only the upper symmetric matric is set. (lapack method dsyr called)

virtual void LAP_DoubleFullSymmetricMatrix::dotProduct	(	const double &	alpha,
		const LAP_DoubleVector &	X
	)

inlinevirtual

compute the symmetric matrix S:= alpha X.tX only the upper symmetric matric is set. (lapack method dsyr called)

References DoubleFullSymmetricMatrixRankSymmetricProduct(), LAP_Vector< T >::getIncrement(), getLeadingDimension(), LAP_Vector< T >::getSize(), setSize(), and tLVectorIndex.

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double LAP_DoubleMatrix::get	(	const tLVectorIndex &	i,
		const tLVectorIndex &	j
	)		const

inlineinherited

get the value taking into account the view

Referenced by MMSD_DataSet::getProperties(), LAP_DoubleBandedSymmetricMatrix::matrixProduct(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoublePackedSymmetricMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), matrixProduct(), LAP_DoubleFullUpperMatrix::matrixProduct(), LAP_DoubleFullGeneralMatrix::matrixProduct(), testEigenFunction(), testOptimize(), testOptimizerGProject1(), testOptimizerGProject2(), and testOptimizerHInverse().

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static tString CORE_Object::getClassName ( const tString & identityString )

inlinestaticinherited

return the class name of the object using only the identity string

Referenced by UI_Class::createVector2D(), LAP_DoublePackedUpperMatrix::matrixProduct(), LAP_DoubleBandedUpperMatrix::matrixProduct(), LAP_DoubleFullUpperMatrix::matrixProduct(), and CORE_Object::printObjectsInMemory().

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tString CORE_Object::getClassName ( ) const

inherited

return the class name of the object

Returns: the class name of the object

References tString.

Referenced by CORE_Object::getIdentityString().

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void LAP_DoubleFullSymmetricMatrix::getColumn	(	const tLVectorIndex &	j,
		LAP_DoubleVector &	v
	)		const

virtual

get the j-th column of this symmetric matrix in a vector

Implements LAP_DoubleMatrix.

References getColumnsNumber(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), tLVectorIncrement, and tLVectorIndex.

Referenced by getColumn().

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virtual void LAP_DoubleFullSymmetricMatrix::getColumn	(	const tLVectorIndex &	j,
		SP::LAP_DoubleVector	v
	)		const

inlinevirtual

get the j-th column of this symmetric matrix in a vector

Reimplemented from LAP_DoubleMatrix.

References ASSERT_IN, getColumn(), and null.

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void LAP_DoubleFullSymmetricMatrix::getColumnByReference	(	const tLVectorIndex &	j,
		LAP_DoubleVector &	v
	)

inline

get the column by reference the values of v pointer to the values of the column j of this

References LAP_DoubleFullStorage::getColumnByReference(), and getFullStorage().

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void LAP_DoubleFullSymmetricMatrix::getColumnByReference	(	const tLVectorIndex &	j,
		LAP_ConstDoubleVector &	v
	)		const

inline

get the column by reference the values of v pointer to the values of the column j of this

References LAP_DoubleFullStorage::getColumnByReference(), and getFullStorage().

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virtual tLVectorIndex LAP_DoubleFullSymmetricMatrix::getColumnsNumber ( ) const

inlinevirtual

get the columns number of the matrix from view

Reimplemented from LAP_Matrix.

References getFullStorage(), and LAP_DoubleFullStorage::getViewedColumnsNumber().

Referenced by computeEigenValueDecomposition(), computeEigenValues(), copyUpperToLowerSubMatrix(), getColumn(), getRow(), indexMin(), matrixProduct(), LAP_DoublePackedSymmetricMatrix::matrixProduct(), and sum().

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double LAP_DoubleMatrix::getFillRate ( ) const

inlineinherited

get the fill rate of the matrix

LAP_DoubleFullStorage& LAP_DoubleFullSymmetricMatrix::getFullStorage ( )

inline

GET.

get the full storage

References LAP_DoubleMatrix::getStorage().

Referenced by getColumnByReference(), getColumnsNumber(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), indexMin(), operator()(), LAP_DoublePackedSymmetricMatrix::operator*=(), operator*=(), LAP_DoublePackedSymmetricMatrix::operator+=(), operator+=(), LAP_DoublePackedSymmetricMatrix::operator-=(), operator-=(), LAP_DoublePackedSymmetricMatrix::operator/=(), operator/=(), operator^=(), setSize(), and setValues().

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const LAP_DoubleFullStorage& LAP_DoubleFullSymmetricMatrix::getFullStorage ( ) const

inline

get the full storage

References LAP_DoubleMatrix::getStorage().

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tString CORE_Object::getIdentityString ( ) const

inlineinherited

return the identity string of the object of the form className_at_address

Returns: the identity string of the object

References CORE_Object::getClassName(), CORE_Object::pointer2String(), and tString.

Referenced by UI_Class::createPrimitiveMap(), UI_Class::saveAssociation(), UI_Class::saveClass(), UI_ClassFactory::saveIntoClass(), MATH_StiefelFunction::toString(), LAP_2DView::toString(), CORE_Object::toString(), MATH_StiefelOptimizer::toString(), and MM_Class::toString().

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tLVectorIndex LAP_DoubleFullSymmetricMatrix::getLeadingDimension ( ) const

inline

get the memory distance between (*this)(i,j) & (*this)(i,j+1)

References getFullStorage(), and LAP_DoubleFullStorage::getLeadingDimension().

Referenced by computeEigenValueDecomposition(), computeEigenValues(), copyUpperToLowerSubMatrix(), dotProduct(), getColumn(), getRow(), indexMin(), inverse(), matrixProduct(), max(), norm2(), rankSymmetricProduct(), sum(), and vectorProduct().

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double& LAP_Object::getNullValue ( )

inlineinherited

get a null value

Referenced by LAP_DoubleBandedStorage::operator()(), LAP_DoubleBandedUpperMatrix::operator()(), LAP_DoublePackedUpperMatrix::operator()(), and LAP_DoubleFullUpperMatrix::operator()().

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const double& LAP_Object::getNullValue ( ) const

inlineinherited

get a const null value

tLVectorIndex LAP_DoubleMatrix::getNullValuesNumber ( ) const

inlineinherited

get the number of null values

static ostream& CORE_Object::getOutput ( )

inlinestaticinherited

get output

tString CORE_Object::getPointerAddress ( ) const

inlineinherited

return the identity string of the object

Returns: the identity string of the object

References CORE_Object::pointer2String().

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void LAP_DoubleFullSymmetricMatrix::getRow	(	const tLVectorIndex &	i,
		LAP_DoubleVector &	v
	)		const

virtual

get the i-th row in a vector

Implements LAP_DoubleMatrix.

References getColumnsNumber(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), tLVectorIncrement, and tLVectorIndex.

Referenced by getRow().

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virtual void LAP_DoubleFullSymmetricMatrix::getRow	(	const tLVectorIndex &	i,
		SP::LAP_DoubleVector	v
	)		const

inlinevirtual

get the i-th row in a vector

Reimplemented from LAP_DoubleMatrix.

References ASSERT_IN, getRow(), and null.

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tLVectorIndex LAP_DoubleFullSymmetricMatrix::getRowIncrement ( ) const

inline

get the memory distance between (*this)(i,j) & (*this)(i+1,j)

References getFullStorage(), and LAP_DoubleFullStorage::getRowIncrement().

Referenced by computeEigenValueDecomposition(), computeEigenValues(), copyUpperToLowerSubMatrix(), getColumn(), getRow(), indexMin(), inverse(), max(), norm2(), rankSymmetricProduct(), sum(), and vectorProduct().

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virtual tLVectorIndex LAP_DoubleFullSymmetricMatrix::getRowsNumber ( ) const

inlinevirtual

get the lines number of the matrix from view

Reimplemented from LAP_Matrix.

References getFullStorage(), and LAP_DoubleFullStorage::getViewedRowsNumber().

Referenced by computeEigenValueDecomposition(), computeEigenValues(), copyUpperToLowerSubMatrix(), getColumn(), getRow(), inverse(), matrixProduct(), LAP_DoublePackedSymmetricMatrix::matrixProduct(), max(), norm2(), rankSymmetricProduct(), sum(), and vectorProduct().

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void CORE_Object::getSharedPointer ( SP::CORE_Object & p )

inlineinherited

get the shared pointer of this class into p

Referenced by CORE_Map< Key, Value >::getSharedPointer(), CORE_Array< tFlag >::getSharedPointer(), LAP_ConstVector< lapack_real >::getSharedPointer(), STAT_Combinatorial< T >::getSharedPointer(), LAP_Vector< lapack_int >::getSharedPointer(), CORE_Vector< T >::getSharedPointer(), CORE_Matrix< T >::getSharedPointer(), and CORE_Object::printObjectsInMemory().

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void CORE_Object::getSharedPointer ( SPC::CORE_Object & p ) const

inlineinherited

get the shared pointer of this class into p

const tLVectorIndex& LAP_Matrix::getSize ( const tFlag & direction ) const

inlineinherited

get the size in direction

Referenced by LAP_DoubleFullGeneralMatrix::concat(), LAP_Matrix::copy(), LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), MMSD_DoubleSymmetricMatrix::getSize(), indexMin(), LAP_DoubleFullUpperMatrix::indexMin(), LAP_DoubleFullGeneralMatrix::indexMin(), LAP_DoubleFullGeneralMatrix::removeColumn(), and LAP_DoubleFullGeneralMatrix::solve().

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LAP_DoubleMatrixStorage& LAP_DoubleMatrix::getStorage ( )

inlineinherited

set the storage

References null.

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const LAP_DoubleMatrixStorage& LAP_DoubleMatrix::getStorage ( ) const

inlineinherited

set the storage

References null.

template<class T >

static tString CORE_Object::getTypeName ( )

inlinestaticinherited

get type name

References tString.

tLVectorIndex LAP_DoubleMatrix::getValuesNumber ( ) const

inlineinherited

get the number of values

Referenced by MMSD_DoubleSymmetricMatrix::getValuesNumber(), and MMSD_Model::saveToUIClass().

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static SP::LAP_DoubleFullSymmetricMatrix LAP_DoubleFullSymmetricMatrix::Identity ( const tLVectorIndex & nRows )

inlinestatic

create an identity matrix

References New(), and tLVectorIndex.

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void LAP_DoubleFullSymmetricMatrix::indexMin	(	tLVectorIndex &	i,
		tLVectorIndex &	j
	)		const

get the index of the min view element in absolute value

Parameters

i	return the row index of the min element
j	return the column index of the min element

References getColumnsNumber(), getFullStorage(), getLeadingDimension(), getRowIncrement(), LAP_Matrix::getSize(), LAP_DoubleFullStorage::getStart(), REAL_INFINITY, LAP_Matrix::ROW, tLVectorIncrement, tLVectorIndex, and tReal.

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void LAP_DoubleMatrix::init ( const double v )

inlineinherited

init the values to v

Parameters

v	init value

References LAP_DoubleMatrix::getStorage(), and LAP_DoubleMatrixStorage::init().

Referenced by MMSD_DoubleFullMatrix::operator=().

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tBoolean LAP_DoubleFullSymmetricMatrix::inverse ( )

inline

inverse the matrix

Returns: true if succeeds

static tBoolean LAP_DoubleFullSymmetricMatrix::inverse ( LAP_DoubleFullSymmetricMatrix & A )

inlinestatic

inverse a symmetric matrix dsytrf & dsytri lapack methods called

References DoubleFullSymmetricMatrixInverse(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), LAP_Vector< T >::setSize(), and tLVectorIndex.

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static tBoolean LAP_DoubleFullSymmetricMatrix::inverse	(	LAP_DoubleFullSymmetricMatrix &	A,
		const LAP_IntegerVector &	ipiv
	)

inlinestatic

inverse a symmetric matrix dsytrf & dsytri lapack methods called

References DoubleFullSymmetricMatrixInverse(), getLeadingDimension(), getRowIncrement(), and getRowsNumber().

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static tBoolean CORE_Object::is32Architecture ( )

inlinestaticinherited

return true if the machine is a 32 bits machine

References CORE_Object::is64Architecture().

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tBoolean CORE_Object::is64Architecture ( )

staticinherited

return true if the machine is a 64 bits machine

Referenced by CORE_Object::is32Architecture().

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template<class T >

tBoolean CORE_Object::isInstanceOf ( ) const

inlineinherited

return true if the object is an instance of T

References null.

tBoolean LAP_Object::isNullValue ( const double & v ) const

inlineinherited

return true if the value is a null

virtual tBoolean LAP_DoubleSymmetricMatrix::isSymmetric ( ) const

inlinevirtualinherited

return true if the matrix is symmetric

Implements LAP_DoubleMatrix.

virtual tBoolean LAP_DoubleSymmetricMatrix::isUpper ( ) const

inlinevirtualinherited

return true if the matrix is upper

Implements LAP_DoubleMatrix.

virtual SP::LAP_DoubleMatrix LAP_DoubleFullSymmetricMatrix::matrixProduct ( const LAP_DoubleMatrix & B ) const

inlinevirtual

return C=(This) . B

Implements LAP_DoubleMatrix.

References LAP_DoubleMatrix::get(), LAP_DoubleFullGeneralMatrix::New(), and null.

Referenced by matrixProduct(), and MMSD_DoubleSymmetricMatrix::product().

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void LAP_DoubleFullSymmetricMatrix::matrixProduct	(	const LAP_DoubleFullSymmetricMatrix &	B,
		LAP_DoubleFullGeneralMatrix &	C
	)		const

inline

return C=(This) . B

References getColumnsNumber(), getRowsNumber(), matrixProduct(), and LAP_DoubleFullGeneralMatrix::setSize().

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void LAP_DoubleFullSymmetricMatrix::matrixProduct	(	const LAP_DoubleFullGeneralMatrix &	B,
		LAP_DoubleFullGeneralMatrix &	C
	)		const

inline

return C=(This) . B

References LAP_DoubleFullGeneralMatrix::getColumnsNumber(), getRowsNumber(), matrixProduct(), and LAP_DoubleFullGeneralMatrix::setSize().

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virtual void LAP_DoubleFullSymmetricMatrix::matrixProduct	(	const LAP_DoubleFullGeneralMatrix &	B,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		LAP_DoubleFullGeneralMatrix &	C
	)		const

inlinevirtual

return C=(This) . B (lefside=true) or B. (this) (lefside=false)

References matrixProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::matrixProduct	(	const tBoolean &	leftSide,
		const LAP_DoubleFullGeneralMatrix &	B,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		LAP_DoubleFullGeneralMatrix &	C
	)		const

inlinevirtual

make the product C = alpha. This . B +beta C if leftSide=true C = alpha. B . This +beta C if leftSide=false

Implements LAP_DoubleSymmetricMatrix.

References matrixProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::matrixProduct	(	const tBoolean &	leftSide,
		const tLVectorIndex &	nBRows,
		const tLVectorIndex &	nBCols,
		const tLVectorIncrement &	incB,
		const tLVectorIndex &	ldB,
		const double *	B,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		LAP_DoubleFullGeneralMatrix &	C
	)		const

inlinevirtual

make the product:

if (leftSide) C = alpha. This . B +beta C

if (!leftSide) C = alpha. B . This +beta C

Parameters

leftside	: the side of product
nBRows	number of rows of B
nBcols	number of columns of B
incB	memory distance between B(i,j) && B(i+1,j)
ldB	memory distance between B(i,j) && B(i,j+1)
alpha	the alpha value
beta	the beta value
C	the output full matrix

Implements LAP_DoubleSymmetricMatrix.

References ASSERT_IN, DoubleFullSymmetricMatrixMatrixProduct(), LAP_DoubleFullGeneralMatrix::getColumnsNumber(), getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), getRowsNumber(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), LAP_DoubleFullGeneralMatrix::setSize(), and tLVectorIndex.

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static void LAP_DoubleFullSymmetricMatrix::matrixProduct	(	const tBoolean &	leftSide,
		const LAP_DoubleFullSymmetricMatrix &	S,
		const LAP_DoubleFullGeneralMatrix &	B,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		LAP_DoubleFullGeneralMatrix &	C
	)

inlinestatic

make the product C = alpha. S . B +beta C if leftSide=true C = alpha. B . S +beta C if leftSide=false dsymm lapack method called

References ASSERT_IN, DoubleFullSymmetricMatrixMatrixProduct(), LAP_DoubleFullGeneralMatrix::getColumnsNumber(), getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), getRowsNumber(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), LAP_DoubleFullGeneralMatrix::setSize(), and tLVectorIndex.

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static void LAP_DoubleFullSymmetricMatrix::matrixProduct	(	const tBoolean &	leftSide,
		const LAP_DoubleFullSymmetricMatrix &	S1,
		const LAP_DoubleFullSymmetricMatrix &	S2,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		LAP_DoubleFullGeneralMatrix &	C
	)

inlinestatic

make the product C = alpha. S1 . S2 +beta C if leftSide=true C = alpha. S2 . S1 +beta C if leftSide=false dsymm C-lapack method called

References DoubleFullSymmetricMatrixMatrixProduct(), getColumnsNumber(), LAP_DoubleFullGeneralMatrix::getColumnsNumber(), getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), getRowsNumber(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), LAP_DoubleFullGeneralMatrix::setSize(), and tLVectorIndex.

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tReal LAP_DoubleFullSymmetricMatrix::max	(	const tFlag &	d,
		const tLVectorIndex &	index
	)		const

virtual

make get max among the direction if (d==ROW) max of all the columns of row index if (d==COL) max of all the rows of column at index

References getLeadingDimension(), getRowIncrement(), getRowsNumber(), REAL_INFINITY, tLVectorIncrement, tLVectorIndex, and tReal.

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static SP::LAP_DoubleFullSymmetricMatrix LAP_DoubleFullSymmetricMatrix::New ( )

inlinestatic

References LAP_DoubleFullSymmetricMatrix().

Referenced by Identity(), New(), NewInstance(), MMSD_DoubleSymmetricMatrix::setStorage(), testEigenFunction(), testOptimize(), testOptimizerGProject1(), testOptimizerGProject2(), and testOptimizerHInverse().

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static SP::LAP_DoubleFullSymmetricMatrix LAP_DoubleFullSymmetricMatrix::New ( const tLVectorIndex & n )

inlinestatic

References New().

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virtual SP::LAP_DoubleMatrix LAP_DoubleFullSymmetricMatrix::NewInstance ( ) const

inlinevirtual

create a New instance of this

Implements LAP_DoubleMatrix.

References New().

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tReal LAP_DoubleFullSymmetricMatrix::norm2 ( ) const

virtual

return norm2 sqrt(sum_ij(aij^2))=sqrt(tr(AtA));

Implements LAP_DoubleMatrix.

References getLeadingDimension(), getRowIncrement(), getRowsNumber(), sum(), tLVectorIncrement, and tLVectorIndex.

Referenced by MATH_StiefelOptimizer::minimize().

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tReal LAP_DoubleFullSymmetricMatrix::norm2 ( LAP_DoubleVector & v ) const

virtual

return norm2 of the matrix and for each row;

Implements LAP_DoubleMatrix.

References getLeadingDimension(), getRowIncrement(), getRowsNumber(), LAP_Vector< T >::resetView(), LAP_Vector< T >::setSize(), sum(), tLVectorIncrement, and tLVectorIndex.

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virtual double& LAP_DoubleFullSymmetricMatrix::operator()	(	const tLVectorIndex &	i,
		const tLVectorIndex &	j
	)

inlinevirtual

accessor of element at row i and column j taking into account the view only use the upper diagonal

Implements LAP_DoubleMatrix.

References getFullStorage().

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virtual const double& LAP_DoubleFullSymmetricMatrix::operator()	(	const tLVectorIndex &	i,
		const tLVectorIndex &	j
	)		const

inlinevirtual

accessor of element at row i and column j taking into account the view only use the upper diagonal

Implements LAP_DoubleMatrix.

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator*= ( const lapack_real & s )

inline

multiply by s the matrix

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator*= ( const LAP_DoubleFullSymmetricMatrix & s )

inline

multiply the viewed matrices term by term

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix & LAP_DoubleFullSymmetricMatrix::operator*= ( const LAP_DoublePackedSymmetricMatrix & s )

multiply the viewed matrices term by term

References getFullStorage(), LAP_DoublePackedSymmetricMatrix::getPackedStorage(), and LAP_DoubleFullStorage::multiplyBy().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator+= ( const lapack_real & s )

inline

add s to the upper matrix

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator+= ( const LAP_DoubleFullSymmetricMatrix & s )

inline

add the viewed matrix

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix & LAP_DoubleFullSymmetricMatrix::operator+= ( const LAP_DoublePackedSymmetricMatrix & s )

add the viewed matrix

References LAP_DoubleFullStorage::add(), getFullStorage(), and LAP_DoublePackedSymmetricMatrix::getPackedStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator-= ( const lapack_real & s )

inline

sub s to the upper matrix

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator-= ( const LAP_DoubleFullSymmetricMatrix & s )

inline

sub the viewed matrix

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix & LAP_DoubleFullSymmetricMatrix::operator-= ( const LAP_DoublePackedSymmetricMatrix & s )

sub the viewed matrix

References getFullStorage(), LAP_DoublePackedSymmetricMatrix::getPackedStorage(), and LAP_DoubleFullStorage::sub().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator/= ( const lapack_real & s )

inline

divide by s the matrix v

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator/= ( const LAP_DoubleFullSymmetricMatrix & s )

inline

divide the viewed matrices term by term

References getFullStorage().

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LAP_DoubleFullSymmetricMatrix & LAP_DoubleFullSymmetricMatrix::operator/= ( const LAP_DoublePackedSymmetricMatrix & s )

divide the viewed matrices term by term

References LAP_DoubleFullStorage::divideBy(), getFullStorage(), and LAP_DoublePackedSymmetricMatrix::getPackedStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator= ( const double & s )

inline

init all the matrix to s

References LAP_DoubleMatrix::getStorage(), and LAP_DoubleMatrixStorage::init().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator= ( const LAP_DoubleFullSymmetricMatrix & s )

inline

init all the matrix to s

References LAP_DoubleMatrix::copy().

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const double& LAP_DoubleMatrix::operator[] ( const tLVectorIndex & index ) const

inlineinherited

get the element at index

Parameters

index index of the element in [0,getStorage().getValuesNumber()[ return the value of the element at index for reading

References LAP_DoubleMatrix::getStorage().

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double& LAP_DoubleMatrix::operator[] ( const tLVectorIndex & index )

inlineinherited

get the element at index

Parameters

index index of the element in [0,getValuesNumber()[ return the value of the element at index for writing

References LAP_DoubleMatrix::getStorage().

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LAP_DoubleFullSymmetricMatrix& LAP_DoubleFullSymmetricMatrix::operator^= ( const lapack_real & s )

inline

power by s the matrix v

References getFullStorage().

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void CORE_Object::outputPrint ( const tString & message )

staticinherited

print on output

References null, and CORE_Object::print().

Referenced by CORE_Exception::CORE_Exception().

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tString CORE_Object::pointer2String ( const void * obj )

staticinherited

return the string represantation of a pointer

References tString.

Referenced by CORE_Object::CORE_Object(), CORE_Object::getIdentityString(), CORE_Object::getPointerAddress(), and CORE_Object::~CORE_Object().

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virtual void CORE_Object::print ( )

inlinevirtualinherited

print the class

References CORE_Object::toString().

Referenced by CORE_Object::outputPrint(), CORE_Out::print(), CORE_Object::print(), CORE_Out::printInt(), CORE_Out::println(), CORE_Out::printReal(), CORE_Out::printString(), and CORE_Out::setAction().

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virtual ostream& CORE_Object::print ( ostream & out ) const

inlinevirtualinherited

print the class

References CORE_Object::print(), and CORE_Object::toString().

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void CORE_Object::print ( const tString & message )

virtualinherited

print the class

Reimplemented in CORE_Out.

References null, and CORE_Object::print().

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void CORE_Object::print ( const tInteger & str )

virtualinherited

print

References null.

void CORE_Object::print ( const tRelativeInteger & str )

virtualinherited

print

References null.

void CORE_Object::print ( const tReal & str )

virtualinherited

print

References null.

void CORE_Object::print ( const int & str )

virtualinherited

print

References null.

static ostream& CORE_Object::print	(	ostream &	out,
		const tString &	message
	)

inlinestaticinherited

print the class

void CORE_Object::printObjectsInMemory ( )

staticinherited

print object in memory

References CORE_Object::getClassName(), CORE_Object::getSharedPointer(), and CORE_Object::mIsMemoryTesting.

Referenced by main().

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void LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct ( const LAP_DoubleFullGeneralMatrix & A )

inline

compute the symmetric matrix S:=alpha op(A).t(op(A))

Referenced by MATH_StiefelOptimizer::minimize(), and rankSymmetricProduct().

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void LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct	(	const double &	alpha,
		const tBoolean &	isTrans,
		const LAP_DoubleFullGeneralMatrix &	A
	)

inline

compute the symmetric matrix S:=alpha op(A).t(op(A))

References rankSymmetricProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct	(	const double &	alpha,
		const double &	beta,
		const tBoolean &	isTrans,
		const LAP_DoubleFullGeneralMatrix &	A
	)

inlinevirtual

compute the symmetric matrix S:=beta.S+ alpha op(A).t(op(A)) only the upper symmetric matric is set. (lapack method dsyrk called)

References LAP_DoubleFullGeneralMatrix::getColumnsNumber(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getRowIncrement(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), rankSymmetricProduct(), tLVectorIncrement, and tLVectorIndex.

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virtual void LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct	(	const double &	alpha,
		const double &	beta,
		const tLVectorIndex &	nARows,
		const tLVectorIndex &	nACols,
		const tLVectorIncrement &	incA,
		const tLVectorIndex &	ldA,
		const tBoolean &	isTransA,
		const double *	A
	)

inlinevirtual

compute the symmetric matrix S:=beta.S+ alpha op(A).t(op(A)) only the upper symmetric matric is set. (lapack method dsyrk called)

Implements LAP_DoubleSymmetricMatrix.

References DoubleFullSymmetricMatrixKRankSymmetricProduct(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), null, setSize(), and tLVectorIndex.

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void LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct	(	const LAP_DoubleVector &	D,
		const LAP_DoubleFullGeneralMatrix &	A
	)

inline

compute the symmetric matrix S:=alpha op(A).t(op(A))

References rankSymmetricProduct().

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void LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct	(	const LAP_DoubleVector &	D,
		const double &	alpha,
		const tBoolean &	isTrans,
		const LAP_DoubleFullGeneralMatrix &	A
	)

inline

compute the symmetric matrix S:=alpha op(A).t(op(A))

References rankSymmetricProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::rankSymmetricProduct	(	const LAP_DoubleVector &	D,
		const double &	alpha,
		const double &	beta,
		const tBoolean &	isTrans,
		const LAP_DoubleFullGeneralMatrix &	A
	)

inlinevirtual

compute the symmetric matrix S:=beta.S+ alpha op(A).t(op(A)) only the upper symmetric matric is set. (lapack method dsyrk called)

References DoubleFullSymmetricMatrixKRankSymmetricProduct(), LAP_DoubleFullGeneralMatrix::getColumnsNumber(), LAP_Vector< T >::getIncrement(), getLeadingDimension(), LAP_DoubleFullGeneralMatrix::getLeadingDimension(), getRowIncrement(), LAP_DoubleFullGeneralMatrix::getRowIncrement(), getRowsNumber(), LAP_DoubleFullGeneralMatrix::getRowsNumber(), LAP_Vector< T >::getSize(), setSize(), and tLVectorIndex.

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void LAP_DoubleMatrix::set	(	const tLVectorIndex &	i,
		const tLVectorIndex &	j,
		const double &	v
	)

inlineinherited

set the value of the element at row i and column j

Parameters

i	: row of the element
j	column of the element
v	value to set

static void CORE_Object::setOutput ( ostream & out )

inlinestaticinherited

set output

virtual void LAP_DoubleFullSymmetricMatrix::setSize	(	const tLVectorIndex &	n,
		const tLVectorIndex &	p
	)

inlinevirtual

set the dimension of the matrix and allocate the values array

Reimplemented from LAP_Matrix.

References getFullStorage(), LAP_Matrix::setSize(), LAP_DoubleFullStorage::setValuesNumber(), and tLVectorIndex.

Referenced by computeAMatrix(), dotProduct(), MATH_StiefelOptimizer::minimize(), rankSymmetricProduct(), and setSize().

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virtual void LAP_DoubleFullSymmetricMatrix::setSize ( const tLVectorIndex & n )

inlinevirtual

set the dimension of the matrix and alocate the values array

Reimplemented from LAP_Matrix.

References setSize().

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void LAP_DoubleMatrix::setStorage ( SP::LAP_DoubleMatrixStorage s )

inlineinherited

set the storage

Referenced by LAP_DoubleBandedSymmetricMatrix::LAP_DoubleBandedSymmetricMatrix(), LAP_DoubleBandedUpperMatrix::LAP_DoubleBandedUpperMatrix(), LAP_DoubleFullGeneralMatrix::LAP_DoubleFullGeneralMatrix(), LAP_DoubleFullSymmetricMatrix(), LAP_DoubleFullUpperMatrix::LAP_DoubleFullUpperMatrix(), LAP_DoublePackedSymmetricMatrix::LAP_DoublePackedSymmetricMatrix(), and LAP_DoublePackedUpperMatrix::LAP_DoublePackedUpperMatrix().

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void CORE_Object::setThis ( SP::CORE_Object p )

inlineprotectedinherited

set this weak shared pointer called toDoAfterThis setting method

References CORE_Object::toDoAfterThisSetting().

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virtual void CORE_Object::setType ( tString type )

inlineprotectedvirtualinherited

set the type of the object

Referenced by LAP_IntegerVector::LAP_IntegerVector(), MATH_BetaFunction::MATH_BetaFunction(), MATH_C1Function::MATH_C1Function(), MATH_DigammaFunction::MATH_DigammaFunction(), MATH_EigenFunction::MATH_EigenFunction(), MATH_Equation::MATH_Equation(), MATH_Function::MATH_Function(), MATH_GammaFunction::MATH_GammaFunction(), MATH_KeplerFunction::MATH_KeplerFunction(), MATH_LogGammaFunction::MATH_LogGammaFunction(), MATH_NewtonEquation::MATH_NewtonEquation(), MATH_StiefelFunction::MATH_StiefelFunction(), MATH_StiefelOptimizer::MATH_StiefelOptimizer(), MATH_TranscendentEquation::MATH_TranscendentEquation(), MATH_TrigammaFunction::MATH_TrigammaFunction(), MATH_ZeroEquation::MATH_ZeroEquation(), MATH_ZKeplerFunction::MATH_ZKeplerFunction(), MM_Attribute::MM_Attribute(), MM_Class::MM_Class(), MM_ClassFactory::MM_ClassFactory(), MM_Data::MM_Data(), MM_Structure::MM_Structure(), MMSD_ClassFactory::MMSD_ClassFactory(), MMSD_Cluster::MMSD_Cluster(), MMSD_ConstDoubleVector::MMSD_ConstDoubleVector(), MMSD_ConstraintGaussianCluster::MMSD_ConstraintGaussianCluster(), MMSD_ConstraintGaussianModel::MMSD_ConstraintGaussianModel(), MMSD_DataSet::MMSD_DataSet(), MMSD_DataSetClassFactory::MMSD_DataSetClassFactory(), MMSD_DoubleFullMatrix::MMSD_DoubleFullMatrix(), MMSD_DoubleSymmetricMatrix::MMSD_DoubleSymmetricMatrix(), MMSD_DoubleVector::MMSD_DoubleVector(), MMSD_FluryGautschiGaussianLaw::MMSD_FluryGautschiGaussianLaw(), MMSD_GaussianCluster::MMSD_GaussianCluster(), MMSD_GaussianFDFunction::MMSD_GaussianFDFunction(), MMSD_GaussianLaw::MMSD_GaussianLaw(), MMSD_GaussianModel::MMSD_GaussianModel(), MMSD_Law::MMSD_Law(), MMSD_Model::MMSD_Model(), MMSD_ModelClassFactory::MMSD_ModelClassFactory(), MMSD_Object::MMSD_Object(), MMSD_StiefelFunction::MMSD_StiefelFunction(), MMSD_StiefelGaussianLaw::MMSD_StiefelGaussianLaw(), STAT_BernoulliDistribution::STAT_BernoulliDistribution(), STAT_BinomialDistribution::STAT_BinomialDistribution(), STAT_Combinatorial< T >::STAT_Combinatorial(), STAT_DiracDistribution::STAT_DiracDistribution(), STAT_Distribution::STAT_Distribution(), STAT_ExponentialDistribution::STAT_ExponentialDistribution(), STAT_GammaDistribution::STAT_GammaDistribution(), STAT_GeometricDistribution::STAT_GeometricDistribution(), STAT_InverseNormalDistribution::STAT_InverseNormalDistribution(), STAT_NormalDistribution::STAT_NormalDistribution(), STAT_Object::STAT_Object(), STAT_PoissonDistribution::STAT_PoissonDistribution(), STAT_UniformDistribution::STAT_UniformDistribution(), and STAT_UniformLaplaceTransform::STAT_UniformLaplaceTransform().

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virtual void LAP_DoubleFullSymmetricMatrix::setValues ( SP::LAP_DoubleVector v )

inlinevirtual

set the values of the matrix to V without allocation the values array

Parameters

n	number of rows
value	values ordered by columns

Reimplemented from LAP_DoubleMatrix.

References getFullStorage(), LAP_Matrix::setSize(), LAP_DoubleFullStorage::setValuesPointer(), and tLVectorIndex.

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virtual void LAP_DoubleFullSymmetricMatrix::setValues	(	const tLVectorIndex &	n,
		const double *	values
	)

inlinevirtual

set the values

Parameters

n	number of values
values	values ordered by columns

Reimplemented from LAP_DoubleMatrix.

References getFullStorage(), LAP_Matrix::setSize(), LAP_DoubleFullStorage::setValues(), and tLVectorIndex.

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tReal LAP_DoubleFullSymmetricMatrix::sum	(	const tFlag &	d,
		LAP_DoubleVector &	s
	)		const

virtual

make the sum among the direction if (d==ROW) sum all the columns of each row and size of s is the number of rows if (d==COL) sum all the rows of each column and size of s is the number of columns ^return the sum of all the element of the matrix

Implements LAP_DoubleMatrix.

References getColumnsNumber(), getLeadingDimension(), getRowIncrement(), getRowsNumber(), null, LAP_Vector< T >::setSize(), tLVectorIncrement, and tLVectorIndex.

Referenced by norm2(), and sum().

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tReal LAP_DoubleFullSymmetricMatrix::sum	(	const tFlag &	d,
		const tLVectorIndex &	index
	)		const

virtual

make the sum among the direction if (d==ROW) sum all the columns of row index if (d==COL) sum all the rows of coluln at index

Implements LAP_DoubleMatrix.

References getLeadingDimension(), getRowIncrement(), getRowsNumber(), sum(), tLVectorIncrement, and tLVectorIndex.

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virtual void CORE_Object::toDoAfterThisSetting ( )

inlineprotectedvirtualinherited

method called after setThis() method this method can oly be called once.

Reimplemented in STAT_UniformLaplaceTransform.

Referenced by CORE_Object::setThis(), and STAT_UniformLaplaceTransform::toDoAfterThisSetting().

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tString LAP_DoubleMatrix::toString ( ) const

virtualinherited

print the matrix taking into account the view

Reimplemented from CORE_Object.

References LAP_Matrix::getColumnsNumber(), LAP_Matrix::getRowsNumber(), tLVectorIndex, CORE_String::toString(), and tString.

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double LAP_DoubleMatrix::trace ( ) const

inlineinherited

return trace

References LAP_DoubleMatrix::getStorage(), and LAP_DoubleMatrixStorage::trace().

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virtual SP::LAP_DoubleVector LAP_DoubleMatrix::vectorProduct ( const LAP_DoubleVector & X ) const

inlinevirtualinherited

compute This. X

Parameters

X	input vector

Returns: This.X

References LAP_Vector< T >::get(), and LAP_DoubleVector::New().

Referenced by LAP_DoubleMatrix::vectorProduct(), LAP_DoublePackedSymmetricMatrix::vectorProduct(), LAP_DoubleBandedSymmetricMatrix::vectorProduct(), vectorProduct(), and LAP_DoubleFullGeneralMatrix::vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct	(	const LAP_DoubleVector &	X,
		LAP_DoubleVector &	Y
	)		const

inlinevirtualinherited

compute Y= This. X

Parameters

X	input vector
Y	output vector

Reimplemented in LAP_DoubleFullGeneralMatrix, and LAP_DoubleFullUpperMatrix.

References LAP_DoubleMatrix::vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct	(	SPC::LAP_DoubleVector &	X,
		SP::LAP_DoubleVector &	Y
	)		const

inlinevirtualinherited

rcompute Y= This X

Parameters

X	input vector
Y	output vector

References null, and LAP_DoubleMatrix::vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct	(	const tBoolean &	isTrans,
		const LAP_DoubleVector &	X,
		LAP_DoubleVector &	Y
	)		const

inlinevirtualinherited

compute Y= op(This). X

Parameters

isTrans	: if (isTrans) op(A)=A else pop(A)=tA
X	: input vector
Y	: output vector

Reimplemented in LAP_DoubleFullUpperMatrix, and LAP_DoublePackedUpperMatrix.

References LAP_Matrix::getColumnsNumber(), LAP_Vector< T >::getIncrement(), LAP_Matrix::getRowsNumber(), LAP_Vector< T >::getSize(), LAP_Vector< T >::setSize(), tLVectorIndex, and LAP_DoubleMatrix::vectorProduct().

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virtual void LAP_DoubleMatrix::vectorProduct	(	const tBoolean &	isTrans,
		const tLVectorIndex &	nX,
		const tLVectorIncrement &	incX,
		const double *	X,
		const double &	alpha,
		const double &	beta,
		const tLVectorIndex &	nY,
		const tLVectorIncrement &	incY,
		double *	Y
	)		const

pure virtualinherited

compute Y= beta Y + alpha op(This). X with op(A)=A or tA depending on isTrans value

Parameters

isTrans	: if (isTrans) op(A)=A else pop(A)=tA
nX	size of X
incX	increment of X (memory distance between X(i) & X(i+1)
X	X values of minimum size nX*incX
nY	size of Y
incY	increment of Y (memory distance between Y(i) & Y(i+1)
Y	Y values of minimum size nY*incY

Implemented in LAP_DoubleFullUpperMatrix, LAP_DoubleBandedUpperMatrix, and LAP_DoublePackedUpperMatrix.

virtual void LAP_DoubleFullSymmetricMatrix::vectorProduct	(	const LAP_DoubleVector &	X,
		LAP_DoubleVector &	Y
	)

inlinevirtual

compute Y=A.X

References LAP_DoubleMatrix::vectorProduct().

Referenced by vectorProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::vectorProduct	(	const LAP_DoubleVector &	X,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		LAP_DoubleVector &	Y
	)		const

inlinevirtual

compute Y:=betaY+alpha.This.X

Parameters

X	vector X of size number of cols of this
alpha	value of alpha
beta	: value of beta
Y	: vector Y of size number of rows of this

References LAP_Vector< T >::getIncrement(), getRowsNumber(), LAP_Vector< T >::getSize(), LAP_Vector< T >::setSize(), tLVectorIndex, and vectorProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::vectorProduct	(	const LAP_ConstDoubleVector &	X,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		LAP_DoubleVector &	Y
	)		const

inlinevirtual

compute Y:=betaY+alpha.This.X

Parameters

X	vector X of size number of cols of this
alpha	value of alpha
beta	: value of beta
Y	: vector Y of size number of rows of this

References LAP_ConstVector< T >::getIncrement(), LAP_Vector< T >::getIncrement(), getRowsNumber(), LAP_ConstVector< T >::getSize(), LAP_Vector< T >::getSize(), LAP_Vector< T >::setSize(), tLVectorIndex, and vectorProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::vectorProduct	(	const tBoolean &	isTrans,
		const tLVectorIndex &	nX,
		const tLVectorIncrement &	incX,
		const double *	X,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		const tLVectorIndex &	nY,
		const tLVectorIncrement &	incY,
		double *	Y
	)		const

inlinevirtual

compute Y= op(This). X with op(A)=A or tA depending on isTrans value

Parameters

isTrans	: if (isTrans) op(A)=A else pop(A)=tA
nX	size of X
incX	increment of X (memory distance between X(i) & X(i+1)
X	X values of minimum size nX*incX
nY	size of Y
incY	increment of Y (memory distance between Y(i) & Y(i+1)
Y	Y values of minimum size nY*incY

References vectorProduct().

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virtual void LAP_DoubleFullSymmetricMatrix::vectorProduct	(	const tLVectorIndex &	nx,
		const tLVectorIncrement &	incx,
		const double *	x,
		const lapack_real &	alpha,
		const lapack_real &	beta,
		const tLVectorIndex &	ny,
		const tLVectorIncrement &	incy,
		double *	y
	)		const

inlinevirtual

compute Y= betaY + alpha. This. X

Parameters

nX	size of X
incX	increment of X (memory distance between X(i) & X(i+1)
X	X values of minimum size nX*incX
alpha	alpha value
beta:beta	value
nY	size of Y
incY	increment of Y (memory distance between Y(i) & Y(i+1)
Y	Y values of minimum size nY*incY