Implements sparce symmetric matrix using a linked list of elements. Matrix. More...

#include <pzespmat.h>

Inheritance diagram for TPZSSpMatrix< TVar >:

Collaboration diagram for TPZSSpMatrix< TVar >:

Public Member Functions
	TPZSSpMatrix ()

	TPZSSpMatrix (const int64_t dim)

	TPZSSpMatrix (const TPZSSpMatrix< TVar > &)

int	PutVal (const int64_t row, const int64_t col, const TVar &element)
	Put values without bounds checking This method is faster than "Put" if DEBUG is defined. More...

const TVar &	GetVal (const int64_t row, const int64_t col) const
	Get values without bounds checking This method is faster than "Get" if DEBUG is defined. More...

int	Resize (const int64_t newDim, const int64_t)
	Resize the array but keeps its entirety. More...

int	Redim (const int64_t newDim)
	Resize the array and resets its entirety. More...

int	Redim (const int64_t newDim, const int64_t)
	Redimensions the matrix reinitializing it with zero. More...

int	Zero ()
	Zeroes the matrix. More...


TPZSSpMatrix &	operator= (const TPZSSpMatrix< TVar > &A)
	Operators with SYMMETRIC sparse matrices. More...

TPZSSpMatrix	operator+ (const TPZSSpMatrix< TVar > &A) const

TPZSSpMatrix	operator- (const TPZSSpMatrix< TVar > &A) const

TPZSSpMatrix &	operator+= (const TPZSSpMatrix< TVar > &A)

TPZSSpMatrix &	operator-= (const TPZSSpMatrix< TVar > &A)


TPZSpMatrix< TVar >	operator+ (const TPZSpMatrix< TVar > &A) const
	Operators with Generic matrices. More...

TPZSpMatrix< TVar >	operator- (const TPZSpMatrix< TVar > &A) const


TPZSSpMatrix	operator* (const TVar v) const
	Operators with numeric values. More...

TPZSSpMatrix &	operator*= (const TVar v)


int	Decompose_Cholesky ()
	Decomposes the current matrix using Cholesky method. The current matrix has to be symmetric. More...

int	Decompose_LDLt ()
	Decomposes the current matrix using LDLt. More...

int	Decompose_Cholesky (std::list< int64_t > &singular)
	Decomposes the current matrix using Cholesky method. More...

int	Decompose_LDLt (std::list< int64_t > &singular)
	Decomposes the current matrix using LDLt. The current matrix has to be symmetric. "L" is lower triangular with 1.0 in its diagonal and "D" is a Diagonal matrix. More...

int	Subst_Forward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is lower triangular. More...

int	Subst_LForward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is lower triangular with A(i,i)=1. More...

int	Subst_Diag (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is diagonal matrix. More...

Public Member Functions inherited from TPZMatrix< TVar >
	TPZMatrix ()
	Simple constructor. More...

	TPZMatrix (const TPZMatrix< TVar > &cp)

virtual	~TPZMatrix ()
	Simple destructor. More...

virtual TPZMatrix< TVar > *	Clone () const =0

virtual int64_t	MemoryFootprint () const
	Returns the approximate size of the memory footprint (amount of memory required to store this object). More...

template<class TVar2 >
void	CopyFrom (TPZMatrix< TVar2 > &copy)

void	AutoFill (int64_t nrow, int64_t ncol, int symmetric)
	Fill matrix storage with randomic values. More...

virtual int	VerifySymmetry (REAL tol=1.e-13) const
	Checks if current matrix value is symmetric. More...

virtual int	Put (const int64_t row, const int64_t col, const TVar &value)
	Put values with bounds checking if DEBUG variable is defined. More...

virtual const TVar &	Get (const int64_t row, const int64_t col) const
	Get value with bound checking. More...

const TVar &	g (const int64_t row, const int64_t col) const
	Substitution for the () operator when const arguments are needed. More...

TVar &	operator() (const int64_t row, const int64_t col)
	The operators check on the bounds if the DEBUG variable is defined. More...

virtual TVar &	s (const int64_t row, const int64_t col)
	The operators check on the bounds if the DEBUG variable is defined. More...

TVar &	operator() (const int64_t row)
	The operators check on the bounds if the DEBUG variable is defined. More...

virtual void	AddKel (TPZFMatrix< TVar > &elmat, TPZVec< int64_t > &destinationindex)
	Add a contribution of a stiffness matrix. More...

virtual void	AddKel (TPZFMatrix< TVar > &elmat, TPZVec< int64_t > &sourceindex, TPZVec< int64_t > &destinationindex)
	Add a contribution of a stiffness matrix. More...

void	SetIsDecomposed (int val)
	Sets current matrix to decomposed state. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) override
	Compare the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const override
	Compare the object for identity with the object pointed to, eventually copy the object. More...

virtual void	GetSub (const TPZVec< int64_t > &indices, TPZFMatrix< TVar > &block) const
	Extract the block indicated by the indices from the matrix. More...

bool	CompareValues (TPZMatrix< TVar > &M, TVar tol)
	Compare values of this to B, with a precision tolerance tol. More...

template<>
void	Print (const char *name, std::ostream &out, const MatrixOutputFormat form) const

template<>
void	Print (const char *name, std::ostream &out, const MatrixOutputFormat form) const

template<>
void	Print (const char *name, std::ostream &out, const MatrixOutputFormat form) const

template<>
void	SolveCG (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveCG (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveCG (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveGMRES (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, TPZFMatrix< std::complex< float > > &H, int &numvectors, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveGMRES (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, TPZFMatrix< std::complex< double > > &H, int &numvectors, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveGMRES (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, TPZFMatrix< std::complex< long double > > &H, int &numvectors, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveBICG (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, REAL &tol)

template<>
void	SolveBICG (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, REAL &tol)

template<>
void	SolveBICG (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, REAL &tol)

template<>
void	SolveBICGStab (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveBICGStab (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveBICGStab (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveIR (int64_t &numiterations, TPZSolver< std::complex< float > > &preconditioner, const TPZFMatrix< std::complex< float > > &F, TPZFMatrix< std::complex< float > > &result, TPZFMatrix< std::complex< float > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveIR (int64_t &numiterations, TPZSolver< std::complex< double > > &preconditioner, const TPZFMatrix< std::complex< double > > &F, TPZFMatrix< std::complex< double > > &result, TPZFMatrix< std::complex< double > > *residual, REAL &tol, const int FromCurrent)

template<>
void	SolveIR (int64_t &numiterations, TPZSolver< std::complex< long double > > &preconditioner, const TPZFMatrix< std::complex< long double > > &F, TPZFMatrix< std::complex< long double > > &result, TPZFMatrix< std::complex< long double > > *residual, REAL &tol, const int FromCurrent)

template<>
bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< std::complex< float > > *Sort)

template<>
bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< std::complex< double > > *Sort)

template<>
bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< std::complex< long double > > *Sort)

virtual void	Multiply (const TPZFMatrix< TVar > &A, TPZFMatrix< TVar > &res, int opt=0) const
	It mutiplies itself by TPZMatrix<TVar>A putting the result in res. More...

virtual void	Add (const TPZMatrix< TVar > &A, TPZMatrix< TVar > &res) const
	It adds itself to TPZMatrix<TVar>A putting the result in res. More...

virtual void	MultAdd (const TPZFMatrix< TVar > &x, const TPZFMatrix< TVar > &y, TPZFMatrix< TVar > &z, const TVar alpha=1., const TVar beta=0., const int opt=0) const
	It computes z = beta * y + alpha * opt(this)*x but z and x can not overlap in memory. More...

virtual void	Residual (const TPZFMatrix< TVar > &x, const TPZFMatrix< TVar > &rhs, TPZFMatrix< TVar > &res)
	Computes res = rhs - this * x. More...

virtual void	Substract (const TPZMatrix< TVar > &A, TPZMatrix< TVar > &result) const
	It substracts A from storing the result in result. More...

virtual void	Identity ()
	Converts the matrix in an identity matrix. More...

virtual void	Transpose (TPZMatrix< TVar > *const T) const
	It makes *T the transpose of current matrix. More...

int	Inverse (TPZFMatrix< TVar > &Inv, DecomposeType dec)
	It makes Inv =[this]. IMPORTANT OBSERVATION –> The original matrix (calling object) no is more equal. It containts the some decomposition (LU or Cholesky or ...) More...

TVar	MatrixNorm (int p, int64_t numiter=2000000, REAL tol=1.e-10) const
	Computes the matrix norm of this. More...

TVar	ConditionNumber (int p, int64_t numiter=2000000, REAL tol=1.e-10)
	Computes the matrix condition number of this. More...

virtual int	PutSub (const int64_t sRow, const int64_t sCol, const TPZFMatrix< TVar > &Source)
	It puts submatrix Source on actual matrix structure. More...

virtual int	GetSub (const int64_t sRow, const int64_t sCol, const int64_t rowSize, const int64_t colSize, TPZFMatrix< TVar > &Target) const
	Gets submatrix storing it on Target. More...

virtual int	AddSub (const int64_t sRow, const int64_t sCol, const TPZFMatrix< TVar > &Source)
	It adds Source matrix on current matrix from position (sRow, sCol) More...

virtual int	InsertSub (const int64_t sRow, const int64_t sCol, const int64_t rowSize, const int64_t colSize, const int64_t pRow, const int64_t pCol, TPZMatrix< TVar > *Target) const
	Inserts a submatrix from current object on matrix *Target with no redimentioning. More...

virtual int	AddSub (const int64_t sRow, const int64_t sCol, const int64_t rowSize, const int64_t colSize, const int64_t pRow, const int64_t pCol, TPZMatrix< TVar > *pA) const
	Adds a submatrix from current object in *Target. More...

virtual void	UpdateFrom (TPZAutoPointer< TPZMatrix< TVar > >)
	Updates the values of the matrix based on the values of the matrix. More...

virtual int	IsSimetric () const
	Checks if the current matrix is symmetric. More...

int	IsSquare () const
	Checks if current matrix is square. More...

virtual void	Simetrize ()
	Simetrizes copies upper plan to the lower plan, making its data simetric. More...

virtual int	IsDefPositive () const
	Checks if current matrix is definite positive. More...

int	IsDecomposed () const
	Checks if current matrix is already decomposed. More...

virtual int	Decompose_LU (std::list< int64_t > &singular)
	Decomposes the current matrix using LU decomposition. More...

virtual int	Decompose_LU ()

virtual int	Substitution (TPZFMatrix< TVar > *B) const
	Computes Forward and Backward substitution for a "LU" decomposed matrix. More...

virtual int	Subst_Backward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is upper triangular. More...

virtual int	Subst_LBackward (TPZFMatrix< TVar > *b) const
	Computes B = Y, where A*Y = B, A is upper triangular with A(i,i)=1. More...

int	ClassId () const override
	Define the class id associated with the class. More...

void	Read (TPZStream &buf, void *context) override
	Unpacks the object structure from a stream of bytes. More...

void	Write (TPZStream &buf, int withclassid) const override
	Packs the object structure in a stream of bytes. More...

virtual void	Input (std::istream &in=std::cin)
	Input operation. More...

virtual void	Print (std::ostream &out) const

virtual void	Print (const char *name, std::ostream &out=std::cout, const MatrixOutputFormat form=EFormatted) const
	It prints the matrix data in a MatrixFormat Rows X Cols. More...

int64_t	Rows () const
	Returns number of rows. More...

int64_t	Cols () const
	Returns number of cols. More...

virtual int64_t	Dim () const
	Returns the dimension of the matrix if the matrix is square. More...

virtual void	SolveJacobi (int64_t &numiterations, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, TPZFMatrix< TVar > &scratch, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Jacobi method. . More...

virtual void	SolveSOR (int64_t &numiterations, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, TPZFMatrix< TVar > &scratch, const REAL overrelax, REAL &tol, const int FromCurrent=0, const int direction=1)
	Solves the linear system using Successive Over Relaxation method (Gauss Seidel). . More...

virtual void	SolveSSOR (int64_t &numiterations, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, TPZFMatrix< TVar > &scratch, const REAL overrelax, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Symmetric Successive Over Relaxation method (Gauss Seidel). . More...

virtual void	SolveCG (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Conjugate Gradient method. . More...

virtual void	SolveBICG (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, REAL &tol)
	Solves the linear system using Bi-Conjugate Gradient method. . More...

virtual void	SolveBICGStab (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent=0)
	Solves the linear system using Bi-Conjugate Gradient stabilized method. . More...

virtual void	SolveGMRES (int64_t &numiterations, TPZSolver< TVar > &preconditioner, TPZFMatrix< TVar > &H, int &numvectors, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent)
	Solves the linear system using Generalized Minimal Residual (GMRES) method. . More...

virtual void	SolveIR (int64_t &numiterations, TPZSolver< TVar > &preconditioner, const TPZFMatrix< TVar > &F, TPZFMatrix< TVar > &result, TPZFMatrix< TVar > *residual, REAL &tol, const int FromCurrent=0)
	Solves the linear system using IR method. . More...

virtual bool	SolveEigenvaluesJacobi (int64_t &numiterations, REAL &tol, TPZVec< TVar > *Sort=0)
	Transforms this matrix in a diagonal matrix, where the diagonal values are its eigenvalues. This method is efficient only for small matrices. More...

virtual bool	SolveEigensystemJacobi (int64_t &numiterations, REAL &tol, TPZVec< TVar > &Eigenvalues, TPZFMatrix< TVar > &Eigenvectors) const
	Compute Eigenvalues and Eigenvectors of this matrix. This method is efficient only for small matrices. More...

virtual int	SolveDirect (TPZFMatrix< TVar > &F, const DecomposeType dt, std::list< int64_t > &singular)
	Solves the linear system using Direct methods. More...

virtual int	SolveDirect (TPZFMatrix< TVar > &F, const DecomposeType dt)
	Solves the linear system using Direct methods. More...

virtual int	Decompose (const DecomposeType dt, std::list< int64_t > &singular)
	decompose the system of equations acording to the decomposition scheme More...

int	Solve_LU (TPZFMatrix< TVar > *B, std::list< int64_t > &singular)
	Solves the linear system using LU method . More...

int	Solve_LU (TPZFMatrix< TVar > *B)
	Solves the linear system using LU method . More...

virtual int	Solve_Cholesky (TPZFMatrix< TVar > *B)
	Solves the linear system using Cholesky method . More...

int	Solve_Cholesky (TPZFMatrix< TVar > *B, std::list< int64_t > &singular)
	Solves the linear system using Cholesky method . More...

int	Solve_LDLt (TPZFMatrix< TVar > *B, std::list< int64_t > &singular)
	Solves the linear system using LDLt method . More...

int	Solve_LDLt (TPZFMatrix< TVar > *B)
	Solves the linear system using LDLt method . More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Private Member Functions
TVar	ProdEsc (TPZLink< TPZSpMatrix< REAL >::TPZNode > row_i, TPZLink< TPZSpMatrix< REAL >::TPZNode > row_j, int64_t k)
	Calcula o produto escalar entre as linhas 'row_i' e 'row_j' usando apenas os elementos pertencentes 'a colunas menores que 'k'. More...

Private Attributes
TPZSpMatrix< TVar >	fMat

Additional Inherited Members
Static Public Member Functions inherited from TPZMatrix< TVar >
static int	Error (const char msg, const char msg2=0)
	Returns error messages. More...

static TVar	ReturnNearestValue (TVar val, TPZVec< TVar > &Vec, TVar tol)
	Retorna o valor mais proximo a "val" (exceto valores no intervalo -tol <= val <= +tol) contido no vetor Vec. More...

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Protected Member Functions inherited from TPZMatrix< TVar >
void	PrepareZ (const TPZFMatrix< TVar > &y, TPZFMatrix< TVar > &z, const TVar beta, const int opt) const
	Is an auxiliar method used by MultiplyAdd. More...

	TPZMatrix (const int64_t row, const int64_t col)
	Constructor. More...

virtual int	Clear ()
	It clears data structure. More...

Static Protected Member Functions inherited from TPZMatrix< TVar >
static void	Swap (int64_t a, int64_t b)
	Swaps contents of a in b and b in a. More...

Protected Attributes inherited from TPZMatrix< TVar >
int64_t	fRow
	Number of rows in matrix. More...

int64_t	fCol
	Number of cols in matrix. More...

char	fDecomposed
	Decomposition type used to decompose the current matrix. More...

char	fDefPositive
	Definite Posistiveness of current matrix. More...

Static Protected Attributes inherited from TPZMatrix< TVar >
static TVar	gZero
	Initializing value to static variable. More...

Detailed Description

template<class TVar>
class TPZSSpMatrix< TVar >

Implements sparce symmetric matrix using a linked list of elements. Matrix.

Definition at line 27 of file pzespmat.h.

Constructor & Destructor Documentation

◆ TPZSSpMatrix() [1/3]

template<class TVar>

TPZSSpMatrix< TVar >::TPZSSpMatrix ( )

inline

Definition at line 30 of file pzsespmat.h.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ TPZSSpMatrix() [2/3]

template<class TVar>

TPZSSpMatrix< TVar >::TPZSSpMatrix ( const int64_t dim )

inline

Definition at line 31 of file pzsespmat.h.

References CLONEDEF, TPZSSpMatrix< TVar >::GetVal(), TPZSSpMatrix< TVar >::operator*(), TPZSSpMatrix< TVar >::operator*=(), TPZSSpMatrix< TVar >::operator+(), TPZSSpMatrix< TVar >::operator+=(), TPZSSpMatrix< TVar >::operator-(), TPZSSpMatrix< TVar >::operator-=(), TPZSSpMatrix< TVar >::operator=(), TPZSSpMatrix< TVar >::PutVal(), and TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ TPZSSpMatrix() [3/3]

template<class TVar >

TPZSSpMatrix< TVar >::TPZSSpMatrix ( const TPZSSpMatrix< TVar > & A )

Definition at line 30 of file pzsespmat.cpp.

References TPZMatrix< TVar >::fDecomposed, and TPZMatrix< TVar >::fDefPositive.

Member Function Documentation

◆ Decompose_Cholesky() [1/2]

template<class TVar >

int TPZSSpMatrix< TVar >::Decompose_Cholesky ( )

virtual

Decomposes the current matrix using Cholesky method. The current matrix has to be symmetric.

Reimplemented from TPZMatrix< TVar >.

Definition at line 181 of file pzsespmat.cpp.

References TPZSpMatrix< TVar >::TPZNode::col, TPZMatrix< TVar >::Dim(), ECholesky, TPZSpMatrix< TVar >::TPZNode::elem, TPZMatrix< TVar >::Error(), TPZMatrix< TVar >::fDecomposed, TPZMatrix< TVar >::fDefPositive, TPZSSpMatrix< TVar >::fMat, TPZLink< ElemType >::Get(), TPZLink< ElemType >::Head(), TPZLink< ElemType >::Insert(), TPZLink< ElemType >::Next(), TPZSSpMatrix< TVar >::ProdEsc(), sqrt, and TPZLink< ElemType >::Update().

Referenced by TPZSSpMatrix< TVar >::Decompose_Cholesky(), and TPZSSpMatrix< TVar >::Zero().

◆ Decompose_Cholesky() [2/2]

template<class TVar >

int TPZSSpMatrix< TVar >::Decompose_Cholesky ( std::list< int64_t > & singular )

virtual

Decomposes the current matrix using Cholesky method.

Parameters

singular

Reimplemented from TPZMatrix< TVar >.

Definition at line 174 of file pzsespmat.cpp.

References TPZSSpMatrix< TVar >::Decompose_Cholesky().

◆ Decompose_LDLt() [1/2]

template<class TVar >

int TPZSSpMatrix< TVar >::Decompose_LDLt ( )

virtual

Decomposes the current matrix using LDLt.

Reimplemented from TPZMatrix< TVar >.

Definition at line 262 of file pzsespmat.cpp.

References TPZLink< ElemType >::Append(), TPZLink< ElemType >::Clear(), TPZSpMatrix< TVar >::TPZNode::col, TPZMatrix< TVar >::Dim(), ELDLt, TPZSpMatrix< TVar >::TPZNode::elem, TPZMatrix< TVar >::Error(), TPZMatrix< TVar >::fDecomposed, TPZMatrix< TVar >::fDefPositive, TPZSSpMatrix< TVar >::fMat, TPZLink< ElemType >::Get(), TPZSSpMatrix< TVar >::GetVal(), TPZLink< ElemType >::Head(), TPZLink< ElemType >::Insert(), IsZero(), TPZLink< ElemType >::Next(), TPZSSpMatrix< TVar >::ProdEsc(), and TPZLink< ElemType >::Update().

Referenced by TPZSSpMatrix< TVar >::Decompose_LDLt(), and TPZSSpMatrix< TVar >::Zero().

◆ Decompose_LDLt() [2/2]

template<class TVar >

int TPZSSpMatrix< TVar >::Decompose_LDLt ( std::list< int64_t > & singular )

virtual

Decomposes the current matrix using LDLt.
The current matrix has to be symmetric. "L" is lower triangular with 1.0 in its diagonal and "D" is a Diagonal matrix.

Reimplemented from TPZMatrix< TVar >.

Definition at line 255 of file pzsespmat.cpp.

References TPZSSpMatrix< TVar >::Decompose_LDLt().

◆ GetVal()

template<class TVar >

const TVar & TPZSSpMatrix< TVar >::GetVal	(	const int64_t	,
		const int64_t
	)		const

inlinevirtual

Get values without bounds checking
This method is faster than "Get" if DEBUG is defined.

Reimplemented from TPZMatrix< TVar >.

Definition at line 144 of file pzsespmat.h.

References TPZSSpMatrix< TVar >::fMat, and TPZMatrix< TVar >::Swap().

Referenced by TPZSSpMatrix< TVar >::Decompose_LDLt(), and TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ operator*()

template<class TVar >

TPZSSpMatrix< TVar > TPZSSpMatrix< TVar >::operator* ( const TVar v ) const

Operators with numeric values.

Definition at line 144 of file pzsespmat.cpp.

References TPZSSpMatrix< TVar >::fMat, and test::res.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ operator*=()

template<class TVar >

TPZSSpMatrix< TVar > & TPZSSpMatrix< TVar >::operator*= ( const TVar v )

Definition at line 159 of file pzsespmat.cpp.

References TPZMatrix< TVar >::fDecomposed, and TPZSSpMatrix< TVar >::fMat.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ operator+() [1/2]

template<class TVar >

TPZSSpMatrix< TVar > TPZSSpMatrix< TVar >::operator+ ( const TPZSSpMatrix< TVar > & A ) const

Definition at line 61 of file pzsespmat.cpp.

References TPZMatrix< TVar >::Dim(), TPZSSpMatrix< TVar >::fMat, and test::res.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ operator+() [2/2]

template<class TVar>

TPZSpMatrix<TVar> TPZSSpMatrix< TVar >::operator+ ( const TPZSpMatrix< TVar > & A ) const

Operators with Generic matrices.

◆ operator+=()

template<class TVar >

TPZSSpMatrix< TVar > & TPZSSpMatrix< TVar >::operator+= ( const TPZSSpMatrix< TVar > & A )

Definition at line 94 of file pzsespmat.cpp.

References TPZMatrix< TVar >::Dim(), TPZMatrix< TVar >::fDecomposed, and TPZSSpMatrix< TVar >::fMat.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ operator-() [1/2]

template<class TVar >

TPZSSpMatrix< TVar > TPZSSpMatrix< TVar >::operator- ( const TPZSSpMatrix< TVar > & A ) const

Definition at line 77 of file pzsespmat.cpp.

References TPZMatrix< TVar >::Dim(), TPZSSpMatrix< TVar >::fMat, and test::res.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ operator-() [2/2]

template<class TVar>

TPZSpMatrix<TVar> TPZSSpMatrix< TVar >::operator- ( const TPZSpMatrix< TVar > & A ) const

◆ operator-=()

template<class TVar >

TPZSSpMatrix< TVar > & TPZSSpMatrix< TVar >::operator-= ( const TPZSSpMatrix< TVar > & A )

Definition at line 111 of file pzsespmat.cpp.

References TPZMatrix< TVar >::Dim(), TPZMatrix< TVar >::fDecomposed, and TPZSSpMatrix< TVar >::fMat.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ operator=()

template<class TVar >

TPZSSpMatrix< TVar > & TPZSSpMatrix< TVar >::operator= ( const TPZSSpMatrix< TVar > & A )

Operators with SYMMETRIC sparse matrices.

Definition at line 45 of file pzsespmat.cpp.

References TPZMatrix< TVar >::Dim(), TPZMatrix< TVar >::fCol, TPZMatrix< TVar >::fDecomposed, TPZMatrix< TVar >::fDefPositive, TPZSSpMatrix< TVar >::fMat, and TPZMatrix< TVar >::fRow.

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ ProdEsc()

template<class TVar >

TVar TPZSSpMatrix< TVar >::ProdEsc	(	TPZLink< TPZSpMatrix< REAL >::TPZNode > *	row_i,
		TPZLink< TPZSpMatrix< REAL >::TPZNode > *	row_j,
		int64_t	k
	)

private

Calcula o produto escalar entre as linhas 'row_i' e 'row_j' usando apenas os elementos pertencentes 'a colunas menores que 'k'.

Ao retornar, as linhas 'row_i' e 'row_j' estarao posicionadas no elemento de coluna 'k' (ou onde ele deveria estar).

Definition at line 478 of file pzsespmat.cpp.

References TPZSpMatrix< TVar >::TPZNode::col, TPZSavable::CreateInstance(), DebugStop, TPZSpMatrix< TVar >::TPZNode::elem, TPZSSpMatrix< TVar >::fMat, and m.

Referenced by TPZSSpMatrix< TVar >::Decompose_Cholesky(), TPZSSpMatrix< TVar >::Decompose_LDLt(), and TPZSSpMatrix< TVar >::Zero().

◆ PutVal()

template<class TVar >

int TPZSSpMatrix< TVar >::PutVal	(	const int64_t	,
		const int64_t	,
		const TVar &	val
	)

inlinevirtual

Put values without bounds checking
This method is faster than "Put" if DEBUG is defined.

Reimplemented from TPZMatrix< TVar >.

Definition at line 124 of file pzsespmat.h.

References TPZMatrix< TVar >::fDecomposed, TPZSSpMatrix< TVar >::fMat, and TPZMatrix< TVar >::Swap().

Referenced by TPZSSpMatrix< TVar >::TPZSSpMatrix().

◆ Redim() [1/2]

template<class TVar>

int TPZSSpMatrix< TVar >::Redim ( const int64_t newDim )

inline

Resize the array and resets its entirety.

Definition at line 65 of file pzsespmat.h.

References TPZSSpMatrix< TVar >::Redim().

Referenced by TPZSSpMatrix< TVar >::Redim().

◆ Redim() [2/2]

template<class TVar>

int TPZSSpMatrix< TVar >::Redim	(	const int64_t	newRows,
		const int64_t	newCols
	)

inlinevirtual

Redimensions the matrix reinitializing it with zero.

Parameters

newRows	Specifies the new number of rows in matrix.
newCols	Specifies the new number of Columns in matrix.

Reimplemented from TPZMatrix< TVar >.

Definition at line 66 of file pzsespmat.h.

References TPZMatrix< TVar >::fCol, TPZSSpMatrix< TVar >::fMat, and TPZMatrix< TVar >::fRow.

◆ Resize()

template<class TVar>

int TPZSSpMatrix< TVar >::Resize	(	const int64_t	newDim,
		const int64_t
	)

inlinevirtual

Resize the array but keeps its entirety.

Reimplemented from TPZMatrix< TVar >.

Definition at line 61 of file pzsespmat.h.

References TPZMatrix< TVar >::fCol, TPZSSpMatrix< TVar >::fMat, and TPZMatrix< TVar >::fRow.

◆ Subst_Diag()

template<class TVar >

int TPZSSpMatrix< TVar >::Subst_Diag ( TPZFMatrix< TVar > * b ) const

virtual

Computes B = Y, where A*Y = B, A is diagonal matrix.

Parameters

b	right hand side and result after all

Reimplemented from TPZMatrix< TVar >.

Definition at line 431 of file pzsespmat.cpp.

References TPZMatrix< TVar >::Cols(), TPZMatrix< TVar >::Dim(), TPZSpMatrix< TVar >::TPZNode::elem, TPZMatrix< TVar >::fDecomposed, TPZSSpMatrix< TVar >::fMat, TPZLink< ElemType >::GetLast(), TPZFMatrix< TVar >::GetVal(), TPZFMatrix< TVar >::PutVal(), and TPZMatrix< TVar >::Rows().

Referenced by TPZSSpMatrix< TVar >::Zero().

◆ Subst_Forward()

template<class TVar >

int TPZSSpMatrix< TVar >::Subst_Forward ( TPZFMatrix< TVar > * b ) const

virtual

Computes B = Y, where A*Y = B, A is lower triangular.

Parameters

b	right hand side and result after all

Reimplemented from TPZMatrix< TVar >.

Definition at line 357 of file pzsespmat.cpp.

References TPZSpMatrix< TVar >::TPZNode::col, TPZMatrix< TVar >::Cols(), TPZMatrix< TVar >::Dim(), TPZSpMatrix< TVar >::TPZNode::elem, TPZMatrix< TVar >::fDecomposed, TPZSSpMatrix< TVar >::fMat, TPZLink< ElemType >::Get(), TPZFMatrix< TVar >::GetVal(), TPZLink< ElemType >::Head(), TPZLink< ElemType >::Next(), TPZFMatrix< TVar >::PutVal(), and TPZMatrix< TVar >::Rows().

Referenced by TPZSSpMatrix< TVar >::Zero().

◆ Subst_LForward()

template<class TVar >

int TPZSSpMatrix< TVar >::Subst_LForward ( TPZFMatrix< TVar > * b ) const

virtual

Computes B = Y, where A*Y = B, A is lower triangular with A(i,i)=1.

Parameters

b	right hand side and result after all

Reimplemented from TPZMatrix< TVar >.

Definition at line 397 of file pzsespmat.cpp.

References TPZSpMatrix< TVar >::TPZNode::col, TPZMatrix< TVar >::Cols(), TPZMatrix< TVar >::Dim(), TPZSpMatrix< TVar >::TPZNode::elem, TPZMatrix< TVar >::fDecomposed, TPZSSpMatrix< TVar >::fMat, TPZLink< ElemType >::Get(), TPZFMatrix< TVar >::GetVal(), TPZLink< ElemType >::Head(), TPZLink< ElemType >::Next(), TPZFMatrix< TVar >::PutVal(), and TPZMatrix< TVar >::Rows().

Referenced by TPZSSpMatrix< TVar >::Zero().

◆ Zero()

template<class TVar>

int TPZSSpMatrix< TVar >::Zero ( )

inlinevirtual

Zeroes the matrix.

Reimplemented from TPZMatrix< TVar >.

Definition at line 70 of file pzsespmat.h.

References TPZSavable::CreateInstance(), TPZSSpMatrix< TVar >::Decompose_Cholesky(), TPZSSpMatrix< TVar >::Decompose_LDLt(), TPZSSpMatrix< TVar >::fMat, TPZSSpMatrix< TVar >::ProdEsc(), TPZSSpMatrix< TVar >::Subst_Diag(), TPZSSpMatrix< TVar >::Subst_Forward(), and TPZSSpMatrix< TVar >::Subst_LForward().

Member Data Documentation

◆ fMat

template<class TVar>

TPZSpMatrix<TVar> TPZSSpMatrix< TVar >::fMat

private

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

Matrix/pzespmat.h
Matrix/pzsespmat.h
Matrix/pzsespmat.cpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class TVar> class TPZSSpMatrix< TVar >

Constructor & Destructor Documentation

◆ TPZSSpMatrix() [1/3]

◆ TPZSSpMatrix() [2/3]

◆ TPZSSpMatrix() [3/3]

Member Function Documentation

◆ Decompose_Cholesky() [1/2]

◆ Decompose_Cholesky() [2/2]

◆ Decompose_LDLt() [1/2]

◆ Decompose_LDLt() [2/2]

◆ GetVal()

◆ operator*()

◆ operator*=()

◆ operator+() [1/2]

◆ operator+() [2/2]

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator=()

◆ ProdEsc()

◆ PutVal()

◆ Redim() [1/2]

◆ Redim() [2/2]

◆ Resize()

◆ Subst_Diag()

◆ Subst_Forward()

◆ Subst_LForward()

◆ Zero()

Member Data Documentation

◆ fMat

template<class TVar>
class TPZSSpMatrix< TVar >