Root matrix class (abstract). Matrix. More...

#include <pzmatrix.h>

Inheritance diagram for TPZMatrix< TVar >:

Collaboration diagram for TPZMatrix< TVar >:

Public Member Functions
	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 int	PutVal (const int64_t, const int64_t, const TVar &val)
	Put values without bounds checking This method is faster than "Put" if DEBUG is defined. More...

virtual const TVar &	GetVal (const int64_t, const int64_t) const
	Get values without bounds checking This method is faster than "Get" if DEBUG 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)

Algebraic
Implements algebraic operations with matrices
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...

SubMatrices
Operations with SUB MATRICES.
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...

Inquire
Returns information of the current object
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...

Factorization
Those member functions perform the matrix factorization
virtual int	Decompose_LU (std::list< int64_t > &singular)
	Decomposes the current matrix using LU decomposition. More...

virtual int	Decompose_LU ()

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

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

virtual 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...

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

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

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

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

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

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

TPZSavable
Methods which would make TPZMatrix<TVar>compliant with TPZSavable
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...

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

Static Public Member Functions
static int	Error (const char msg, const char msg2=0)
	Returns error messages. 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
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
static void	Swap (int64_t a, int64_t b)
	Swaps contents of a in b and b in a. More...

Protected Attributes
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
static TVar	gZero
	Initializing value to static variable. More...

Generic
Performs generic operations on matrices
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 int	Resize (const int64_t newRows, const int64_t newCols)
	Redimensions a matriz keeping the previous values. More...

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

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

template<class TT >
std::istream &	operator>> (std::istream &in, TPZMatrix< TT > &A)
	Input operation. More...

Solvers
Linear system solvers.
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...

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...

Detailed Description

template<class TVar = REAL>
class TPZMatrix< TVar >

Root matrix class (abstract). Matrix.

Abstract class TPZMatrix<TVar>which defines interface of derived matrix classes.

Definition at line 60 of file pzmatrix.h.

Constructor & Destructor Documentation

◆ TPZMatrix() [1/3]

template<class TVar = REAL>

TPZMatrix< TVar >::TPZMatrix ( )

inline

Simple constructor.

Definition at line 67 of file pzmatrix.h.

◆ TPZMatrix() [2/3]

template<class TVar = REAL>

TPZMatrix< TVar >::TPZMatrix ( const TPZMatrix< TVar > & cp )

inline

Definition at line 74 of file pzmatrix.h.

◆ ~TPZMatrix()

template<class TVar >

TPZMatrix< TVar >::~TPZMatrix ( )

virtual

Simple destructor.

Definition at line 43 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::TPZMatrix().

◆ TPZMatrix() [3/3]

template<class TVar = REAL>

TPZMatrix< TVar >::TPZMatrix	(	const int64_t	row,
		const int64_t	col
	)

inlineprotected

Constructor.

Parameters

row	Number of rows
col	Number of cols

Definition at line 761 of file pzmatrix.h.

Member Function Documentation

◆ Add()

template<class TVar>

void TPZMatrix< TVar >::Add	(	const TPZMatrix< TVar > &	A,
		TPZMatrix< TVar > &	res
	)		const

virtual

It adds itself to TPZMatrix<TVar>A putting the result in res.

Parameters

A	TPZMatrix<TVar>to added to current matrix
res	Contains the result

Definition at line 64 of file pzmatrix.cpp.

Referenced by TPZDohrSubstruct< TVar >::Contribute_v2_local(), operator+(), TPZMatrix< STATE >::PutVal(), and TPZDohrSubstruct< TVar >::SolveSystemZi().

◆ AddKel() [1/2]

template<class TVar>

void TPZMatrix< TVar >::AddKel	(	TPZFMatrix< TVar > &	elmat,
		TPZVec< int64_t > &	destinationindex
	)

virtual

Add a contribution of a stiffness matrix.

Parameters

elmat	Element matrix to be contributed
destinationindex	Contains destine indexes on current matrix

Reimplemented in TPZFYsmpMatrix< TVar >, TPZFrontMatrix< TVar, store, front >, and TPZParFrontMatrix< TVar, store, front >.

Definition at line 506 of file pzmatrix.cpp.

Referenced by TPZFrontStructMatrix< front >::AssembleElement(), TPZGradientReconstruction::AssembleGlobalMatrix(), TPZFrontStructMatrix< front >::AssembleNew(), TPZFrontMatrix< TVar, store, front >::Clone(), TPZStructMatrixST::ExecuteAssemble(), TPZStructMatrixGCTP::MultiThread_Assemble(), TPZStructMatrixGCTP::Serial_Assemble(), TPZStructMatrixGC::Serial_Assemble(), TPZStructMatrixCS::Serial_Assemble(), TPZStructMatrixOT::Serial_Assemble(), TPZStructMatrixOR::Serial_Assemble(), TPZPairStructMatrix::SerialAssemble(), TPZStructMatrixOR::ThreadData::ThreadAssembly(), TPZPairStructMatrix::ThreadData::ThreadAssembly1(), TPZPairStructMatrix::ThreadData::ThreadAssembly2(), TPZStructMatrixGC::ThreadData::ThreadWork(), TPZStructMatrixCS::ThreadData::ThreadWork(), TPZStructMatrixOT::ThreadData::ThreadWork(), TPZPairStructMatrix::TPZPairStructMatrix(), and TPZMatrix< STATE >::Zero().

◆ AddKel() [2/2]

template<class TVar>

void TPZMatrix< TVar >::AddKel	(	TPZFMatrix< TVar > &	elmat,
		TPZVec< int64_t > &	sourceindex,
		TPZVec< int64_t > &	destinationindex
	)

virtual

Add a contribution of a stiffness matrix.

Parameters

elmat	Element matrix to be contributed
sourceindex	Contains source indexes on current matrix
destinationindex	Contains destine indexes on current matrix

Reimplemented in TPZSkylMatrix< TVar >, TPZFYsmpMatrix< TVar >, TPZFrontMatrix< TVar, store, front >, and TPZParFrontMatrix< TVar, store, front >.

Definition at line 534 of file pzmatrix.cpp.

◆ AddSub() [1/2]

template<class TVar>

int TPZMatrix< TVar >::AddSub	(	const int64_t	sRow,
		const int64_t	sCol,
		const TPZFMatrix< TVar > &	Source
	)

virtual

It adds Source matrix on current matrix from position (sRow, sCol)

Parameters

sRow	Specifies starting row on current object
sCol	Specifies starting column on current object.
Source	The matrix to be added

Definition at line 625 of file pzmatrix.cpp.

Referenced by TPZMat1dLin::Contribute(), and TPZMatrix< STATE >::Zero().

◆ AddSub() [2/2]

template<class TVar>

int TPZMatrix< TVar >::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

virtual

Adds a submatrix from current object in *Target.

Parameters

sRow	Specifies starting row on current object
sCol	Specifies starting column on current object.
rowSize	Specifies the amount of rows from sRow
colSize	Specifies the amount of columns from sCol
pRow	Specifies starting row on pA
pCol	Specifies starting column on pA.
pA	The matrix to be added.

Definition at line 676 of file pzmatrix.cpp.

◆ AutoFill()

template<class TVar >

void TPZMatrix< TVar >::AutoFill	(	int64_t	nrow,
		int64_t	ncol,
		int	symmetric
	)

Fill matrix storage with randomic values.

This method use GetVal and PutVal which are implemented by each type matrices

Fill the matrix with random values (non singular matrix)

Fill data

Making diagonally dominant and non zero in diagonal

Definition at line 1960 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZFYsmpMatrix< TVar >::AutoFill(), and TPZMatrix< STATE >::CopyFrom().

◆ ClassId()

template<class TVar >

int TPZMatrix< TVar >::ClassId ( ) const

overridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Implements TPZSavable.

Reimplemented in TPZFNMatrix< 9, T >, TPZFNMatrix< 3, T >, TPZFNMatrix< 30, std::complex< double > >, TPZSkylMatrix< TVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZFYsmpMatrix< TVar >, TPZSYsmpMatrix< TVar >, TPZDohrMatrix< TVar, TSubStruct >, TPZSBMatrix< TVar >, TPZSkylNSymMatrix< TVar >, TPZSFMatrix< TVar >, TPZDohrPrecond< TVar, TSubStruct >, TPZVerySparseMatrix< TVar >, TPZSkylParMatrix< TVar >, TPZSparseBlockDiagonal< TVar >, and TPZTransfer< TVar >.

Definition at line 957 of file pzmatrix.h.

◆ Clear()

template<class TVar = REAL>

virtual int TPZMatrix< TVar >::Clear ( )

inlineprotectedvirtual

It clears data structure.

Reimplemented in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZSkylNSymMatrix< TVar >, TPZSpMatrix< TVar >, TPZSBMatrix< TVar >, TPZFBMatrix< TVar >, TPZSFMatrix< TVar >, TPZBlockDiagonal< TVar >, and TPZBlockDiagonal< STATE >.

Definition at line 774 of file pzmatrix.h.

◆ Clone()

template<class TVar = REAL>

virtual TPZMatrix<TVar>* TPZMatrix< TVar >::Clone ( ) const

pure virtual

Implemented in TPZFrontMatrix< TVar, store, front >, TPZParFrontMatrix< TVar, store, front >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrPrecond< TVar, TSubStruct >, and TPZTransfer< TVar >.

Referenced by main(), and TPZMatrix< STATE >::TPZMatrix().

◆ Cols()

template<class TVar >

int64_t TPZMatrix< TVar >::Cols ( ) const

inline

Returns number of cols.

Definition at line 809 of file pzmatrix.h.

◆ Compare() [1/2]

template<class TVar >

bool TPZMatrix< TVar >::Compare	(	TPZSavable *	copy,
		bool	override = `false`
	)

overridevirtual

Compare the object for identity with the object pointed to, eventually copy the object.

compare both objects bitwise for identity. Put an entry in the log file if different overwrite the calling object if the override flag is true

Reimplemented from TPZSavable.

Reimplemented in TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, and TPZFMatrix< STATE >.

Definition at line 1433 of file pzmatrix.cpp.

Referenced by TPZFMatrix< STATE >::Compare(), and TPZMatrix< STATE >::Decompose().

◆ Compare() [2/2]

template<class TVar >

bool TPZMatrix< TVar >::Compare	(	TPZSavable *	copy,
		bool	override = `false`
	)		const

overridevirtual

Compare the object for identity with the object pointed to, eventually copy the object.

compare both objects bitwise for identity. Put an entry in the log file if different overwrite the calling object if the override flag is true

Reimplemented from TPZSavable.

Reimplemented in TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, and TPZFMatrix< STATE >.

Definition at line 1458 of file pzmatrix.cpp.

◆ CompareValues()

template<class TVar>

bool TPZMatrix< TVar >::CompareValues	(	TPZMatrix< TVar > &	M,
		TVar	tol
	)

Compare values of this to B, with a precision tolerance tol.

Definition at line 1532 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::Decompose(), and TPZMatrix< STATE >::VerifySymmetry().

◆ ConditionNumber()

template<class TVar >

TVar TPZMatrix< TVar >::ConditionNumber	(	int	p,
		int64_t	numiter = `2000000`,
		REAL	tol = `1.e-10`
	)

Computes the matrix condition number of this.

It is available p-norm = 1, 2 and infinity. p=1 is the maximum absolute column sum norm p=2 is the spectral norm wich is the square root of the maximum eigenvalue of Tranpose[this].this p=infinity is the maximum absolute row sum norm - p infinity is implemented with p = 0 These operations are defined on the website of the Mathematica software: http://mathworld.wolfram.com/MatrixNorm.html All norms require the computation of the inverse matrix. It has a high computational cost and a high memory requirement.

Definition at line 1902 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::PutVal().

◆ CopyFrom()

template<class TVar = REAL>

template<class TVar2 >

void TPZMatrix< TVar >::CopyFrom ( TPZMatrix< TVar2 > & copy )

inline

Definition at line 96 of file pzmatrix.h.

Referenced by TPZSFMatrix< TVar >::CopyFrom(), TPZFBMatrix< TVar >::CopyFrom(), TPZSBMatrix< TVar >::CopyFrom(), TPZFMatrix< STATE >::CopyFrom(), and TPZSkylMatrix< TVar >::CopyFrom().

◆ Decompose()

template<class TVar = REAL>

virtual int TPZMatrix< TVar >::Decompose	(	const DecomposeType	dt,
		std::list< int64_t > &	singular
	)

inlinevirtual

decompose the system of equations acording to the decomposition scheme

Definition at line 572 of file pzmatrix.h.

◆ Decompose_Cholesky() [1/2]

template<class TVar >

int TPZMatrix< TVar >::Decompose_Cholesky ( )

virtual

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

Reimplemented in TPZSkylMatrix< TVar >, TPZSkylMatrix< TVar >, TPZSkylMatrix< TVar >, TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZSFMatrix< TVar >, TPZSSpMatrix< TVar >, and TPZSkylParMatrix< TVar >.

Definition at line 1252 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::Decompose(), TPZSBMatrix< TVar >::GetBand(), TPZSYsmpMatrix< TVar >::JA(), TPZSBMatrix< TVar >::SetBand(), and TPZMatrix< STATE >::Solve_Cholesky().

◆ Decompose_Cholesky() [2/2]

template<class TVar >

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

virtual

Decomposes the current matrix using Cholesky method.

Parameters

singular

Reimplemented in TPZSkylMatrix< TVar >, TPZSkylMatrix< TVar >, TPZSkylMatrix< TVar >, TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZSFMatrix< TVar >, TPZSSpMatrix< TVar >, and TPZSkylParMatrix< TVar >.

Definition at line 1217 of file pzmatrix.cpp.

◆ Decompose_LDLt() [1/2]

template<class TVar >

int TPZMatrix< 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 in TPZSkylMatrix< TVar >, TPZSFMatrix< TVar >, TPZSBMatrix< TVar >, TPZSSpMatrix< TVar >, and TPZSkylParMatrix< TVar >.

Definition at line 1180 of file pzmatrix.cpp.

◆ Decompose_LDLt() [2/2]

template<class TVar >

int TPZMatrix< TVar >::Decompose_LDLt ( )

virtual

Decomposes the current matrix using LDLt.

Reimplemented in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZSFMatrix< TVar >, TPZSBMatrix< TVar >, TPZSSpMatrix< TVar >, and TPZSkylParMatrix< TVar >.

Definition at line 1184 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::Decompose(), TPZMatrix< STATE >::Decompose_LDLt(), TPZSYsmpMatrix< TVar >::JA(), and TPZMatrix< STATE >::Solve_LDLt().

◆ Decompose_LU() [1/2]

template<class TVar >

int TPZMatrix< TVar >::Decompose_LU ( std::list< int64_t > & singular )

virtual

Decomposes the current matrix using LU decomposition.

Reimplemented in TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZFYsmpMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, and TPZSpBlockDiagPivot< TVar >.

Definition at line 1122 of file pzmatrix.cpp.

◆ Decompose_LU() [2/2]

template<class TVar >

int TPZMatrix< TVar >::Decompose_LU ( )

virtual

Reimplemented in TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZFYsmpMatrix< TVar >, TPZSkylNSymMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, and TPZSpBlockDiagPivot< TVar >.

Definition at line 1126 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::Decompose(), TPZMatrix< STATE >::Decompose_LU(), TPZFBMatrix< TVar >::GetBand(), TPZMatrix< STATE >::Solve_LU(), and TPZFBMatrix< TVar >::Transpose().

◆ Dim()

template<class TVar >

int64_t TPZMatrix< TVar >::Dim ( ) const

inlinevirtual

Returns the dimension of the matrix if the matrix is square.

If the matrix is not square, returns an error

Reimplemented in TPZFBMatrix< TVar >, TPZBlockDiagonal< TVar >, and TPZBlockDiagonal< STATE >.

Definition at line 892 of file pzmatrix.h.

◆ Error()

template<class TVar >

int TPZMatrix< TVar >::Error	(	const char *	msg,
		const char *	msg2 = `0`
	)

static

Returns error messages.

Parameters

msg	First message.
msg2	Second message.

Definition at line 1402 of file pzmatrix.cpp.

◆ g()

template<class TVar = REAL>

const TVar& TPZMatrix< TVar >::g	(	const int64_t	row,
		const int64_t	col
	)		const

inline

Substitution for the () operator when const arguments are needed.

Parameters

row	Row number.
col	Column number.

Definition at line 131 of file pzmatrix.h.

◆ Get()

template<class TVar >

const TVar & TPZMatrix< TVar >::Get	(	const int64_t	row,
		const int64_t	col
	)		const

inlinevirtual

Get value with bound checking.

Parameters

row	Row number.
col	Column number.

Reimplemented in TPZSpMatrix< TVar >, TPZFBMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, and TPZSparseBlockDiagonal< TVar >.

Definition at line 855 of file pzmatrix.h.

Referenced by TPZMatrix< STATE >::CompareValues(), TPZDohrSubstruct< TVar >::ContributeKU(), TPZDohrSubstruct< TVar >::ContributeKULocal(), TPZMatrix< STATE >::CopyFrom(), TPZTensor< STATE >::CopyFrom(), TPZFMatrix< STATE >::Decompose_LU(), TPZMatrix< STATE >::g(), TPZMatrix< STATE >::MatrixNorm(), TPZSFMatrix< TVar >::operator+(), TPZSFMatrix< TVar >::operator+=(), TPZSFMatrix< TVar >::operator-(), TPZSFMatrix< TVar >::operator-=(), TPZSFMatrix< TVar >::operator=(), TPZFMatrix< STATE >::operator=(), operator>>(), TPZMatrix< STATE >::Print(), TPZMatrix< STATE >::SolveEigensystemJacobi(), TPZFMatrix< STATE >::Substitution(), and TPZMatrix< STATE >::VerifySymmetry().

◆ GetSub() [1/2]

template<class TVar>

int TPZMatrix< TVar >::GetSub	(	const int64_t	sRow,
		const int64_t	sCol,
		const int64_t	rowSize,
		const int64_t	colSize,
		TPZFMatrix< TVar > &	Target
	)		const

virtual

Gets submatrix storing it on Target.

Parameters

sRow	Specifies starting row on current object
sCol	Specifies starting column on current object.
rowSize	Specifies the amount of rows from sRow
colSize	Specifies the amount of columns from sCol
Target	The matrix to be aquired.

Reimplemented in TPZFYsmpMatrix< TVar >.

Definition at line 602 of file pzmatrix.cpp.

Referenced by TPZSparseBlockDiagonal< TVar >::BuildFromMatrix(), TPZInterpolationSpace::BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZCompElDisc::BuildTransferMatrix(), TPZCompElPostProc< TCOMPEL >::CalcResidual(), TPZDohrSubstruct< TVar >::ContributeTestV1(), TPZMatrix< STATE >::Decompose(), and TPZMatrix< STATE >::Zero().

◆ GetSub() [2/2]

template<class TVar>

void TPZMatrix< TVar >::GetSub	(	const TPZVec< int64_t > &	indices,
		TPZFMatrix< TVar > &	block
	)		const

virtual

Extract the block indicated by the indices from the matrix.

Reimplemented in TPZFYsmpMatrix< TVar >.

Definition at line 1478 of file pzmatrix.cpp.

◆ GetVal()

template<class TVar >

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

virtual

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

Reimplemented in TPZSkylMatrix< TVar >, TPZSBMatrix< TVar >, TPZSBMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZFYsmpMatrix< TVar >, TPZMatRed< TVar, TSideMatrix >, TPZMatRed< STATE, TPZFMatrix< STATE > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZMatRed< TTVar, TPZFMatrix< TTVar > >, TPZSpMatrix< TVar >, TPZFBMatrix< TVar >, TPZSkylNSymMatrix< TVar >, TPZSYsmpMatrix< TVar >, TPZVerySparseMatrix< TVar >, TPZSFMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, TPZSBMatrix< TVar >, TPZSSpMatrix< TVar >, and TPZSparseBlockDiagonal< TVar >.

Definition at line 56 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::Add(), TPZMatrix< STATE >::AddSub(), TPZBlockDiagonal< STATE >::BuildFromMatrix(), TPZMatrix< STATE >::Get(), TPZMatrix< STATE >::PutVal(), TPZMatrix< STATE >::Substract(), TPZFMatrix< STATE >::TPZFMatrix(), and TPZSFMatrix< TVar >::TPZSFMatrix().

◆ Identity()

template<class TVar >

void TPZMatrix< TVar >::Identity ( )

virtual

Converts the matrix in an identity matrix.

Definition at line 199 of file pzmatrix.cpp.

Referenced by TPZSBFemVolume::AdjustAxes3D(), TPZSBFemElementGroup::CalcStiff(), TPZMixedElasticityMaterial::FillVecShapeIndex(), pztopology::TPZPyramid::MapToSide(), pztopology::TPZPrism::MapToSide(), pztopology::TPZTetrahedron::MapToSide(), pztopology::TPZTriangle::MapToSide(), TPZYCMohrCoulombPV::ProjectSigma(), TPZSandlerExtended::ProjectSigma(), TPZYCCamClayPV::ProjectSigmaDep(), TPZYCDruckerPragerPV::ProjectSigmaDep(), TPZSandlerExtended::ProjectSigmaDep(), TPZMatrix< STATE >::PutVal(), pzgeom::TPZCylinderMap< TGeo >::TPZCylinderMap(), TPZMatMixedPoisson3D::TPZMatMixedPoisson3D(), and TPZMixedPoisson::TPZMixedPoisson().

◆ Input()

template<class TVar >

void TPZMatrix< TVar >::Input ( std::istream & in = std::cin )

virtual

Input operation.

Definition at line 227 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::Identity(), operator>>(), and TPZMatrix< STATE >::PutVal().

◆ InsertSub()

template<class TVar>

int TPZMatrix< TVar >::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

virtual

Inserts a submatrix from current object on matrix *Target with no
redimentioning.

Parameters

sRow	Specifies starting row on current object
sCol	Specifies starting column on current object.
rowSize	Specifies the amount of rows from sRow
colSize	Specifies the amount of columns from sCol
pRow	Specifies final row on current object
pCol	Specifies final column on current object.
Target	The matrix to be inserted.

Definition at line 647 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::Zero().

◆ Inverse()

template<class TVar>

int TPZMatrix< TVar >::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 ...)

Definition at line 1929 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::ConditionNumber(), TPZMatrix< STATE >::PutVal(), and TPZMixedDarcyFlow::SetPermeability().

◆ IsDecomposed()

template<class TVar = REAL>

int TPZMatrix< TVar >::IsDecomposed ( ) const

inline

Checks if current matrix is already decomposed.

Definition at line 405 of file pzmatrix.h.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::CopyFrom(), TPZFYsmpMatrix< TVar >::Decompose_LU(), TPZSubMeshFrontalAnalysis::LoadSolution(), TPZSFMatrix< TVar >::operator=(), TPZSubMeshFrontalAnalysis::Run(), and TPZAnalysis::Solve().

◆ IsDefPositive()

template<class TVar = REAL>

virtual int TPZMatrix< TVar >::IsDefPositive ( ) const

inlinevirtual

Checks if current matrix is definite positive.

Definition at line 403 of file pzmatrix.h.

Referenced by TPZMatrix< STATE >::CopyFrom(), and TPZSFMatrix< TVar >::operator=().

◆ IsSimetric()

template<class TVar = REAL>

virtual int TPZMatrix< TVar >::IsSimetric ( ) const

inlinevirtual

Checks if the current matrix is symmetric.

Reimplemented in TPZSkylMatrix< TVar >, TPZSkylNSymMatrix< TVar >, TPZMatRed< TVar, TSideMatrix >, TPZMatRed< STATE, TPZFMatrix< STATE > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZMatRed< TTVar, TPZFMatrix< TTVar > >, TPZSYsmpMatrix< TVar >, TPZSBMatrix< TVar >, and TPZSFMatrix< TVar >.

Definition at line 394 of file pzmatrix.h.

Referenced by TPZDohrSubstructCondense< TTVar >::Contribute_Kc(), TPZMatrix< STATE >::Solve_LU(), TPZSFMatrix< TVar >::Subst_Backward(), TPZSFMatrix< TVar >::Subst_Forward(), TPZSFMatrix< TVar >::Subst_LBackward(), and TPZSFMatrix< TVar >::Subst_LForward().

◆ IsSquare()

template<class TVar = REAL>

int TPZMatrix< TVar >::IsSquare ( ) const

inline

Checks if current matrix is square.

Definition at line 396 of file pzmatrix.h.

Referenced by TPZMatrix< STATE >::Dim().

◆ MatrixNorm()

template<class TVar >

TVar TPZMatrix< TVar >::MatrixNorm	(	int	p,
		int64_t	numiter = `2000000`,
		REAL	tol = `1.e-10`
	)		const

Computes the matrix norm of this.

Parameters

p	interpolation order
numiter	is used by 2-norm calculation in the SolveEigenvaluesJacobi method required to compute the maximum eigenvalue
tol	- same of numiter

Note: It is available p-norm = 1, 2 and infinity.
p=1 is the maximum absolute column sum norm
p=2 is the spectral norm wich is the square root of the maximum eigenvalue of Tranpose[this].this
p=infinity is the maximum absolute row sum norm - p infinity is implemented with p = 0
These operations are defined on the website of the Mathematica software:
http://mathworld.wolfram.com/MatrixNorm.html
Be careful when choosing 2-norm. It has a high computational cost.

Definition at line 1839 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::ConditionNumber(), TPZMatrix< STATE >::PutVal(), and TPZMatrix< STATE >::SolveEigenvaluesJacobi().

◆ MemoryFootprint()

template<class TVar = REAL>

virtual int64_t TPZMatrix< TVar >::MemoryFootprint ( ) const

inlinevirtual

Returns the approximate size of the memory footprint (amount of memory required to store this object).

Reimplemented in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, and TPZFMatrix< STATE >.

Definition at line 86 of file pzmatrix.h.

◆ MultAdd()

template<class TVar>

void TPZMatrix< TVar >::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

virtual

It computes z = beta * y + alpha * opt(this)*x but z and x can not overlap in memory.

Parameters

x	Is x on the above operation
y	Is y on the above operation
z	Is z on the above operation
alpha	Is alpha on the above operation
beta	Is beta on the above operation
opt	Indicates if is Transpose or not

Reimplemented in TPZSkylMatrix< TVar >, TPZMatRed< TVar, TSideMatrix >, TPZMatRed< STATE, TPZFMatrix< STATE > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZMatRed< TTVar, TPZFMatrix< TTVar > >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< STATE >, TPZDohrMatrix< TVar, TSubStruct >, TPZFYsmpMatrix< TVar >, TPZDohrPrecond< TVar, TSubStruct >, TPZVerySparseMatrix< TVar >, TPZSkylNSymMatrix< TVar >, TPZFBMatrix< TVar >, TPZSYsmpMatrix< TVar >, TPZTransfer< TVar >, TPZSBMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, TPZSparseBlockDiagonal< TVar >, and TPZStencilMatrix< TVar >.

Definition at line 166 of file pzmatrix.cpp.

Referenced by TPZPlasticDiagnostic::CheckGlobal(), TPZMatrix< STATE >::Cols(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::MultAdd(), TPZMatrix< STATE >::PutVal(), and TPZMatrix< STATE >::Residual().

◆ Multiply()

template<class TVar>

void TPZMatrix< TVar >::Multiply	(	const TPZFMatrix< TVar > &	A,
		TPZFMatrix< TVar > &	res,
		int	opt = `0`
	)		const

virtual

It mutiplies itself by TPZMatrix<TVar>A putting the result in res.

Parameters

A	TPZMatrix<TVar>object to multiplied to
res	TPZFMatrix<TVar>containing the result
opt	Indicates if is Transpose or not

Definition at line 1916 of file pzmatrix.cpp.

◆ operator()() [1/2]

template<class TVar >

TVar & TPZMatrix< TVar >::operator()	(	const int64_t	row,
		const int64_t	col
	)

inline

The operators check on the bounds if the DEBUG variable is defined.

Parameters

row	Row number.
col	Column number.

Definition at line 867 of file pzmatrix.h.

Referenced by ParallelAssembleTaskMatrix< TVar, TSubStruct >::addWorkItem(), ParallelAssembleTask< TVar, TSubStruct >::addWorkItem(), TPZMatrix< STATE >::g(), and TPZMatrix< STATE >::operator()().

◆ operator()() [2/2]

template<class TVar >

TVar & TPZMatrix< TVar >::operator() ( const int64_t row )

inline

The operators check on the bounds if the DEBUG variable is defined.

Parameters

row	Row number.

Definition at line 887 of file pzmatrix.h.

◆ PrepareZ()

template<class TVar>

void TPZMatrix< TVar >::PrepareZ	(	const TPZFMatrix< TVar > &	y,
		TPZFMatrix< TVar > &	z,
		const TVar	beta,
		const int	opt
	)		const

protected

Is an auxiliar method used by MultiplyAdd.

See also: MultAdd

Definition at line 135 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::Decompose(), TPZBlockDiagonal< STATE >::MultAdd(), TPZSBMatrix< TVar >::MultAdd(), TPZTransfer< TVar >::MultAdd(), TPZFBMatrix< TVar >::MultAdd(), TPZSkylNSymMatrix< TVar >::MultAdd(), TPZVerySparseMatrix< TVar >::MultAdd(), TPZDohrPrecond< TVar, TSubStruct >::MultAdd(), TPZSpMatrix< TVar >::MultAdd(), TPZDohrMatrix< TVar, TSubStruct >::MultAdd(), TPZMatrix< STATE >::MultAdd(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::MultAdd(), TPZSkylMatrix< TVar >::MultAdd(), TPZTransfer< TVar >::MultAddScalar(), TPZDohrPrecond< TVar, TSubStruct >::MultAddTBB(), and TPZDohrMatrix< TVar, TSubStruct >::MultAddTBB().

◆ Print() [1/5]

template<class TVar = REAL>

virtual void TPZMatrix< TVar >::Print ( std::ostream & out ) const

inlinevirtual

Definition at line 253 of file pzmatrix.h.

Referenced by TPZSpaceTimeRichardsEq::AnalysisOfParameters(), TPZPlasticStepPV< YC_t, ER_t >::ApplyLoad(), TPZElementMatrix::ApplyOneShapeConstraints(), TPZPlasticStepPV< YC_t, ER_t >::ApplyStrainComputeDep(), TPZDohrAssembly< STATE >::Assemble(), TPZDohrAssembly< STATE >::AssembleCoarse(), TPZInterpolationSpace::BuildTransferMatrix(), TPZNonLinMultGridAnalysis::CalcResidual(), TPZCompElPostProc< TCOMPEL >::CalcResidual(), TPZSBFemElementGroup::CalcStiff(), TPZCondensedCompEl::CalcStiff(), TPZElementGroup::CalcStiff(), CG(), CheckElement(), TPZSBFemVolume::ComputeKMatrices(), TPZSBFemElementGroup::ComputeMatrices(), TPZCompElHDiv< TSHAPE >::ComputeRequiredData(), TPZSBFemVolume::ComputeSolution(), TPZDohrPrecond< TVar, TSubStruct >::ComputeV1(), TPZDohrPrecond< TVar, TSubStruct >::ComputeV2(), TPZElasticityAxiMaterial::Contribute(), TPZMatPorous< T, TMEM >::Contribute(), TPZDohrSubstructCondense< TTVar >::Contribute_v2_local(), TPZDohrSubstruct< TVar >::Contribute_v2_local(), TPZSwelling::ContributeBC(), TPZEulerConsLaw::ContributeBCInterface(), TPZMaterialCoupling::ContributeInterface(), TPZElasticityAxiMaterial::ContributeInterface(), TPZEulerConsLaw::ContributeInterface(), TPZMaterialCoupling::ContributeInterface2(), TPZDohrSubstruct< TVar >::ContributeKU(), TPZDohrSubstructCondense< TTVar >::ContributeKULocal(), TPZDohrSubstruct< TVar >::ContributeKULocal(), TPZDohrSubstructCondense< TTVar >::ContributeRhs(), TPZStructMatrixBase::CreateAssemble(), TPZStructMatrixST::CreateAssemble(), TPZStructMatrixGCTP::CreateAssemble(), TPZStructMatrixGC::CreateAssemble(), TPZStructMatrixCS::CreateAssemble(), TPZStructMatrixTBBFlow::CreateAssemble(), TPZStructMatrixOT::CreateAssemble(), TPZExtendGridDimension::DeformMesh(), TPZTensor< STATE >::EigenSystemJacobi(), TPZMixedPoisson::Errors(), TPZDohrAssembly< STATE >::Extract(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::F1Red(), TPZMatHybrid::Flux(), TPZMaterialTest::Flux(), TPZElasticityAxiMaterial::Flux(), TPZElasticityMaterial::Flux(), TPZMixedElasticityMaterial::Flux(), TPZFrontMatrix< TVar, store, front >::GetFront(), TPZFMatrix< STATE >::GramSchmidt(), TPZDohrMatrix< TVar, TSubStruct >::Initialize(), TPZCompElHDiv< TSHAPE >::InitMaterialData(), TPZElastoPlasticAnalysis::IterativeProcess(), pzgeom::TPZGeoBlend< TGeo >::Jacobian(), TPZGeoEl::Jacobian(), TPZElastoPlasticAnalysis::LineSearch(), TPZSubMeshAnalysis::LoadSolution(), TPZEqnArray< TVar >::main(), TPZFrontSym< TVar >::main(), TPZFileEqnStorage< TVar >::main(), TEulerDiffusivity::main(), TPZFrontNonSym< TVar >::main(), TPZBlockDiagonal< STATE >::main(), TPZAxesTools< TVar >::main(), TPZSkylParMatrix< TVar >::main_nada(), pzgeom::TPZGeoBlend< TGeo >::MapToNeighSide(), TPZDohrPrecond< TVar, TSubStruct >::MultAdd(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::MultAdd(), TPZStructMatrixGCTP::MultiThread_Assemble(), TPZStructMatrixGC::MultiThread_Assemble(), TPZStructMatrixCS::MultiThread_Assemble(), TPZStructMatrixOT::MultiThread_Assemble(), TPZStructMatrixOR::MultiThread_Assemble(), TPZYCSandlerDimaggio::NewtonF1(), TPZYCSandlerDimaggio::NewtonF2(), TPZYCSandlerDimaggio::NewtonF2L(), TPZYCSandlerDimaggio::NewtonF3(), TPZStructMatrixCS::ThreadData::NextElement(), TPZMatOrthotropic::Normalize(), operator<<(), TPZPlasticStep< YC_t, TF_t, ER_t >::PlasticLoop(), TPZAnalysis::PostProcessErrorSerial(), TPZMatOrthotropic::Print(), TPZMaterialTest3D::Print(), TPZTransfer< TVar >::Print(), TPZMixedDarcyFlow::Print(), TPZSBMatrix< TVar >::Print(), TPZElementMatrix::Print(), TPZSYsmpMatrix< TVar >::Print(), TPZBlockDiagonal< STATE >::Print(), TPZMaterialData::Print(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::Print(), pzgeom::TPZArc3D::Print(), TPZConnect::Print(), TPZMatrix< STATE >::Print(), TPZBndCond::Print(), TPZAnalysis::Print(), TPZSBFemVolume::Print(), TPZGeoElMapped< TBase >::Print(), TPZMaterialData::PrintMathematica(), TPZPlasticStep< YC_t, TF_t, ER_t >::ProcessLoad(), PYBIND11_MODULE(), TPZInterpolatedElement::RestrainSide(), TPZMohrCoulombPV::ReturnMapRightEdge(), TPZMohrCoulombNeto::ReturnMapRightEdge(), TPZTransientAnalysis< TRANSIENTCLASS >::SaveCurrentSolutionVec(), TPZStructMatrixGCTP::Serial_Assemble(), TPZStructMatrixGC::Serial_Assemble(), TPZStructMatrixCS::Serial_Assemble(), TPZStructMatrixOT::Serial_Assemble(), TPZStructMatrixOR::Serial_Assemble(), TPZPairStructMatrix::SerialAssemble(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::SetF(), TPZSBFemVolume::Shape(), TPZElasticityAxiMaterial::Solution(), TPZAnalysis::Solve(), TPZMatrix< STATE >::Solve_LDLt(), TPZFrontMatrix< TVar, store, front >::SolveDirect(), TPZDohrSubstruct< TVar >::SolveSystemPhi(), TPZTensor< T >::TPZDecomposed::TangentCheckConv(), TPZPlasticStepPV< YC_t, ER_t >::TaylorCheck(), TPZSandlerExtended::TaylorCheckDtbkDsigtrial(), TPZGeoElMapped< TBase >::TGradX(), TPZStructMatrixOR::ThreadData::ThreadAssembly(), TPZStructMatrixOR::ThreadData::ThreadWork(), TPZPairStructMatrix::ThreadData::ThreadWork(), TPZStructMatrixGC::ThreadData::ThreadWork(), TPZStructMatrixCS::ThreadData::ThreadWork(), TPZStructMatrixOT::ThreadData::ThreadWork(), TPZStructMatrixGC::ThreadData::ThreadWorkResidual(), TPZStructMatrixOT::ThreadData::ThreadWorkResidual(), TPZMultPlaca::TPZMultPlaca(), TPZSubCompMesh::TransferMultiphysicsElementSolution(), TPZDohrSubstructCondense< TTVar >::UGlobal(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::UGlobal(), TPZAxesTools< TVar >::VerifyAxes(), and TPZConnect::~TPZConnect().

◆ Print() [2/5]

template<class TVar >

void TPZMatrix< TVar >::Print	(	const char *	name,
		std::ostream &	out = `std::cout`,
		const MatrixOutputFormat	form = `EFormatted`
	)		const

virtual

It prints the matrix data in a MatrixFormat Rows X Cols.

Reimplemented in TPZMatRed< TVar, TSideMatrix >, TPZMatRed< STATE, TPZFMatrix< STATE > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZMatRed< TTVar, TPZFMatrix< TTVar > >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, TPZFYsmpMatrix< TVar >, TPZSYsmpMatrix< TVar >, TPZDohrMatrix< TVar, TSubStruct >, TPZFrontMatrix< TVar, store, front >, TPZSBMatrix< TVar >, TPZTransfer< TVar >, TPZStencilMatrix< TVar >, and TPZSparseBlockDiagonal< TVar >.

Definition at line 270 of file pzmatrix.cpp.

◆ Print() [3/5]

template<>

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

Definition at line 367 of file pzmatrix.cpp.

◆ Print() [4/5]

template<>

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

Definition at line 432 of file pzmatrix.cpp.

◆ Print() [5/5]

template<>

void TPZMatrix< std::complex< long double > >::Print	(	const char *	name,
		std::ostream &	out,
		const MatrixOutputFormat	form
	)		const

Definition at line 500 of file pzmatrix.cpp.

◆ Put()

template<class TVar>

int TPZMatrix< TVar >::Put	(	const int64_t	row,
		const int64_t	col,
		const TVar &	value
	)

inlinevirtual

Put values with bounds checking if DEBUG variable is defined.

Parameters

row	Row number.
col	Column number.
value	Value being put.

Reimplemented in TPZSpMatrix< TVar >, TPZFBMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, and TPZSparseBlockDiagonal< TVar >.

Definition at line 836 of file pzmatrix.h.

Referenced by pzshape::TPZShapeLinear::Chebyshev(), TPZMatrix< STATE >::CopyFrom(), pzshape::TPZShapeLinear::Expo(), pzshape::TPZShapeLinear::Hermite(), TPZMatrix< STATE >::Input(), pzshape::TPZShapeLinear::Jacobi(), pzshape::TPZShapeDisc::Legendre(), pzshape::TPZShapeLinear::Legendre(), and RotationMatrix().

◆ PutSub()

template<class TVar>

int TPZMatrix< TVar >::PutSub	(	const int64_t	sRow,
		const int64_t	sCol,
		const TPZFMatrix< TVar > &	Source
	)

virtual

It puts submatrix Source on actual matrix structure.

Parameters

sRow	Specifies starting row on current object
sCol	Specifies starting column on current object.
Source	The matrix to be inserted

Definition at line 574 of file pzmatrix.cpp.

Referenced by TPZDohrSubstruct< TVar >::ContributeTestV1(), and TPZMatrix< STATE >::Zero().

◆ PutVal()

template<class TVar = REAL>

virtual int TPZMatrix< 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 in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< STATE >, TPZFYsmpMatrix< TVar >, TPZMatRed< TVar, TSideMatrix >, TPZMatRed< STATE, TPZFMatrix< STATE > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZMatRed< TTVar, TPZFMatrix< TTVar > >, TPZSpMatrix< TVar >, TPZFBMatrix< TVar >, TPZSYsmpMatrix< TVar >, TPZSkylNSymMatrix< TVar >, TPZVerySparseMatrix< TVar >, TPZSFMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, TPZSBMatrix< TVar >, TPZSSpMatrix< TVar >, and TPZSparseBlockDiagonal< TVar >.

Definition at line 154 of file pzmatrix.h.

Referenced by TPZMatrix< STATE >::Add(), TPZMatrix< STATE >::AddSub(), TPZBlock< STATE >::InsertBlock(), TPZMatrix< STATE >::InsertSub(), TPZMatrix< STATE >::Put(), TPZMatrix< STATE >::Substract(), TPZBlockDiagonal< STATE >::Transpose(), TPZFBMatrix< TVar >::Transpose(), TPZMatrix< STATE >::Transpose(), and TPZFMatrix< STATE >::Transpose().

◆ Read()

template<class TVar >

void TPZMatrix< TVar >::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

Unpacks the object structure from a stream of bytes.

Parameters

buf	The buffer containing the object in a packed form
context

Reimplemented from TPZSavable.

Reimplemented in TPZFNMatrix< 9, T >, TPZFNMatrix< 3, T >, TPZFNMatrix< 30, std::complex< double > >, TPZSkylMatrix< TVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrMatrix< TVar, TSubStruct >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZSkylNSymMatrix< TVar >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrPrecond< TVar, TSubStruct >, and TPZVerySparseMatrix< TVar >.

Definition at line 1413 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::Decompose(), main(), TPZDohrPrecond< TVar, TSubStruct >::Read(), TPZDohrMatrix< TVar, TSubStruct >::Read(), TPZSkylNSymMatrix< TVar >::Read(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::Read(), TPZFMatrix< STATE >::Read(), and TPZSkylMatrix< TVar >::Read().

◆ Redim()

template<class TVar = REAL>

virtual int TPZMatrix< 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 in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZMatRed< TVar, TSideMatrix >, TPZMatRed< STATE, TPZFMatrix< STATE > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZMatRed< TTVar, TPZFMatrix< TTVar > >, TPZSpMatrix< TVar >, TPZFBMatrix< TVar >, TPZSFMatrix< TVar >, TPZSBMatrix< TVar >, and TPZSSpMatrix< TVar >.

Definition at line 289 of file pzmatrix.h.

Referenced by TPZMatrix< STATE >::Add(), TPZSubMeshAnalysis::Assemble(), TPZSkylMatrix< TVar >::AutoFill(), TPZCondensedCompEl::CalcStiff(), TPZYCMohrCoulombPV::ComputeLeftEdgeTangent(), TPZYCMohrCoulombPV::ComputePlaneTangent(), TPZYCMohrCoulombPV::ComputeRightEdgeTangent(), TPZMatrixMarket::Read(), TPZSBMatrix< TVar >::Redim(), TPZFBMatrix< TVar >::Redim(), TPZCondensedCompEl::Resequence(), and TPZMatRed< TTVar, TPZFMatrix< TTVar > >::Zero().

◆ Residual()

template<class TVar>

void TPZMatrix< TVar >::Residual	(	const TPZFMatrix< TVar > &	x,
		const TPZFMatrix< TVar > &	rhs,
		TPZFMatrix< TVar > &	res
	)

inlinevirtual

Computes res = rhs - this * x.

Definition at line 827 of file pzmatrix.h.

Referenced by CheckConvergence(), TPZMatrix< STATE >::Cols(), TPZMatrix< STATE >::PutVal(), TPZMGAnalysis::Solve(), TPZAnalysis::Solve(), TPZFYsmpMatrix< TVar >::SolveJacobi(), TPZMatrix< STATE >::SolveJacobi(), TPZFYsmpMatrix< TVar >::SolveSOR(), TPZMatrix< STATE >::SolveSOR(), and TPZSkylMatrix< TVar >::SolveSOR().

◆ Resize()

template<class TVar = REAL>

virtual int TPZMatrix< TVar >::Resize	(	const int64_t	newRows,
		const int64_t	newCols
	)

inlinevirtual

Redimensions a matriz keeping the previous values.

Parameters

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

Reimplemented in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZSpMatrix< TVar >, TPZFBMatrix< TVar >, TPZSFMatrix< TVar >, TPZSBMatrix< TVar >, and TPZSSpMatrix< TVar >.

Definition at line 278 of file pzmatrix.h.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZFYsmpMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::AutoFill(), TPZSkylNSymMatrix< TVar >::AutoFill(), TPZDohrStructMatrix::Create(), TPZGenSubStruct::InitializeDohr(), TPZGenSubStruct::InitializeDohrCondense(), TPZFrontMatrix< TVar, store, front >::SetNumElConnected(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::SetReduced(), TPZMatrix< STATE >::Substract(), TPZBlockDiagonal< STATE >::Transpose(), TPZVerySparseMatrix< TVar >::Transpose(), TPZFBMatrix< TVar >::Transpose(), TPZMatrix< STATE >::Transpose(), and TPZFMatrix< STATE >::Transpose().

◆ ReturnNearestValue()

template<class TVar>

TVar TPZMatrix< TVar >::ReturnNearestValue	(	TVar	val,
		TPZVec< TVar > &	Vec,
		TVar	tol
	)

static

Retorna o valor mais proximo a "val" (exceto valores no intervalo -tol <= val <= +tol) contido no vetor Vec.

Definition at line 1560 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::CompareValues(), TPZMatrix< STATE >::Decompose(), and TPZMatrix< STATE >::SolveEigensystemJacobi().

◆ Rows()

template<class TVar >

int64_t TPZMatrix< TVar >::Rows ( ) const

inline

Returns number of rows.

Definition at line 803 of file pzmatrix.h.

◆ s()

template<class TVar >

TVar & TPZMatrix< TVar >::s	(	const int64_t	row,
		const int64_t	col
	)

inlinevirtual

The operators check on the bounds if the DEBUG variable is defined.

Parameters

row	Row number.
col	Column number.

Reimplemented in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZFMatrix< STATE >, TPZSkylNSymMatrix< TVar >, TPZMatRed< TVar, TSideMatrix >, TPZMatRed< STATE, TPZFMatrix< STATE > >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZMatRed< TTVar, TPZFMatrix< TTVar > >, TPZFBMatrix< TVar >, TPZVerySparseMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, and TPZSparseBlockDiagonal< TVar >.

Definition at line 879 of file pzmatrix.h.

Referenced by TPZMatrix< STATE >::g(), TPZMatrix< STATE >::operator()(), TPZSequenceSolver< TVar >::ResetMatrix(), TPZSequenceSolver< TVar >::ResetSolver(), TPZSequenceSolver< TVar >::Solve(), TPZSequenceSolver< TVar >::TPZSequenceSolver(), and TPZSequenceSolver< TVar >::UpdateFrom().

◆ SetIsDecomposed()

template<class TVar = REAL>

void TPZMatrix< TVar >::SetIsDecomposed ( int val )

inline

Sets current matrix to decomposed state.

Definition at line 410 of file pzmatrix.h.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZCondensedCompEl::CalcStiff(), TPZFYsmpMatrix< TVar >::Decompose_LU(), and TPZSFMatrix< TVar >::operator=().

◆ Simetrize()

template<class TVar >

void TPZMatrix< TVar >::Simetrize ( )

virtual

Simetrizes copies upper plan to the lower plan, making its data simetric.

Reimplemented in TPZVerySparseMatrix< TVar >.

Definition at line 90 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::IsSquare().

◆ Solve_Cholesky() [1/2]

template<class TVar>

int TPZMatrix< TVar >::Solve_Cholesky ( TPZFMatrix< TVar > * B )

inlinevirtual

Solves the linear system using Cholesky method
.

Parameters

B	The right hand side of the system and where the solution is stored.

Definition at line 919 of file pzmatrix.h.

Referenced by TPZMatrix< STATE >::Decompose(), and TPZMatrix< STATE >::SolveDirect().

◆ Solve_Cholesky() [2/2]

template<class TVar>

int TPZMatrix< TVar >::Solve_Cholesky	(	TPZFMatrix< TVar > *	B,
		std::list< int64_t > &	singular
	)

inline

Solves the linear system using Cholesky method
.

Parameters

B	The right hand side of the system and where the solution is stored.
singular

Definition at line 927 of file pzmatrix.h.

◆ Solve_LDLt() [1/2]

template<class TVar>

int TPZMatrix< TVar >::Solve_LDLt	(	TPZFMatrix< TVar > *	B,
		std::list< int64_t > &	singular
	)

Solves the linear system using LDLt method
.

Parameters

B	The right hand side of the system and where the solution is stored.
singular

Definition at line 1993 of file pzmatrix.cpp.

Referenced by TPZElasticCriterion::ApplyLoad(), TPZMatrix< STATE >::Decompose(), and TPZMatrix< STATE >::SolveDirect().

◆ Solve_LDLt() [2/2]

template<class TVar>

int TPZMatrix< TVar >::Solve_LDLt ( TPZFMatrix< TVar > * B )

inline

Solves the linear system using LDLt method
.

Parameters

B	The right hand side of the system and where the solution is stored.

Definition at line 937 of file pzmatrix.h.

◆ Solve_LU() [1/2]

template<class TVar>

int TPZMatrix< TVar >::Solve_LU	(	TPZFMatrix< TVar > *	B,
		std::list< int64_t > &	singular
	)

inline

Solves the linear system using LU method
.

Parameters

B	The right hand side of the system and where the solution is stored.
singular

Definition at line 900 of file pzmatrix.h.

Referenced by TPZPlasticStepPV< YC_t, ER_t >::ApplyLoad(), TPZCompElPostProc< TCOMPEL >::CalcResidual(), TPZMatrix< STATE >::Decompose(), TPZFMatrix< STATE >::DeterminantInverse(), TPZBlockDiagonal< STATE >::main(), TPZSandlerExtended::ProjectBetaConstF2(), TPZSandlerExtended::ProjectRing(), TPZYCDruckerPragerPV::ProjectSigmaDep(), TPZYCCamClayPV::ProjectToSurface(), TPZYCCamClayPV::ProjectToSurfaceConstantBeta(), TPZYCDruckerPragerPV::ProjectToSurfaceF1(), TPZMatrix< STATE >::SolveDirect(), TPZMatrix< STATE >::SolveEigensystemJacobi(), and TPZSandlerExtended::TaylorCheckDtbkDsigtrial().

◆ Solve_LU() [2/2]

template<class TVar>

int TPZMatrix< TVar >::Solve_LU ( TPZFMatrix< TVar > * B )

inline

Solves the linear system using LU method
.

Parameters

B	The right hand side of the system and where the solution is stored.

Definition at line 907 of file pzmatrix.h.

◆ SolveBICG() [1/4]

template<class TVar>

void TPZMatrix< TVar >::SolveBICG	(	int64_t &	numiterations,
		TPZSolver< TVar > &	preconditioner,
		const TPZFMatrix< TVar > &	F,
		TPZFMatrix< TVar > &	result,
		REAL &	tol
	)

virtual

Solves the linear system using Bi-Conjugate Gradient method.
.

Parameters

numiterations	The number of interations for the process.
preconditioner	The preconditioner attribute used.
F	The right hand side of the system.
result	The solution.
tol	The tolerance value.

Definition at line 974 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed(), and TPZMatrix< STATE >::SolveBICG().

◆ SolveBICG() [2/4]

template<>

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

Definition at line 999 of file pzmatrix.cpp.

◆ SolveBICG() [3/4]

template<>

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

Definition at line 1007 of file pzmatrix.cpp.

◆ SolveBICG() [4/4]

template<>

void TPZMatrix< std::complex< long double > >::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
	)

Definition at line 1015 of file pzmatrix.cpp.

◆ SolveBICGStab() [1/4]

template<class TVar>

void TPZMatrix< TVar >::SolveBICGStab	(	int64_t &	numiterations,
		TPZSolver< TVar > &	preconditioner,
		const TPZFMatrix< TVar > &	F,
		TPZFMatrix< TVar > &	result,
		TPZFMatrix< TVar > *	residual,
		REAL &	tol,
		const int	FromCurrent = `0`
	)

virtual

Solves the linear system using Bi-Conjugate Gradient stabilized method.
.

Parameters

numiterations	The number of interations for the process.
preconditioner	The preconditioner attribute used.
F	The right hand side of the system.
result	The solution.
residual	Returns F - A*U which is the solution residual.
tol	The tolerance value.
FromCurrent	It starts the solution based on FromCurrent.

Definition at line 1024 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed(), and TPZMatrix< STATE >::SolveBICGStab().

◆ SolveBICGStab() [2/4]

template<>

void TPZMatrix< std::complex< float > >::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
	)

Definition at line 1046 of file pzmatrix.cpp.

◆ SolveBICGStab() [3/4]

template<>

void TPZMatrix< std::complex< double > >::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
	)

Definition at line 1053 of file pzmatrix.cpp.

◆ SolveBICGStab() [4/4]

template<>

void TPZMatrix< std::complex< long double > >::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
	)

Definition at line 1060 of file pzmatrix.cpp.

◆ SolveCG() [1/4]

template<class TVar>

void TPZMatrix< TVar >::SolveCG	(	int64_t &	numiterations,
		TPZSolver< TVar > &	preconditioner,
		const TPZFMatrix< TVar > &	F,
		TPZFMatrix< TVar > &	result,
		TPZFMatrix< TVar > *	residual,
		REAL &	tol,
		const int	FromCurrent = `0`
	)

virtual

Solves the linear system using Conjugate Gradient method.
.

Parameters

numiterations	The number of interations for the process.
preconditioner	The preconditioner attribute used.
F	The right hand side of the system.
result	The solution.
residual	Returns F - A*U which is the solution residual.
tol	The tolerance value.
FromCurrent	It starts the solution based on FromCurrent.

Definition at line 850 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed(), and TPZMatrix< STATE >::SolveCG().

◆ SolveCG() [2/4]

template<>

void TPZMatrix< std::complex< float > >::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
	)

Definition at line 873 of file pzmatrix.cpp.

◆ SolveCG() [3/4]

template<>

void TPZMatrix< std::complex< double > >::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
	)

Definition at line 880 of file pzmatrix.cpp.

◆ SolveCG() [4/4]

template<>

void TPZMatrix< std::complex< long double > >::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
	)

Definition at line 887 of file pzmatrix.cpp.

◆ SolveDirect() [1/2]

template<class TVar>

int TPZMatrix< TVar >::SolveDirect	(	TPZFMatrix< TVar > &	F,
		const DecomposeType	dt,
		std::list< int64_t > &	singular
	)

virtual

Solves the linear system using Direct methods.

Parameters

F	The right hand side of the system and where the solution is stored.
dt	Indicates type of decomposition
singular

Reimplemented in TPZFrontMatrix< TVar, store, front >.

Definition at line 710 of file pzmatrix.cpp.

Referenced by TPZInterpolationSpace::BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZCompElDisc::BuildTransferMatrix(), TPZCondensedCompEl::CalcStiff(), TPZFrontMatrix< TVar, store, front >::Clone(), TPZGradientReconstruction::TPZGradientData::ComputeGradient(), TPZGeoEl::ComputeParamTrans(), TPZRefPattern::ComputeParamTransform(), TPZGeoEl::ComputeXInverse(), TPZSwelling::ContributeBC(), TPZInterpolationSpace::InterpolateSolution(), TPZMatrix< STATE >::Inverse(), TPZProjectEllipse::LeastSquaresToGetEllipse(), TPZProjectEllipse::LeastSquaresToGetSimpleEllipse(), TPZProjectEllipse::LeastSquaresToGetVerySimpleEllipse(), TPZFrontSym< TVar >::main(), TPZFrontNonSym< TVar >::main(), TPZYCSandlerDimaggio::NewtonF2(), TPZYCSandlerDimaggio::NewtonF2L(), TPZYCSandlerDimaggio::NewtonF3(), TPZAgglomerateElement::ProjectSolution(), TPZMatrix< STATE >::SetIsDecomposed(), and TPZMatRed< TTVar, TPZFMatrix< TTVar > >::U1().

◆ SolveDirect() [2/2]

template<class TVar>

int TPZMatrix< TVar >::SolveDirect	(	TPZFMatrix< TVar > &	F,
		const DecomposeType	dt
	)

virtual

Solves the linear system using Direct methods.

Parameters

F	The right hand side of the system and where the solution is stored.
dt	Indicates type of decomposition

Definition at line 726 of file pzmatrix.cpp.

◆ SolveEigensystemJacobi()

template<class TVar>

bool TPZMatrix< TVar >::SolveEigensystemJacobi	(	int64_t &	numiterations,
		REAL &	tol,
		TPZVec< TVar > &	Eigenvalues,
		TPZFMatrix< TVar > &	Eigenvectors
	)		const

virtual

Compute Eigenvalues and Eigenvectors of this matrix.
This method is efficient only for small matrices.

Parameters

numiterations	The number of interations for the process.
tol	The tolerance value.
Eigenvalues	ordered from big to small
Eigenvectors	each row represent one eigenvector. It is in same order of eigenvalues.

Returns: Returns true if tolerance is achieved or false otherwise.

Making a copy of this

Compute Eigenvalues

Compute Eigenvectors

Normalizing Initial Eigenvec

Estimating Eigenvec

Normalizing Final Eigenvec

Copy values from AuxVector to Eigenvectors

Definition at line 1583 of file pzmatrix.cpp.

Referenced by TPZTensor< STATE >::EigenSystemJacobi(), TPZMatElastoPlastic< T, TMEM >::EigenVectors(), TPZElasticity3D::PrincipalDirection(), TPZMatrix< STATE >::ReturnNearestValue(), and TPZMatrix< STATE >::SetIsDecomposed().

◆ SolveEigenvaluesJacobi() [1/4]

template<class TVar>

bool TPZMatrix< TVar >::SolveEigenvaluesJacobi	(	int64_t &	numiterations,
		REAL &	tol,
		TPZVec< TVar > *	Sort = `0`
	)

virtual

Transforms this matrix in a diagonal matrix, where the diagonal values are its eigenvalues. This method is efficient only for small matrices.

Parameters

numiterations	The number of interations for the process.
tol	The tolerance value.
Sort	diagonal values from big to small

Returns: Returns true if tolerance is achieved or false otherwise.

First of all find the max value off diagonal

Check if max value off diagonal is lesser than required tolerance

Compute angle of rotation

Apply rotation

Sorting

Definition at line 1727 of file pzmatrix.cpp.

Referenced by TPZMatElastoPlastic< T, TMEM >::EigenValues(), TPZMatrix< STATE >::MatrixNorm(), TPZMatrix< STATE >::SetIsDecomposed(), TPZViscoelastic::Solution(), TPZElasticity3D::Solution(), TPZMatrix< STATE >::SolveEigensystemJacobi(), and TPZMatrix< STATE >::SolveEigenvaluesJacobi().

◆ SolveEigenvaluesJacobi() [2/4]

template<>

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

Definition at line 1701 of file pzmatrix.cpp.

◆ SolveEigenvaluesJacobi() [3/4]

template<>

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

Definition at line 1707 of file pzmatrix.cpp.

◆ SolveEigenvaluesJacobi() [4/4]

template<>

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

Definition at line 1713 of file pzmatrix.cpp.

◆ SolveGMRES() [1/4]

template<class TVar>

void TPZMatrix< TVar >::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
	)

virtual

Solves the linear system using Generalized Minimal Residual (GMRES) method.
.

Parameters

numiterations	The number of interations for the process.
preconditioner	The preconditioner attribute used.
H	The right hand side of the system
numvectors	The number of vectors involved
F	The right hand side of the system.
result	The solution.
residual	Returns F - A*U which is the solution residual.
tol	The tolerance value.
FromCurrent	It starts the solution based on FromCurrent. Obtaining solution FromCurrent + 1.

Definition at line 896 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed(), and TPZMatrix< STATE >::SolveGMRES().

◆ SolveGMRES() [2/4]

template<>

void TPZMatrix< std::complex< float > >::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
	)

Definition at line 945 of file pzmatrix.cpp.

◆ SolveGMRES() [3/4]

template<>

void TPZMatrix< std::complex< double > >::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
	)

Definition at line 954 of file pzmatrix.cpp.

◆ SolveGMRES() [4/4]

template<>

void TPZMatrix< std::complex< long double > >::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
	)

Definition at line 963 of file pzmatrix.cpp.

◆ SolveIR() [1/4]

template<class TVar>

void TPZMatrix< TVar >::SolveIR	(	int64_t &	numiterations,
		TPZSolver< TVar > &	preconditioner,
		const TPZFMatrix< TVar > &	F,
		TPZFMatrix< TVar > &	result,
		TPZFMatrix< TVar > *	residual,
		REAL &	tol,
		const int	FromCurrent = `0`
	)

virtual

Solves the linear system using IR method.
.

Parameters

numiterations	The number of interations for the process.
preconditioner	The preconditioner attribute used.
F	The right hand side of the system.
result	The solution.
residual	Returns F - A*U which is the solution residual.
tol	The tolerance value.
FromCurrent	It starts the solution based on FromCurrent. Obtaining solution FromCurrent + 1.

Definition at line 1070 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed(), and TPZMatrix< STATE >::SolveIR().

◆ SolveIR() [2/4]

template<>

void TPZMatrix< std::complex< float > >::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
	)

Definition at line 1095 of file pzmatrix.cpp.

◆ SolveIR() [3/4]

template<>

void TPZMatrix< std::complex< double > >::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
	)

Definition at line 1103 of file pzmatrix.cpp.

◆ SolveIR() [4/4]

template<>

void TPZMatrix< std::complex< long double > >::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
	)

Definition at line 1111 of file pzmatrix.cpp.

◆ SolveJacobi()

template<class TVar>

void TPZMatrix< TVar >::SolveJacobi	(	int64_t &	numiterations,
		const TPZFMatrix< TVar > &	F,
		TPZFMatrix< TVar > &	result,
		TPZFMatrix< TVar > *	residual,
		TPZFMatrix< TVar > &	scratch,
		REAL &	tol,
		const int	FromCurrent = `0`
	)

virtual

Solves the linear system using Jacobi method.
.

For symmetric decompositions lower triangular matrix is used.
Solves a system A*X = B returning X in B

Parameters

numiterations	The number of interations for the process.
F	The right hand side of the system.
result	The solution.
residual	Returns F - A*U which is the solution residual.
scratch	Available manipulation area on memory.
tol	The tolerance value.
FromCurrent	It starts the solution based on FromCurrent. Obtaining solution FromCurrent + 1.

Reimplemented in TPZFYsmpMatrix< TVar >.

Definition at line 743 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed().

◆ SolveSOR()

template<class TVar>

void TPZMatrix< TVar >::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`
	)

virtual

Solves the linear system using Successive Over Relaxation method (Gauss Seidel).
.

Parameters

numiterations	The number of interations for the process.
F	The right hand side of the system.
result	The solution.
residual	Returns F - A*U which is the solution residual.
scratch	Available manipulation area on memory.
overrelax	The over relaxation parameter
tol	The tolerance value..
FromCurrent	It starts the solution based on FromCurrent. Obtaining solution FromCurrent + 1.
direction	Indicates interaction direction, from first to last (default 1) or from last to first (-1)

Reimplemented in TPZSkylMatrix< TVar >, and TPZFYsmpMatrix< TVar >.

Definition at line 785 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed(), TPZMatrix< STATE >::SolveJacobi(), and TPZMatrix< STATE >::SolveSSOR().

◆ SolveSSOR()

template<class TVar>

void TPZMatrix< TVar >::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`
	)

virtual

Solves the linear system using Symmetric Successive Over Relaxation method (Gauss Seidel).
.

Parameters

numiterations	The number of interations for the process.
F	The right hand side of the system.
result	The solution.
residual	Returns F - A*U which is the solution residual.
scratch	Available manipulation area on memory.
overrelax	The over relaxation parameter
tol	The tolerance value..
FromCurrent	It starts the solution based on FromCurrent. Obtaining solution FromCurrent + 1.

Definition at line 828 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::SetIsDecomposed().

◆ Subst_Backward()

template<class TVar>

int TPZMatrix< TVar >::Subst_Backward ( TPZFMatrix< TVar > * b ) const

virtual

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

Parameters

b	right hand side and result after all

Reimplemented in TPZSkylMatrix< TVar >, TPZFrontMatrix< TVar, store, front >, TPZSkylNSymMatrix< TVar >, TPZSFMatrix< TVar >, and TPZSBMatrix< TVar >.

Definition at line 1309 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZFrontMatrix< TVar, store, front >::Clone(), TPZMatrix< STATE >::Decompose(), TPZFMatrix< STATE >::Decompose_LDLt(), TPZSYsmpMatrix< TVar >::JA(), TPZSubMeshFrontalAnalysis::LoadSolution(), TPZFMatrix< STATE >::operator-=(), TPZMatrix< STATE >::Solve_Cholesky(), and TPZSBMatrix< TVar >::Subst_Backward().

◆ Subst_Diag()

template<class TVar>

int TPZMatrix< 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 in TPZSkylMatrix< TVar >, TPZSFMatrix< TVar >, TPZSBMatrix< TVar >, and TPZSSpMatrix< TVar >.

Definition at line 1384 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::Decompose(), TPZFMatrix< STATE >::Decompose_LDLt(), TPZSYsmpMatrix< TVar >::JA(), TPZFMatrix< STATE >::operator-=(), and TPZMatrix< STATE >::Solve_LDLt().

◆ Subst_Forward()

template<class TVar>

int TPZMatrix< 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 in TPZSkylMatrix< TVar >, TPZFrontMatrix< TVar, store, front >, TPZSFMatrix< TVar >, TPZSBMatrix< TVar >, and TPZSSpMatrix< TVar >.

Definition at line 1284 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZFrontMatrix< TVar, store, front >::Clone(), TPZMatrix< STATE >::Decompose(), TPZFMatrix< STATE >::Decompose_LDLt(), TPZSYsmpMatrix< TVar >::JA(), TPZEqnArray< TVar >::main(), TPZFMatrix< STATE >::operator-=(), TPZSubMeshFrontalAnalysis::Run(), TPZMatrix< STATE >::Solve_Cholesky(), and TPZSBMatrix< TVar >::Subst_Forward().

◆ Subst_LBackward()

template<class TVar>

int TPZMatrix< TVar >::Subst_LBackward ( TPZFMatrix< TVar > * b ) const

virtual

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

Parameters

b	right hand side and result after all

Reimplemented in TPZSkylMatrix< TVar >, TPZSFMatrix< TVar >, and TPZSBMatrix< TVar >.

Definition at line 1358 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::Decompose(), TPZFMatrix< STATE >::Decompose_LDLt(), TPZSYsmpMatrix< TVar >::JA(), TPZFMatrix< STATE >::operator-=(), and TPZMatrix< STATE >::Solve_LDLt().

◆ Subst_LForward()

template<class TVar>

int TPZMatrix< 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 in TPZSkylMatrix< TVar >, TPZSkylNSymMatrix< TVar >, TPZSFMatrix< TVar >, TPZSBMatrix< TVar >, and TPZSSpMatrix< TVar >.

Definition at line 1333 of file pzmatrix.cpp.

Referenced by TPZSYsmpMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::Decompose(), TPZFMatrix< STATE >::Decompose_LDLt(), TPZSYsmpMatrix< TVar >::JA(), TPZFMatrix< STATE >::operator-=(), and TPZMatrix< STATE >::Solve_LDLt().

◆ Substitution()

template<class TVar>

int TPZMatrix< TVar >::Substitution ( TPZFMatrix< TVar > * B ) const

virtual

Computes Forward and Backward substitution for a "LU" decomposed matrix.

Parameters

B	right hand side and result after all

Reimplemented in TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< STATE >, TPZFYsmpMatrix< TVar >, TPZFrontMatrix< TVar, store, front >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, TPZSparseBlockDiagonal< TVar >, TPZSpBlockDiagPivot< TVar >, and TPZFBMatrix< TVar >.

Definition at line 1151 of file pzmatrix.cpp.

Referenced by TPZFrontMatrix< TVar, store, front >::Clone(), TPZMatrix< STATE >::Decompose(), TPZMatrix< STATE >::Solve_LU(), and TPZFBMatrix< TVar >::Substitution().

◆ Substract()

template<class TVar>

void TPZMatrix< TVar >::Substract	(	const TPZMatrix< TVar > &	A,
		TPZMatrix< TVar > &	result
	)		const

virtual

It substracts A from storing the result in result.

Definition at line 75 of file pzmatrix.cpp.

Referenced by operator-(), and TPZMatrix< STATE >::PutVal().

◆ Swap()

template<class TVar >

void TPZMatrix< TVar >::Swap	(	int64_t *	a,
		int64_t *	b
	)

inlinestaticprotected

Swaps contents of a in b and b in a.

Definition at line 949 of file pzmatrix.h.

Referenced by TPZSkylMatrix< TVar >::AddKel(), TPZMatrix< STATE >::Clear(), TPZSSpMatrix< TVar >::GetVal(), TPZSFMatrix< TVar >::GetVal(), TPZSBMatrix< TVar >::GetVal(), TPZSkylMatrix< TVar >::GetVal(), TPZSBMatrix< TVar >::operator()(), TPZSkylMatrix< TVar >::operator()(), TPZSSpMatrix< TVar >::PutVal(), TPZSFMatrix< TVar >::PutVal(), TPZSBMatrix< TVar >::PutVal(), and TPZSkylMatrix< TVar >::PutVal().

◆ Transpose()

template<class TVar>

void TPZMatrix< TVar >::Transpose ( TPZMatrix< TVar > *const T ) const

virtual

It makes *T the transpose of current matrix.

Reimplemented in TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< STATE >, TPZFBMatrix< TVar >, TPZVerySparseMatrix< TVar >, TPZBlockDiagonal< TVar >, and TPZBlockDiagonal< STATE >.

Definition at line 697 of file pzmatrix.cpp.

Referenced by TPZMatrix< STATE >::PutVal(), and TPZVerySparseMatrix< TVar >::Transpose().

◆ UpdateFrom()

template<class TVar = REAL>

virtual void TPZMatrix< TVar >::UpdateFrom ( TPZAutoPointer< TPZMatrix< TVar > > )

inlinevirtual

Updates the values of the matrix based on the values of the matrix.

Reimplemented in TPZSkylMatrix< TVar >, TPZFMatrix< TVar >, TPZFMatrix< REAL >, TPZFMatrix< TTVar >, TPZFMatrix< STATE >, TPZSkylNSymMatrix< TVar >, TPZBlockDiagonal< TVar >, TPZBlockDiagonal< STATE >, and TPZSparseBlockDiagonal< TVar >.

Definition at line 387 of file pzmatrix.h.

◆ VerifySymmetry()

template<class TVar >

int TPZMatrix< TVar >::VerifySymmetry ( REAL tol = 1.e-13 ) const

virtual

Checks if current matrix value is symmetric.

Definition at line 1501 of file pzmatrix.cpp.

Referenced by TPZNonLinearPoisson3d::Contribute(), TPZElasticity3D::Contribute(), TPZMatLaplacian::Contribute(), TPZMatPoisson3d::Contribute(), TPZNonLinearPoisson3d::ContributeBC(), TPZBurger::ContributeBC(), TPZMatLaplacian::ContributeBC(), TPZMatPoisson3d::ContributeBC(), TPZMatLaplacian::ContributeBCHDiv(), TPZMatPoisson3d::ContributeBCHDiv(), TPZBurger::ContributeBCInterface(), TPZNonLinearPoisson3d::ContributeBCInterface(), TPZMatLaplacian::ContributeBCInterface(), TPZMatPoisson3d::ContributeBCInterface(), TPZBurger::ContributeGradStab(), TPZNonLinearPoisson3d::ContributeInterface(), TPZBurger::ContributeInterface(), TPZMatLaplacian::ContributeInterface(), TPZMatPoisson3d::ContributeInterface(), TPZBurger::ContributeSUPG(), TPZMatrix< STATE >::CopyFrom(), TPZMatrix< STATE >::GetSub(), TPZMatrix< STATE >::SolveEigensystemJacobi(), and TPZMatrix< STATE >::SolveEigenvaluesJacobi().

◆ Write()

template<class TVar >

void TPZMatrix< TVar >::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Packs the object structure in a stream of bytes.

Parameters

buf	Buffer which will receive the bytes
withclassid

Reimplemented from TPZSavable.

Reimplemented in TPZFNMatrix< 9, T >, TPZFNMatrix< 3, T >, TPZFNMatrix< 30, std::complex< double > >, TPZSkylMatrix< TVar >, TPZFMatrix< int >, TPZFMatrix< T >, TPZFMatrix< std::complex< double > >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrMatrix< TVar, TSubStruct >, TPZMatRed< TVar, TPZFMatrix< TVar > >, TPZSkylNSymMatrix< TVar >, TPZDohrMatrix< TVar, TSubStruct >, TPZDohrPrecond< TVar, TSubStruct >, and TPZVerySparseMatrix< TVar >.

Definition at line 1420 of file pzmatrix.cpp.

Referenced by TPZSkylMatrix< TVar >::AutoFill(), TPZMatrix< STATE >::Decompose(), main(), TPZDohrPrecond< TVar, TSubStruct >::Write(), TPZDohrMatrix< TVar, TSubStruct >::Write(), TPZSkylNSymMatrix< TVar >::Write(), TPZMatRed< TTVar, TPZFMatrix< TTVar > >::Write(), TPZFMatrix< STATE >::Write(), and TPZSkylMatrix< TVar >::Write().

◆ Zero()

template<class TVar = REAL>

virtual int TPZMatrix< TVar >::Zero ( )

inlinevirtual

Friends And Related Function Documentation

◆ operator>>

template<class TVar = REAL>

template<class TT >

std::istream& operator>>	(	std::istream &	in,
		TPZMatrix< TT > &	A
	)

friend

Input operation.

Referenced by TPZMatrix< STATE >::PutVal().

Member Data Documentation

◆ fCol

template<class TVar = REAL>

int64_t TPZMatrix< TVar >::fCol

protected

Number of cols in matrix.

Definition at line 781 of file pzmatrix.h.

◆ fDecomposed

template<class TVar = REAL>

char TPZMatrix< TVar >::fDecomposed

protected

Decomposition type used to decompose the current matrix.

Definition at line 783 of file pzmatrix.h.

◆ fDefPositive

template<class TVar = REAL>

char TPZMatrix< TVar >::fDefPositive

protected

Definite Posistiveness of current matrix.

Definition at line 785 of file pzmatrix.h.

Referenced by TPZSkylNSymMatrix< TVar >::Copy(), TPZSkylMatrix< TVar >::Copy(), TPZMatrix< STATE >::CopyFrom(), TPZSSpMatrix< TVar >::Decompose_Cholesky(), TPZSFMatrix< TVar >::Decompose_Cholesky(), TPZSkylMatrix< TVar >::Decompose_Cholesky(), TPZSkylMatrix< TVar >::Decompose_Cholesky_blk(), TPZSSpMatrix< TVar >::Decompose_LDLt(), TPZSBMatrix< TVar >::Decompose_LDLt(), TPZSFMatrix< TVar >::Decompose_LDLt(), TPZFMatrix< STATE >::Decompose_LDLt(), TPZSkylMatrix< TVar >::Decompose_LDLt(), TPZMatrix< STATE >::Decompose_LDLt(), TPZSkylNSymMatrix< TVar >::Decompose_LU(), TPZSSpMatrix< TVar >::operator=(), TPZSFMatrix< TVar >::operator=(), TPZVerySparseMatrix< TVar >::Read(), TPZMatrix< STATE >::Read(), TPZSBMatrix< TVar >::Redim(), TPZSFMatrix< TVar >::Redim(), TPZSBMatrix< TVar >::SetBand(), TPZFMatrix< STATE >::Substitution(), TPZMatrix< STATE >::TPZMatrix(), TPZSSpMatrix< TVar >::TPZSSpMatrix(), TPZSkylNSymMatrix< TVar >::UpdateFrom(), TPZSkylMatrix< TVar >::UpdateFrom(), TPZVerySparseMatrix< TVar >::Write(), TPZMatrix< STATE >::Write(), TPZSBMatrix< TVar >::Zero(), TPZSFMatrix< TVar >::Zero(), TPZSkylMatrix< TVar >::Zero(), and TPZMatrix< STATE >::~TPZMatrix().

◆ fRow

template<class TVar = REAL>

int64_t TPZMatrix< TVar >::fRow

protected

Number of rows in matrix.

Definition at line 779 of file pzmatrix.h.

◆ gZero

template<class TVar = REAL>

TVar TPZMatrix< TVar >::gZero

staticprotected

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

Matrix/pzmatrix.h
Matrix/pzmatrix.cpp

Public Member Functions

Static Public Member Functions

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Static Protected Attributes

Generic

Solvers

Detailed Description

template<class TVar = REAL> class TPZMatrix< TVar >

Constructor & Destructor Documentation

◆ TPZMatrix() [1/3]

◆ TPZMatrix() [2/3]

◆ ~TPZMatrix()

◆ TPZMatrix() [3/3]

Member Function Documentation

◆ Add()

◆ AddKel() [1/2]

◆ AddKel() [2/2]

◆ AddSub() [1/2]

◆ AddSub() [2/2]

◆ AutoFill()

◆ ClassId()

◆ Clear()

◆ Clone()

◆ Cols()

◆ Compare() [1/2]

◆ Compare() [2/2]

◆ CompareValues()

◆ ConditionNumber()

◆ CopyFrom()

◆ Decompose()

◆ Decompose_Cholesky() [1/2]

◆ Decompose_Cholesky() [2/2]

◆ Decompose_LDLt() [1/2]

◆ Decompose_LDLt() [2/2]

◆ Decompose_LU() [1/2]

◆ Decompose_LU() [2/2]

◆ Dim()

◆ Error()

◆ g()

◆ Get()

◆ GetSub() [1/2]

◆ GetSub() [2/2]

◆ GetVal()

◆ Identity()

◆ Input()

◆ InsertSub()

◆ Inverse()

◆ IsDecomposed()

◆ IsDefPositive()

◆ IsSimetric()

◆ IsSquare()

◆ MatrixNorm()

◆ MemoryFootprint()

◆ MultAdd()

◆ Multiply()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ PrepareZ()

◆ Print() [1/5]

◆ Print() [2/5]

◆ Print() [3/5]

◆ Print() [4/5]

◆ Print() [5/5]

◆ Put()

◆ PutSub()

◆ PutVal()

◆ Read()

◆ Redim()

◆ Residual()

◆ Resize()

◆ ReturnNearestValue()

◆ Rows()

◆ s()

◆ SetIsDecomposed()

◆ Simetrize()

◆ Solve_Cholesky() [1/2]

◆ Solve_Cholesky() [2/2]

◆ Solve_LDLt() [1/2]

template<class TVar = REAL>
class TPZMatrix< TVar >