Derivation using decompose LU with pivot. Matrix. More...

#include <pzspblockdiagpivot.h>

Inheritance diagram for TPZSpBlockDiagPivot< TVar >:

Collaboration diagram for TPZSpBlockDiagPivot< TVar >:

Public Member Functions
	TPZSpBlockDiagPivot ()

	~TPZSpBlockDiagPivot ()

virtual int	Decompose_LU ()

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

virtual int	Substitution (TPZFMatrix< TVar > *B) const
	Makes the backward and forward substitutions whether the matrix was LU decomposed. More...

Public Member Functions inherited from TPZSparseBlockDiagonal< TVar >
	TPZSparseBlockDiagonal ()

	TPZSparseBlockDiagonal (TPZVec< int64_t > &blockgraph, TPZVec< int64_t > &blockgraphindex, int64_t rows)

	TPZSparseBlockDiagonal (TPZVec< int64_t > &blockgraph, TPZVec< int64_t > &blockgraphindex, int64_t rows, int color, TPZVec< int > &colors)

	~TPZSparseBlockDiagonal ()

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

const TVar &	GetVal (const int64_t row, const int64_t col) const override
	This method don't make verification if the element exist. It is fast than Get. More...

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

int	PutVal (const int64_t row, const int64_t col, const TVar &value) override
	This method don't make verification if the element exist. It is fast than Put. More...

TVar &	operator() (const int64_t row, const int64_t col)

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

virtual void	Print (const char *message, std::ostream &out, const MatrixOutputFormat=EFormatted) const override
	Prints current matrix data. More...

void	AddBlock (int64_t i, TPZFMatrix< TVar > &block)

void	BuildFromMatrix (TPZMatrix< TVar > &matrix)

void	GetBlock (int64_t i, TPZFMatrix< TVar > &block)

void	MultAdd (const TPZFMatrix< TVar > &x, const TPZFMatrix< TVar > &y, TPZFMatrix< TVar > &z, const TVar alpha, const TVar beta, const int opt) const override
	Computes z = alpha * opt(this)x + beta y. More...

void	FindBlockIndex (int64_t glob, int64_t &block, int64_t &blockind) const

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

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

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

	TPZBlockDiagonal (const TPZVec< int > &blocksizes, const TPZFMatrix< TVar > &glob)
	Constructor with initialization parameters. More...

	TPZBlockDiagonal (const TPZVec< int > &blocksizes)
	Constructor with initialization parameters. More...

	TPZBlockDiagonal (const TPZBlockDiagonal &)
	Copy constructor. More...

	~TPZBlockDiagonal ()
	Simple destructor. More...

TVar &	operator() (const int64_t row, const int64_t col)

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

int	Zero () override
	Zeroes all the elements of the matrix. More...

int	GetSizeofBlock (int64_t blockid)
	Return the choosen block size. More...

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

void	AutoFill (int64_t dim, int64_t dimj, int symmetric)

void	Initialize (const TPZVec< int > &blocksize)
	Initializes current matrix based on blocksize. More...

void	AddBlock (int64_t i, TPZFMatrix< TVar > &block)
	Adds a block to current matrix. More...

void	SetBlock (int64_t i, TPZFMatrix< TVar > &block)
	Sets a block in the current matrix. More...

void	GetBlock (int64_t i, TPZFMatrix< TVar > &block)
	Gets a block from current matrix. More...

void	BuildFromMatrix (TPZMatrix< TVar > &matrix)
	Builds a block from matrix. More...

int64_t	NumberofBlocks ()

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

	TPZMatrix (const TPZMatrix< TVar > &cp)

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

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

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

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

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

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

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...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual void	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...

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual int	Decompose_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...

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...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

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

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

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

	TPZRegisterClassId ()=default

Private Member Functions
int	Substitution2 (TPZFMatrix< TVar > *B) const

Private Attributes
TPZVec< int >	fPivotIndices
	Attribute to store equation changes in LU decomposition. More...

Additional Inherited Members
Static Public Member Functions inherited from TPZBlockDiagonal< TVar >
static int	main ()
	This method checks the working of the class. More...

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

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

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

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

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

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Protected Member Functions inherited from TPZSparseBlockDiagonal< TVar >
void	Scatter (const TPZFMatrix< TVar > &in, TPZFMatrix< TVar > &out) const

void	Gather (const TPZFMatrix< TVar > &in, TPZFMatrix< TVar > &out) const

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

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

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

Protected Attributes inherited from TPZSparseBlockDiagonal< TVar >
TPZVec< int64_t >	fBlock
	Equation numbers for each block. More...

TPZVec< int64_t >	fBlockIndex
	Index to first element of each block. More...

Protected Attributes inherited from TPZBlockDiagonal< TVar >
TPZVec< TVar >	fStorage
	Stores matrix data. More...

TPZVec< int64_t >	fBlockPos
	Stores blocks data. More...

TPZVec< int >	fBlockSize
	Stores block sizes data. More...

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

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

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

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

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