This module groups a collection of all matrix classes and solvers available in the PZ environment. More...

Collaboration diagram for The Matrix classes:

Modules
	The matrix utility classes
	Implements helper classes for matrices.

Classes
class	TPZBlockDiagonal< TVar >
	Defines block diagonal matrices. Matrix. More...

class	TPZFBMatrix< TVar >
	Defines a non symmetric banded matrix. Matrix. More...

class	TPZDiffMatrix< T >
	Matrix class to hold the flux derivatives A B C and diffusive matrix coefficients. Matrix. More...

class	TPZSpMatrix< TVar >
	Defines sparce matrix class. Matrix. More...

class	TPZFMatrix< TVar >
	Full matrix class. Matrix. More...

class	TPZFNMatrix< N, TVar >
	Non abstract class which implements full matrices with preallocated storage with (N+1) entries. Matrix. More...

class	TPZMatRed< TVar, TSideMatrix >
	Implements a simple substructuring of a linear system of equations, composed of 4 submatrices. Matrix. More...

class	TPZMatrix< TVar >
	Root matrix class (abstract). Matrix. More...

class	TPZSBMatrix< TVar >
	Implements symmetric band matrices. Matrix. More...

class	TPZSSpMatrix< TVar >
	Implements sparce symmetric matrix using a linked list of elements. Matrix. More...

class	TPZSFMatrix< TVar >
	Implements a symmetric full matrix. Matrix. More...

class	TPZGenMatrix< TObj >
	Implements generic class which holds a matrix of objects. Matrix. More...

class	TPZGenAMatrix< TObj >
	Implements a generic matrix of objects which implement arithmetic operations. Matrix. More...

class	TPZSkylMatrix< TVar >
	Implements a skyline storage format. A Skyline matrix is symmetric so square. Matrix. More...

class	TPZSkylParMatrix< TVar >
	Implements a skyline storage format to parallelized process. Matrix. More...

class	TPZSpBlockDiagPivot< TVar >
	Derivation using decompose LU with pivot. Matrix. More...

class	TPZStencilMatrix< TVar >
	Implements a sparse matrix defined by a stencil. Matrix. More...

class	TPZSYsmpMatrix< TVar >
	Implements a symmetric sparse matrix. Matrix. More...

class	TPZFYsmpMatrix< TVar >
	Implements a non symmetric sparse matrix (Yale Sparse Matrix Storage). Matrix. More...

class	TPZSparseBlockDiagonal< TVar >
	Implements a block diagonal matrix where the blocks are not contiguous. Matrix. More...

class	TPZVerySparseMatrix< TVar >
	Implements a matrix whose nonzero elements are stored in binary tree. Matrix. More...

class	TPZTransfer< TVar >
	Implements rectangular matrix which extends a solution vector of the coarse mesh to a solution vector in the fine mesh. Matrix. More...

class	TPZDohrMatrix< TVar, TSubStruct >
	Implements a matrix divided into substructures. Matrix Sub structure. More...

Macros
#define	GETVAL(MAT, rows, row, col)
	MACRO to get MAT(row,col) entry. More...

#define	PUTVAL(MAT, rows, row, col, val)
	MACRO to put value val into MAT(row,col) entry. More...

#define	SELECTEL(ptr, rows, row, col)
	MACRO to get the entry of the vector (ptr[col*rows+row]) as matrix ( ptr(row,col) ) More...

#define	TPZVERYSPARSEMATRIX_ID

Enumerations
enum	EStatus { EOk, EIncompDim, EZeroPivot }

enum	DecomposeType { ENoDecompose, ELU, ELUPivot, ECholesky, ELDLt }
	Defines decomposition type for any matrix classes. More...

enum	MatrixOutputFormat { EFormatted, EInputFormat, EMathematicaInput, EMatlabNonZeros, EMatrixMarket }
	Defines output format. More...

Functions
template<class TVar >
TVar	Dot (const TPZFMatrix< TVar > &A, const TPZFMatrix< TVar > &B)
	Returns a dot product to matrices. More...

template<class TVar >
TVar	Norm (const TPZFMatrix< TVar > &A)
	Returns the norm of the matrix A. More...

Detailed Description

This module groups a collection of all matrix classes and solvers available in the PZ environment.

Macro Definition Documentation

◆ GETVAL

#define GETVAL	(	MAT,
		rows,
		row,
		col
	)

MACRO to get MAT(row,col) entry.

Definition at line 45 of file pzfmatrix.h.

Referenced by TPZFMatrix< STATE >::Substitution().

◆ PUTVAL

#define PUTVAL	(	MAT,
		rows,
		row,
		col,
		val
	)

MACRO to put value val into MAT(row,col) entry.

Definition at line 47 of file pzfmatrix.h.

Referenced by TPZFMatrix< STATE >::Substitution().

◆ SELECTEL

#define SELECTEL	(	ptr,
		rows,
		row,
		col
	)

MACRO to get the entry of the vector (ptr[col*rows+row]) as matrix ( ptr(row,col) )

Definition at line 49 of file pzfmatrix.h.

Referenced by TPZFMatrix< STATE >::PrintStatic(), and TPZFMatrix< STATE >::Substitution().

◆ TPZVERYSPARSEMATRIX_ID

#define TPZVERYSPARSEMATRIX_ID

Definition at line 14 of file tpzverysparsematrix.h.

Enumeration Type Documentation

◆ DecomposeType

enum DecomposeType

Defines decomposition type for any matrix classes.

Parameters

ENoDecompose	Not decomposed
ELU	Decomposed using LU method
ECholesky	Decomposed using Cholesky method
ELDLt	Decomposed using LDLt method

Enumerator
ENoDecompose
ELU
ELUPivot
ECholesky
ELDLt

Definition at line 52 of file pzmatrix.h.

◆ EStatus

enum EStatus

Enumerator
EOk
EIncompDim
EZeroPivot

Definition at line 17 of file pzdiffmatrix.h.

◆ MatrixOutputFormat

enum MatrixOutputFormat

Defines output format.

Enumerator
EFormatted
EInputFormat
EMathematicaInput
EMatlabNonZeros
EMatrixMarket

Definition at line 55 of file pzmatrix.h.

Function Documentation

◆ Dot()

template<class TVar >

TVar Dot	(	const TPZFMatrix< TVar > &	A,
		const TPZFMatrix< TVar > &	B
	)

Returns a dot product to matrices.

Definition at line 2083 of file pzfmatrix.cpp.

References TPZMatrix< TVar >::Cols(), Dot(), TPZFMatrix< TVar >::g(), and TPZMatrix< TVar >::Rows().

Referenced by BiCG(), BiCGSTAB(), CG(), TPZTensor< STATE >::ComputeEigenvector0(), Dot(), GMRES(), and Norm().

◆ Norm()

template<class TVar >

TVar Norm ( const TPZFMatrix< TVar > & A )

Returns the norm of the matrix A.

Modules

Classes

Macros

Enumerations

Functions