MFEM  v4.0
Finite element discretization library
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Pages
Public Member Functions | List of all members
mfem::DenseMatrixInverse Class Reference

#include <densemat.hpp>

Inheritance diagram for mfem::DenseMatrixInverse:
[legend]
Collaboration diagram for mfem::DenseMatrixInverse:
[legend]

Public Member Functions

 DenseMatrixInverse ()
 Default constructor. More...
 
 DenseMatrixInverse (const DenseMatrix &mat)
 
 DenseMatrixInverse (const DenseMatrix *mat)
 Same as above but does not factorize the matrix. More...
 
int Size () const
 Get the size of the inverse matrix. More...
 
void Factor ()
 Factor the current DenseMatrix, *a. More...
 
void Factor (const DenseMatrix &mat)
 Factor a new DenseMatrix of the same size. More...
 
virtual void SetOperator (const Operator &op)
 Set/update the solver for the given operator. More...
 
virtual void Mult (const Vector &x, Vector &y) const
 Matrix vector multiplication with the inverse of dense matrix. More...
 
void Mult (const DenseMatrix &B, DenseMatrix &X) const
 Multiply the inverse matrix by another matrix: X = A^{-1} B. More...
 
void Mult (DenseMatrix &X) const
 Multiply the inverse matrix by another matrix: X <- A^{-1} X. More...
 
void GetInverseMatrix (DenseMatrix &Ainv) const
 Compute and return the inverse matrix in Ainv. More...
 
double Det () const
 Compute the determinant of the original DenseMatrix using the LU factors. More...
 
void TestInversion ()
 Print the numerical conditioning of the inversion: ||A^{-1} A - I||. More...
 
virtual ~DenseMatrixInverse ()
 Destroys dense inverse matrix. More...
 
- Public Member Functions inherited from mfem::MatrixInverse
 MatrixInverse ()
 
 MatrixInverse (const Matrix &mat)
 Creates approximation of the inverse of square matrix. More...
 
- Public Member Functions inherited from mfem::Solver
 Solver (int s=0, bool iter_mode=false)
 Initialize a square Solver with size s. More...
 
 Solver (int h, int w, bool iter_mode=false)
 Initialize a Solver with height h and width w. More...
 
- Public Member Functions inherited from mfem::Operator
 Operator (int s=0)
 Construct a square Operator with given size s (default 0). More...
 
 Operator (int h, int w)
 Construct an Operator with the given height (output size) and width (input size). More...
 
int Height () const
 Get the height (size of output) of the Operator. Synonym with NumRows(). More...
 
int NumRows () const
 Get the number of rows (size of output) of the Operator. Synonym with Height(). More...
 
int Width () const
 Get the width (size of input) of the Operator. Synonym with NumCols(). More...
 
int NumCols () const
 Get the number of columns (size of input) of the Operator. Synonym with Width(). More...
 
virtual MemoryClass GetMemoryClass () const
 Return the MemoryClass preferred by the Operator. More...
 
virtual void MultTranspose (const Vector &x, Vector &y) const
 Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error. More...
 
virtual OperatorGetGradient (const Vector &x) const
 Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error. More...
 
virtual const OperatorGetProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. More...
 
virtual const OperatorGetRestriction () const
 Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. More...
 
void FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0)
 Form a constrained linear system using a matrix-free approach. More...
 
virtual void RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
 Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem(). More...
 
void PrintMatlab (std::ostream &out, int n=0, int m=0) const
 Prints operator with input size n and output size m in Matlab format. More...
 
virtual ~Operator ()
 Virtual destructor. More...
 
Type GetType () const
 Return the type ID of the Operator class. More...
 

Additional Inherited Members

- Public Types inherited from mfem::Operator
enum  Type {
  ANY_TYPE, MFEM_SPARSEMAT, Hypre_ParCSR, PETSC_MATAIJ,
  PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST, PETSC_MATHYPRE,
  PETSC_MATGENERIC
}
 Enumeration defining IDs for some classes derived from Operator. More...
 
- Public Attributes inherited from mfem::Solver
bool iterative_mode
 If true, use the second argument of Mult() as an initial guess. More...
 
- Protected Attributes inherited from mfem::Operator
int height
 Dimension of the output / number of rows in the matrix. More...
 
int width
 Dimension of the input / number of columns in the matrix. More...
 

Detailed Description

Data type for inverse of square dense matrix. Stores LU factors

Definition at line 549 of file densemat.hpp.

Constructor & Destructor Documentation

mfem::DenseMatrixInverse::DenseMatrixInverse ( )
inline

Default constructor.

Definition at line 557 of file densemat.hpp.

mfem::DenseMatrixInverse::DenseMatrixInverse ( const DenseMatrix mat)

Creates square dense matrix. Computes factorization of mat and stores LU factors.

Definition at line 4231 of file densemat.cpp.

mfem::DenseMatrixInverse::DenseMatrixInverse ( const DenseMatrix mat)

Same as above but does not factorize the matrix.

Definition at line 4241 of file densemat.cpp.

mfem::DenseMatrixInverse::~DenseMatrixInverse ( )
virtual

Destroys dense inverse matrix.

Definition at line 4313 of file densemat.cpp.

Member Function Documentation

double mfem::DenseMatrixInverse::Det ( ) const
inline

Compute the determinant of the original DenseMatrix using the LU factors.

Definition at line 590 of file densemat.hpp.

void mfem::DenseMatrixInverse::Factor ( )

Factor the current DenseMatrix, *a.

Definition at line 4250 of file densemat.cpp.

void mfem::DenseMatrixInverse::Factor ( const DenseMatrix mat)

Factor a new DenseMatrix of the same size.

Definition at line 4268 of file densemat.cpp.

void mfem::DenseMatrixInverse::GetInverseMatrix ( DenseMatrix Ainv) const

Compute and return the inverse matrix in Ainv.

Definition at line 4262 of file densemat.cpp.

void mfem::DenseMatrixInverse::Mult ( const Vector x,
Vector y 
) const
virtual

Matrix vector multiplication with the inverse of dense matrix.

Implements mfem::Operator.

Definition at line 4290 of file densemat.cpp.

void mfem::DenseMatrixInverse::Mult ( const DenseMatrix B,
DenseMatrix X 
) const

Multiply the inverse matrix by another matrix: X = A^{-1} B.

Definition at line 4296 of file densemat.cpp.

void mfem::DenseMatrixInverse::Mult ( DenseMatrix X) const
inline

Multiply the inverse matrix by another matrix: X <- A^{-1} X.

Definition at line 584 of file densemat.hpp.

void mfem::DenseMatrixInverse::SetOperator ( const Operator op)
virtual

Set/update the solver for the given operator.

Implements mfem::Solver.

Definition at line 4283 of file densemat.cpp.

int mfem::DenseMatrixInverse::Size ( ) const
inline

Get the size of the inverse matrix.

Definition at line 567 of file densemat.hpp.

void mfem::DenseMatrixInverse::TestInversion ( )

Print the numerical conditioning of the inversion: ||A^{-1} A - I||.

Definition at line 4302 of file densemat.cpp.


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