MFEM v4.7.0
Finite element discretization library
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mfem::ComplexDenseMatrix Class Reference

Specialization of the ComplexOperator built from a pair of Dense Matrices. The purpose of this specialization is to support the inverse of a ComplexDenseMatrix and various MatMat operations See ComplexOperator documentation for more information. More...

#include <complex_densemat.hpp>

Inheritance diagram for mfem::ComplexDenseMatrix:
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Collaboration diagram for mfem::ComplexDenseMatrix:
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Public Member Functions

 ComplexDenseMatrix (DenseMatrix *A_Real, DenseMatrix *A_Imag, bool ownReal, bool ownImag, Convention convention=HERMITIAN)
 
virtual DenseMatrixreal ()
 Real or imaginary part accessor methods.
 
virtual DenseMatriximag ()
 
virtual const DenseMatrixreal () const
 
virtual const DenseMatriximag () const
 
DenseMatrixGetSystemMatrix () const
 
virtual Type GetType () const
 
ComplexDenseMatrixComputeInverse ()
 
- Public Member Functions inherited from mfem::ComplexOperator
 ComplexOperator (Operator *Op_Real, Operator *Op_Imag, bool ownReal, bool ownImag, Convention convention=HERMITIAN)
 Constructs complex operator object.
 
virtual ~ComplexOperator ()
 
bool hasRealPart () const
 Check for existence of real or imaginary part of the operator.
 
bool hasImagPart () const
 
virtual void Mult (const Vector &x, Vector &y) const
 Operator application: y=A(x).
 
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.
 
Convention GetConvention () const
 
- Public Member Functions inherited from mfem::Operator
void InitTVectors (const Operator *Po, const Operator *Ri, const Operator *Pi, Vector &x, Vector &b, Vector &X, Vector &B) const
 Initializes memory for true vectors of linear system.
 
 Operator (int s=0)
 Construct a square Operator with given size s (default 0).
 
 Operator (int h, int w)
 Construct an Operator with the given height (output size) and width (input size).
 
int Height () const
 Get the height (size of output) of the Operator. Synonym with NumRows().
 
int NumRows () const
 Get the number of rows (size of output) of the Operator. Synonym with Height().
 
int Width () const
 Get the width (size of input) of the Operator. Synonym with NumCols().
 
int NumCols () const
 Get the number of columns (size of input) of the Operator. Synonym with Width().
 
virtual MemoryClass GetMemoryClass () const
 Return the MemoryClass preferred by the Operator.
 
virtual void AddMult (const Vector &x, Vector &y, const real_t a=1.0) const
 Operator application: y+=A(x) (default) or y+=a*A(x).
 
virtual void AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const
 Operator transpose application: y+=A^t(x) (default) or y+=a*A^t(x).
 
virtual void ArrayMult (const Array< const Vector * > &X, Array< Vector * > &Y) const
 Operator application on a matrix: Y=A(X).
 
virtual void ArrayMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y) const
 Action of the transpose operator on a matrix: Y=A^t(X).
 
virtual void ArrayAddMult (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
 Operator application on a matrix: Y+=A(X) (default) or Y+=a*A(X).
 
virtual void ArrayAddMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
 Operator transpose application on a matrix: Y+=A^t(X) (default) or Y+=a*A^t(X).
 
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.
 
virtual void AssembleDiagonal (Vector &diag) const
 Computes the diagonal entries into diag. Typically, this operation only makes sense for linear Operators. In some cases, only an approximation of the diagonal is computed.
 
virtual const OperatorGetProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity.
 
virtual const OperatorGetRestriction () const
 Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity.
 
virtual const OperatorGetOutputProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity.
 
virtual const OperatorGetOutputRestrictionTranspose () const
 Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.
 
virtual const OperatorGetOutputRestriction () const
 Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. NULL means identity.
 
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.
 
void FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B)
 Form a column-constrained linear system using a matrix-free approach.
 
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() or Operator::FormRectangularLinearSystem().
 
void FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A)
 Return in A a parallel (on truedofs) version of this square operator.
 
void FormRectangularSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Operator *&A)
 Return in A a parallel (on truedofs) version of this rectangular operator (including constraints).
 
void FormDiscreteOperator (Operator *&A)
 Return in A a parallel (on truedofs) version of this rectangular operator.
 
void PrintMatlab (std::ostream &out, int n, int m=0) const
 Prints operator with input size n and output size m in Matlab format.
 
virtual void PrintMatlab (std::ostream &out) const
 Prints operator in Matlab format.
 
virtual ~Operator ()
 Virtual destructor.
 
Type GetType () const
 Return the type ID of the Operator class.
 

Additional Inherited Members

- Public Types inherited from mfem::ComplexOperator
enum  Convention { HERMITIAN , BLOCK_SYMMETRIC }
 
- Public Types inherited from mfem::Operator
enum  DiagonalPolicy { DIAG_ZERO , DIAG_ONE , DIAG_KEEP }
 Defines operator diagonal policy upon elimination of rows and/or columns. More...
 
enum  Type {
  ANY_TYPE , MFEM_SPARSEMAT , Hypre_ParCSR , PETSC_MATAIJ ,
  PETSC_MATIS , PETSC_MATSHELL , PETSC_MATNEST , PETSC_MATHYPRE ,
  PETSC_MATGENERIC , Complex_Operator , MFEM_ComplexSparseMat , Complex_Hypre_ParCSR ,
  Complex_DenseMat , MFEM_Block_Matrix , MFEM_Block_Operator
}
 Enumeration defining IDs for some classes derived from Operator. More...
 
- Protected Member Functions inherited from mfem::ComplexOperator
void Mult (const Vector &x_r, const Vector &x_i, Vector &y_r, Vector &y_i) const
 
void MultTranspose (const Vector &x_r, const Vector &x_i, Vector &y_r, Vector &y_i) const
 
- Protected Member Functions inherited from mfem::Operator
void FormConstrainedSystemOperator (const Array< int > &ess_tdof_list, ConstrainedOperator *&Aout)
 see FormSystemOperator()
 
void FormRectangularConstrainedSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, RectangularConstrainedOperator *&Aout)
 see FormRectangularSystemOperator()
 
OperatorSetupRAP (const Operator *Pi, const Operator *Po)
 Returns RAP Operator of this, using input/output Prolongation matrices Pi corresponds to "P", Po corresponds to "Rt".
 
- Protected Attributes inherited from mfem::ComplexOperator
OperatorOp_Real_
 
OperatorOp_Imag_
 
bool ownReal_
 
bool ownImag_
 
Convention convention_
 
Vector x_r_
 
Vector x_i_
 
Vector y_r_
 
Vector y_i_
 
Vectoru_
 
Vectorv_
 
- Protected Attributes inherited from mfem::Operator
int height
 Dimension of the output / number of rows in the matrix.
 
int width
 Dimension of the input / number of columns in the matrix.
 

Detailed Description

Specialization of the ComplexOperator built from a pair of Dense Matrices. The purpose of this specialization is to support the inverse of a ComplexDenseMatrix and various MatMat operations See ComplexOperator documentation for more information.

Definition at line 26 of file complex_densemat.hpp.

Constructor & Destructor Documentation

◆ ComplexDenseMatrix()

mfem::ComplexDenseMatrix::ComplexDenseMatrix ( DenseMatrix * A_Real,
DenseMatrix * A_Imag,
bool ownReal,
bool ownImag,
Convention convention = HERMITIAN )
inline

Definition at line 30 of file complex_densemat.hpp.

Member Function Documentation

◆ ComputeInverse()

ComplexDenseMatrix * mfem::ComplexDenseMatrix::ComputeInverse ( )

Definition at line 132 of file complex_densemat.cpp.

◆ GetSystemMatrix()

DenseMatrix * mfem::ComplexDenseMatrix::GetSystemMatrix ( ) const

Combine the blocks making up this complex operator into a single DenseMatrix. Note that this combined operator requires roughly twice the memory of the block structured operator.

Definition at line 94 of file complex_densemat.cpp.

◆ GetType()

virtual Type mfem::ComplexDenseMatrix::GetType ( ) const
inlinevirtual

Reimplemented from mfem::ComplexOperator.

Definition at line 46 of file complex_densemat.hpp.

◆ imag() [1/2]

DenseMatrix & mfem::ComplexDenseMatrix::imag ( )
virtual

Reimplemented from mfem::ComplexOperator.

Definition at line 76 of file complex_densemat.cpp.

◆ imag() [2/2]

const DenseMatrix & mfem::ComplexDenseMatrix::imag ( ) const
virtual

Reimplemented from mfem::ComplexOperator.

Definition at line 88 of file complex_densemat.cpp.

◆ real() [1/2]

DenseMatrix & mfem::ComplexDenseMatrix::real ( )
virtual

Real or imaginary part accessor methods.

The following accessor methods should only be called if the requested part of the operator is known to exist. This can be checked with hasRealPart() or hasImagPart().

Reimplemented from mfem::ComplexOperator.

Definition at line 70 of file complex_densemat.cpp.

◆ real() [2/2]

const DenseMatrix & mfem::ComplexDenseMatrix::real ( ) const
virtual

Reimplemented from mfem::ComplexOperator.

Definition at line 82 of file complex_densemat.cpp.


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