mfem::ComplexLUFactors Class Reference

#include <complex_densemat.hpp>

Inheritance diagram for mfem::ComplexLUFactors:

Collaboration diagram for mfem::ComplexLUFactors:

Public Member Functions
	ComplexLUFactors ()
	ComplexLUFactors (double *data_r_, double *data_i, int *ipiv_)
virtual bool	Factor (int m, double TOL=0.0)
	Compute the LU factorization of the current matrix. More...
virtual std::complex< double >	Det (int m) const
void	Mult (int m, int n, double *X_r, double *X_i) const
void	Mult (int m, int n, std::complex< double > *X) const
void	LSolve (int m, int n, double *X_r, double *X_i) const
void	USolve (int m, int n, double *X_r, double *X_i) const
virtual void	Solve (int m, int n, double *X_r, double *X_i) const
void	RightSolve (int m, int n, double *X_r, double *X_i) const
virtual void	GetInverseMatrix (int m, double *X_r, double *X_i) const
	Assuming L.U = P.A factored data of size (m x m), compute X <- A^{-1}. More...
Public Member Functions inherited from mfem::ComplexFactors
	ComplexFactors ()
	ComplexFactors (double *data_r_, double *data_i_)
void	SetComplexData (int m)
void	ResetComplexData (int m)
virtual	~ComplexFactors ()

Public Attributes
int *	ipiv
Public Attributes inherited from mfem::ComplexFactors
double *	data_r = nullptr
double *	data_i = nullptr
std::complex< double > *	data = nullptr

Static Public Attributes
static const int	ipiv_base = 1

Additional Inherited Members
Protected Member Functions inherited from mfem::ComplexFactors
std::complex< double > *	RealToComplex (int m, const double *x_r, const double *x_i) const
void	ComplexToReal (int m, const std::complex< double > *x, double *x_r, double *x_i) const

Detailed Description

Class that computes factorization of external data and perform various operations with the factored data.

Definition at line 123 of file complex_densemat.hpp.

Constructor & Destructor Documentation

ComplexLUFactors() [1/2]

mfem::ComplexLUFactors::ComplexLUFactors ( )

inline

With this constructor, the (public) data and ipiv members should be set explicitly before calling class methods.

Definition at line 135 of file complex_densemat.hpp.

ComplexLUFactors() [2/2]

mfem::ComplexLUFactors::ComplexLUFactors ( double *  data_r_, double *  data_i, int *  ipiv_  )

inline

Definition at line 137 of file complex_densemat.hpp.

Member Function Documentation

Det()

std::complex< double > mfem::ComplexLUFactors::Det ( int  m ) const

virtual

Assuming L.U = P.A factored data of size (m x m), compute |A| from the diagonal values of U and the permutation information.

Reimplemented from mfem::ComplexFactors.

Definition at line 508 of file complex_densemat.cpp.

Factor()

bool mfem::ComplexLUFactors::Factor ( int  m, double  TOL = 0.0  )

virtual

Compute the LU factorization of the current matrix.

Factorize the current matrix of size (m x m) overwriting it with the LU factors. The factorization is such that L.U = P.A, where A is the original matrix and P is a permutation matrix represented by ipiv.

Parameters

[in]	m	size of the square matrix
[in]	TOL	optional fuzzy comparison tolerance. Defaults to 0.0.

Returns

status set to true if successful, otherwise, false.

Reimplemented from mfem::ComplexFactors.

Definition at line 447 of file complex_densemat.cpp.

GetInverseMatrix()

void mfem::ComplexLUFactors::GetInverseMatrix ( int  m, double *  X_r, double *  X_i  ) const

virtual

Assuming L.U = P.A factored data of size (m x m), compute X <- A^{-1}.

Reimplemented from mfem::ComplexFactors.

Definition at line 682 of file complex_densemat.cpp.

LSolve()

void mfem::ComplexLUFactors::LSolve	(	int	m,
		int	n,
		double *	X_r,
		double *	X_i
	)		const

Assuming L.U = P.A factored data of size (m x m), compute X <- L^{-1} P X, for a matrix X of size (m x n).

Definition at line 561 of file complex_densemat.cpp.

Mult() [1/2]

void mfem::ComplexLUFactors::Mult	(	int	m,
		int	n,
		double *	X_r,
		double *	X_i
	)		const

Assuming L.U = P.A factored data of size (m x m), compute X <- A X, for a matrix X of size (m x n).

Definition at line 525 of file complex_densemat.cpp.

Mult() [2/2]

void mfem::ComplexLUFactors::Mult	(	int	m,
		int	n,
		std::complex< double > *	X
	)		const

RightSolve()

void mfem::ComplexLUFactors::RightSolve	(	int	m,
		int	n,
		double *	X_r,
		double *	X_i
	)		const

Assuming L.U = P.A factored data of size (m x m), compute X <- X A^{-1}, for a matrix X of size (n x m).

Definition at line 625 of file complex_densemat.cpp.

Solve()

void mfem::ComplexLUFactors::Solve ( int  m, int  n, double *  X_r, double *  X_i  ) const

virtual

Assuming L.U = P.A factored data of size (m x m), compute X <- A^{-1} X, for a matrix X of size (m x n).

Reimplemented from mfem::ComplexFactors.

Definition at line 608 of file complex_densemat.cpp.

USolve()

void mfem::ComplexLUFactors::USolve	(	int	m,
		int	n,
		double *	X_r,
		double *	X_i
	)		const

Assuming L.U = P.A factored data of size (m x m), compute X <- U^{-1} X, for a matrix X of size (m x n).

Definition at line 587 of file complex_densemat.cpp.

Member Data Documentation

ipiv

int* mfem::ComplexLUFactors::ipiv

Definition at line 126 of file complex_densemat.hpp.

ipiv_base

static const int mfem::ComplexLUFactors::ipiv_base = 1

static

Definition at line 128 of file complex_densemat.hpp.

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

• linalg/complex_densemat.hpp
• linalg/complex_densemat.cpp