mfem::ComplexCholeskyFactors Class Reference

#include <complex_densemat.hpp>

Inheritance diagram for mfem::ComplexCholeskyFactors:

Collaboration diagram for mfem::ComplexCholeskyFactors:

Public Member Functions
	ComplexCholeskyFactors ()
	ComplexCholeskyFactors (double *data_r_, double *data_i_)
virtual bool	Factor (int m, double TOL=0.0)
	Compute the Cholesky factorization of the current matrix. More...
virtual std::complex< double >	Det (int m) const
void	LMult (int m, int n, double *X_r, double *X_i) const
void	UMult (int m, int n, double *X_r, double *X_i) 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.L^H = 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 ()

Additional Inherited Members
Public Attributes inherited from mfem::ComplexFactors
double *	data_r = nullptr
double *	data_i = nullptr
std::complex< double > *	data = nullptr
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 can compute Cholesky factorizations of external data of an Hermitian positive matrix and perform various operations with the factored data.

Definition at line 186 of file complex_densemat.hpp.

Constructor & Destructor Documentation

ComplexCholeskyFactors() [1/2]

mfem::ComplexCholeskyFactors::ComplexCholeskyFactors ( )

inline

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

Definition at line 192 of file complex_densemat.hpp.

ComplexCholeskyFactors() [2/2]

mfem::ComplexCholeskyFactors::ComplexCholeskyFactors ( double *  data_r_, double *  data_i_  )

inline

Definition at line 194 of file complex_densemat.hpp.

Member Function Documentation

Det()

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

virtual

Assuming LL^H = A factored data of size (m x m), compute |A| from the diagonal values of L

Reimplemented from mfem::ComplexFactors.

Definition at line 789 of file complex_densemat.cpp.

Factor()

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

virtual

Compute the Cholesky factorization of the current matrix.

Factorize the current matrix of size (m x m) overwriting it with the Cholesky factors. The factorization is such that LL^H = A, where A is the original matrix

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 749 of file complex_densemat.cpp.

GetInverseMatrix()

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

virtual

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

Reimplemented from mfem::ComplexFactors.

Definition at line 978 of file complex_densemat.cpp.

LMult()

void mfem::ComplexCholeskyFactors::LMult	(	int	m,
		int	n,
		double *	X_r,
		double *	X_i
	)		const

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

Definition at line 799 of file complex_densemat.cpp.

LSolve()

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

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

Definition at line 844 of file complex_densemat.cpp.

RightSolve()

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

Assuming L.L^H = 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 926 of file complex_densemat.cpp.

Solve()

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

virtual

Assuming L.L^H = 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 909 of file complex_densemat.cpp.

UMult()

void mfem::ComplexCholeskyFactors::UMult	(	int	m,
		int	n,
		double *	X_r,
		double *	X_i
	)		const

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

Definition at line 822 of file complex_densemat.cpp.

USolve()

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

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

Definition at line 876 of file complex_densemat.cpp.

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

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