TLL Class Reference

computes Cholesky factorisation \( A = LL^T \) or \( A=LL^H \) More...

#include <mat_fac.hh>

Public Member Functions
void	factorise (TMatrix *A, const TTruncAcc &acc) const
auto	eval_matrix (TMatrix *L, const matform_t matform) const -> std::unique_ptr< TFacMatrix >
auto	inv_matrix (TMatrix *L, const matform_t matform) const -> std::unique_ptr< TFacInvMatrix >
size_t	pm_steps (const TMatrix *A) const
	return number of factorisation steps for A for progress meter

Public Attributes
	__pad0__: _options( opts ) {} ~TLL () {} void set_options ( const fac_options_t opts ) { _options = opts
	standard constructor with optional Cholesky settings

Detailed Description

This class computes the Cholesky factorisation \(A = LL^T\) ( \(A = LL^H\)) of a symmetric (hermitian) matrix \(A\) with lower triangular matrix \(L\).

Support for multiple threads is available, although the expectable speedup is limited, e.g. best suited for at most 4 threads.

Member Function Documentation

eval_matrix()

auto eval_matrix	(	TMatrix *	L,
		const matform_t	matform
	)		const -> std::unique_ptr< TFacMatrix >

return suitable representation for evaluating Cholesky factor L

Parameters

L	Cholesky factor to be represented
matform	format of original, non-factorised matrix

factorise()

void factorise	(	TMatrix *	A,
		const TTruncAcc &	acc
	)		const

compute Cholesky factorisation of given matrix

Parameters

A	on input matrix to factorise; on output factor L
acc	accuracy of factorisation

inv_matrix()

auto inv_matrix	(	TMatrix *	L,
		const matform_t	matform
	)		const -> std::unique_ptr< TFacInvMatrix >

return suitable inverse representation of Cholesky factor L

Parameters

L	Cholesky factor to be represented
matform	format of original, non-factorised matrix