LUDecomposition.hpp File Reference

Implementation of matrix LU-decomposition and associated operations. More...

#include <algorithm>
#include "CDPL/Math/VectorProxy.hpp"
#include "CDPL/Math/MatrixProxy.hpp"
#include "CDPL/Math/LinearSolve.hpp"

Go to the source code of this file.

Namespaces
	CDPL
	The namespace of the Chemical Data Processing Library.
	CDPL::Math
	Contains classes and functions related to mathematics.

Functions
template<typename E >
E::SizeType	CDPL::Math::luDecompose (MatrixExpression< E > &e)
	Computes an in-place LU decomposition of the matrix e without partial pivoting. More...
template<typename E , typename PV , typename T >
E::SizeType	CDPL::Math::luDecompose (MatrixExpression< E > &e, PV &pv, T &num_row_swaps)
	Computes an in-place LU decomposition of the matrix e with partial (row) pivoting. More...
template<typename E , typename PV >
void	CDPL::Math::swapRows (VectorExpression< E > &e, const PV &pv)
	Applies the permutation vector pv to the vector expression e by swapping element i with element pv[i]. More...
template<typename E , typename PV >
void	CDPL::Math::swapRows (MatrixExpression< E > &e, const PV &pv)
	Applies the permutation vector pv to the rows of the matrix expression e by swapping row i with row pv[i]. More...
template<typename E1 , typename E2 >
bool	CDPL::Math::luSubstitute (const MatrixExpression< E1 > &lu, VectorExpression< E2 > &b)
	Solves \( LU\,x = b \) for b in place, given the LU decomposition lu (without pivoting). More...
template<typename E1 , typename E2 , typename PV >
bool	CDPL::Math::luSubstitute (const MatrixExpression< E1 > &lu, const PV &pv, VectorExpression< E2 > &b)
	Solves \( LU\,x = b \) for b in place, given the LU decomposition lu and pivot vector pv. More...
template<typename E1 , typename E2 >
bool	CDPL::Math::luSubstitute (const MatrixExpression< E1 > &lu, MatrixExpression< E2 > &b)
	Solves \( LU\,X = B \) for the matrix b in place, given the LU decomposition lu (without pivoting). More...
template<typename E1 , typename E2 , typename PV >
bool	CDPL::Math::luSubstitute (const MatrixExpression< E1 > &lu, const PV &pv, MatrixExpression< E2 > &b)
	Solves \( LU\,X = B \) for the matrix b in place, given the LU decomposition lu and pivot vector pv. More...

Detailed Description

Implementation of matrix LU-decomposition and associated operations.