gauss.h File Reference

#include <iostream>
#include <array>
#include <complex>
#include "../logging.h"

Include dependency graph for gauss.h:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Namespaces
namespace	chemmisol

Functions
template<typename M , typename X >
X	chemmisol::gauss::solve (const M &m, const X &y)
template<>
double	chemmisol::gauss::solve< double, double > (const double &f, const double &y)

Detailed Description

Implementations of the Gaussian elimination algorithm.

Function Documentation

solve()

template<typename M , typename X >

X chemmisol::gauss::solve	(	const M &	m,
		const X &	y
	)

Solves m*x=y using the Gaussian elimination algorithm.

Parameters

m	Matrix of size n*n.
y	Matrix of size n.

Returns

Vector x such that m*x=y.

Template Parameters

M	Matrix type.
X	Vector type.

solve< double, double >()

template<>

double chemmisol::gauss::solve< double, double >	(	const double &	f,
		const double &	y
	)

Specialisation of the Gaussian elimination for scalar value.

The Gaussiant elimination is useless in this case, but this specialisation is necessary for the implementation of the Newton solver for scalar values.

Parameters

f	Coefficient.
y	Value.

Returns

Value x such that f*x=y.