gaussSeidel.h File Reference

#include "../../Matrix.h"
#include "../../matrix_utils.h"
#include "LU.h"
#include "backwardSub.h"
#include "forwardSub.h"
#include <vector>

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Functions
Matrix< double >	gaussSeidel (const Matrix< double > &A, const Matrix< double > &b)

Detailed Description

Gaussian elimination to solve systems of linear equations. Uses column major pivot elements to reduce number of operations.

Requires:

#include <math/numerics/lin_alg/gausseidel.h>

Function Documentation

gaussSeidel()

Matrix< double > gaussSeidel	(	const Matrix< double > &	A,
		const Matrix< double > &	b
	)

Gauss-Seidel algorithm to evaluate system of linear equations.

$$Ax = b$$

Parameters

A	Coefficient matrix
b	resulting vector

Returns

$$x$$

Examples

numerics/lin_alg/TestGaussSeidel.cpp.