crn::LinearSystem Namespace Reference

Solvers for systems of linear equations. More...

Functions
MatrixDouble	Cramer (const SquareMatrixDouble &Coefficients, const MatrixDouble &ConstantTerms)
	Resolution of linear equation system by the determinant method. More...
MatrixDouble	GaussJordan (const SquareMatrixDouble &Coefficients, const MatrixDouble &ConstantTerms)
	Resolution of linear equation system by the pivot method. More...

Detailed Description

Solvers for systems of linear equations.

Solvers for systems of linear equations

Author

Jean DUONG

Date

March 2013

Version

0.2

Todo:

Cholesky, LU decomposition, etc.

Function Documentation

MatrixDouble crn::LinearSystem::Cramer	(	const SquareMatrixDouble &	Coefficients,
		const MatrixDouble &	ConstantTerms
	)

Resolution of linear equation system by the determinant method.

Solve linear system using Cramer procedure

Exceptions

ExceptionDimension	incompatible matrix dimensions
ExceptionRuntime	Equation has either no solution or an infinity of solutions

Parameters

[in]	Coefficients	matrix of equations' coefficients
[in]	ConstantTerms	column matrix of constant term

Returns

solutions packed in a column matrix (SMatrixDouble)

Definition at line 42 of file CRNEquationSolver.cpp.

MatrixDouble crn::LinearSystem::GaussJordan	(	const SquareMatrixDouble &	Coefficients,
		const MatrixDouble &	ConstantTerms
	)

Resolution of linear equation system by the pivot method.

Solve linear system using Gauss-Jordan procedure

Exceptions

ExceptionDimension	incompatible matrix dimensions
ExceptionRuntime	Equation has either no solution or an infinity of solutions

Parameters

[in]	Coefficients	matrix of equations' coefficients
[in]	ConstantTerms	column matrix of constant terms

Returns

solutions packed in a column matrix (SMatrixDouble)

Definition at line 92 of file CRNEquationSolver.cpp.