kao.math.matvec.solver.GS Class Reference

Gauss-Siedel Iterative method. More...

Collaboration diagram for kao.math.matvec.solver.GS:

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List of all members.

Public Member Functions
	GS (Matrix A, Vector b)
	GS (Matrix A, Vector b, double tol)
	GS (Matrix A, Vector b, Vector xi)
	GS (Matrix A, Vector b, Vector xi, double tol)
Vector	solve ()

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Detailed Description

Gauss-Siedel Iterative method.

The Gauss-Siedel Iterative method for solving systems of the form:

The default convergence tolerance is 1.0E-6.

Author:

David Kao

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Constructor & Destructor Documentation

kao.math.matvec.solver.GS.GS	(	Matrix	A,
		Vector	b
	)

Create a new instance of the Gauss-Siedel solver using the default convergence tolerance.

Parameters:

	A	Matrix A
	b	Source Vector

kao.math.matvec.solver.GS.GS	(	Matrix	A,
		Vector	b,
		double	tol
	)

Create a new instance of the Gauss-Siedel solver using a supplied convergence tolerance.

Parameters:

	A	Matrix A
	b	Source Vector
	tol	Convergence tolerance

kao.math.matvec.solver.GS.GS	(	Matrix	A,
		Vector	b,
		Vector	xi
	)

Create a new instance of the Gauss-Siedel solver with an initial guess xi, using the default convergence tolerance.

Parameters:

	A	Matrix A
	b	Source Vector
	xi	Initial guess for x

kao.math.matvec.solver.GS.GS	(	Matrix	A,
		Vector	b,
		Vector	xi,
		double	tol
	)

Create a new instance of the Gauss-Siedel solver with an initial guess xi, using a supplied convergence tolerance.

Parameters:

	A	Matrix A
	b	Source Vector
	xi	Initial guess for x
	tol	Convergence tolerance

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Member Function Documentation

Vector kao.math.matvec.solver.GS.solve

(

)

Solve the system of linear equations.

Returns:

Solution Vector x