kao.math.matvec.solver.CG Class Reference

Conjugate Gradient method. More...

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

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List of all members.

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

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Detailed Description

Conjugate Gradient method.

The Conjugate Gradient 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.CG.CG	(	Matrix	A,
		Vector	b
	)

Create a new instance of the Conjugate Gradient solver using the default convergence tolerance.

Parameters:

	A	Matrix A
	b	Source Vector

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

Create a new instance of the Conjugate Gradient solver using a supplied convergence tolerance.

Parameters:

	A	Matrix A
	b	Source Vector
	tol	Convergence tolerance

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

Create a new instance of the Conjugate Gradient 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.CG.CG	(	Matrix	A,
		Vector	b,
		Vector	xi,
		double	tol
	)

Create a new instance of the Conjugate Gradient 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.CG.solve

(

)

Solve the system of linear equations.

Returns:

Solution Vector x