com.numericalmethod.suanshu.matrix.doubles.matrixtype.sparse.solver.iterative.stationary
Class SORSweep

java.lang.Object
  com.numericalmethod.suanshu.matrix.doubles.matrixtype.sparse.solver.iterative.stationary.SORSweep

public class SORSweep
extends java.lang.Object

This is a building block for SOR and SSOR to perform the forward or backward sweep. That is, solving the n equations in Ax = b sequentially (forward or backward), while using the updated components of x as soon as they are available.

Constructor Summary

SORSweep(Matrix A, Vector b, double omega)
Construct an instance to perform forward or backward sweep for a linear system Ax = b.

Method Summary

Vector	backward(Vector x) Perform a backward sweep.
Vector	forward(Vector x) Perform a forward sweep.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

SORSweep

public SORSweep(Matrix A,
                Vector b,
                double omega)

Construct an instance to perform forward or backward sweep for a linear system Ax = b.

Parameters:

A - the coefficient matrix

b - a vector

omega - the extrapolation factor

Method Detail

forward

public Vector forward(Vector x)

Perform a forward sweep.

Parameters:

x - the original iterate

Returns:

the next iterate

backward

public Vector backward(Vector x)

Perform a backward sweep.

Parameters:

x - the original iterate

Returns:

the next iterate