edu.jas.commons.math

Class GaussElimination<C extends edu.jas.structure.RingElem<C>>

java.lang.Object

edu.jas.commons.math.GaussElimination<C>

Type Parameters:

C - ring element type

public class GaussElimination<C extends edu.jas.structure.RingElem<C>>
extends java.lang.Object

Algorithms related to Gaussian elimination. Conversion to commons-math classes and delegation to commons-math algorithms.

Author:

Heinz Kredel

Constructor Summary

Constructors

Constructor and Description
GaussElimination()

Method Summary

Modifier and Type	Method and Description
C	determinant(edu.jas.vector.GenMatrix<C> a) Determinant of a matrix.
edu.jas.vector.GenMatrix<C>	inverse(edu.jas.vector.GenMatrix<C> a) Inverse of a matrix.
boolean	isNullSpace(edu.jas.vector.GenMatrix<C> a, edu.jas.vector.GenMatrix<C> n) Test if n is a null space for the linear system: a * n = 0.
edu.jas.vector.GenVector<C>	solve(edu.jas.vector.GenMatrix<C> a, edu.jas.vector.GenVector<C> b) Solve a linear system: a x = b.
C	trace(edu.jas.vector.GenMatrix<C> a) Trace of a matrix.

Methods inherited from class java.lang.Object

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

Constructor Detail

GaussElimination

public GaussElimination()

Method Detail

determinant

public C determinant(edu.jas.vector.GenMatrix<C> a)

Determinant of a matrix.

Parameters:

a - matrix

Returns:

determinant of a

inverse

public edu.jas.vector.GenMatrix<C> inverse(edu.jas.vector.GenMatrix<C> a)

Inverse of a matrix.

Parameters:

a - matrix

Returns:

inverse matrix of a

isNullSpace

public boolean isNullSpace(edu.jas.vector.GenMatrix<C> a,
                           edu.jas.vector.GenMatrix<C> n)

Test if n is a null space for the linear system: a * n = 0.

Parameters:

a - matrix

n - matrix

Returns:

true, if n is a nullspace of a, else false

solve

public edu.jas.vector.GenVector<C> solve(edu.jas.vector.GenMatrix<C> a,
                                         edu.jas.vector.GenVector<C> b)

Solve a linear system: a x = b.

Parameters:

a - matrix

b - vector of right hand side

Returns:

a solution vector x

trace

public C trace(edu.jas.vector.GenMatrix<C> a)

Trace of a matrix.

Parameters:

a - matrix

Returns:

trace of a