dev.nm.algebra.linear.matrix.doubles.factorization.gaussianelimination

Class GaussianElimination4SquareMatrix

java.lang.Object

dev.nm.algebra.linear.matrix.doubles.factorization.gaussianelimination.GaussianElimination4SquareMatrix

All Implemented Interfaces:

LUDecomposition

public class GaussianElimination4SquareMatrix
extends Object
implements LUDecomposition

This is a wrapper for GaussianElimination but applies only to square matrices.

Constructor Summary

Constructors

Constructor and Description
GaussianElimination4SquareMatrix(Matrix A) Run the Gaussian elimination algorithm on a square matrix.
GaussianElimination4SquareMatrix(Matrix A, double epsilon) Run the Gaussian elimination algorithm on a square matrix.

Method Summary

Modifier and Type	Method and Description
LowerTriangularMatrix	L() Get the lower triangular matrix L as in the LU decomposition.
PermutationMatrix	P() Get the permutation matrix P as in P * A = L * U.
UpperTriangularMatrix	U() Get the upper triangular matrix U as in the LU decomposition.

Methods inherited from class java.lang.Object

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

Constructor Detail

GaussianElimination4SquareMatrix

public GaussianElimination4SquareMatrix(Matrix A,
                                        double epsilon)

Run the Gaussian elimination algorithm on a square matrix.

Parameters:

A - a square matrix

epsilon - a precision parameter: when a number |x| ≤ ε, it is considered 0

Throws:

IllegalArgumentException - if A is not square

GaussianElimination4SquareMatrix

public GaussianElimination4SquareMatrix(Matrix A)

Run the Gaussian elimination algorithm on a square matrix.

Parameters:

A - a square matrix

Throws:

IllegalArgumentException - if A is not square

Method Detail

L

public LowerTriangularMatrix L()

Description copied from interface: LUDecomposition

Get the lower triangular matrix L as in the LU decomposition.

Specified by:

L in interface LUDecomposition

Returns:

L

U

public UpperTriangularMatrix U()

Description copied from interface: LUDecomposition

Get the upper triangular matrix U as in the LU decomposition.

Specified by:

U in interface LUDecomposition

Returns:

U

P

public PermutationMatrix P()

Description copied from interface: LUDecomposition

Get the permutation matrix P as in P * A = L * U.

Specified by:

P in interface LUDecomposition

Returns:

P