com.numericalmethod.suanshu.matrix.doubles.factorization.gaussianelimination
Class GaussianElimination4SquareMatrix

java.lang.Object
  com.numericalmethod.suanshu.matrix.doubles.factorization.gaussianelimination.GaussianElimination4SquareMatrix

All Implemented Interfaces:

LUDecomposition

public class GaussianElimination4SquareMatrix
extends java.lang.Object
implements LUDecomposition

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

Constructor Summary

GaussianElimination4SquareMatrix(Matrix A)
Construct an instance of GaussianElimination4SquareMatrix for a square matrix.

GaussianElimination4SquareMatrix(Matrix A, double epsilon)
Construct an instance of GaussianElimination4SquareMatrix for a square matrix.

Method Summary

LowerTriangularMatrix	L() Get a copy of the lower triangular matrix L as in P %*% A == L %*% U
PermutationMatrix	P() Get a copy of the permutation matrix P as in P %*% A == L %*% U
UpperTriangularMatrix	U() Get a copy of the upper triangular matrix U as in P %*% A == L %*% U

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)

Construct an instance of GaussianElimination4SquareMatrix for a square matrix.

Parameters:

A - a square matrix

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

Throws:

java.lang.IllegalArgumentException - if A is not square

GaussianElimination4SquareMatrix

public GaussianElimination4SquareMatrix(Matrix A)

Construct an instance of GaussianElimination4SquareMatrix for a square matrix.

Parameters:

A - a square matrix

Throws:

java.lang.IllegalArgumentException - if A is not square

Method Detail

L

public LowerTriangularMatrix L()

Description copied from interface: LUDecomposition

Get a copy of the lower triangular matrix L as in

P %*% A == L %*% U

Specified by:

L in interface LUDecomposition

Returns:

a copy of L

U

public UpperTriangularMatrix U()

Description copied from interface: LUDecomposition

Get a copy of the upper triangular matrix U as in

P %*% A == L %*% U

Specified by:

U in interface LUDecomposition

Returns:

a copy of U

P

public PermutationMatrix P()

Description copied from interface: LUDecomposition

Get a copy of the permutation matrix P as in

P %*% A == L %*% U

Specified by:

P in interface LUDecomposition

Returns:

a copy of P