org.matheclipse.commons.math.linear

Class FieldReducedRowEchelonForm<T extends FieldElement<T>>

java.lang.Object

org.matheclipse.commons.math.linear.FieldReducedRowEchelonForm<T>

public class FieldReducedRowEchelonForm<T extends FieldElement<T>>
extends java.lang.Object

Matrix class that wraps a FieldMatrix<T> matrix, which is transformed to reduced row echelon format. See: Wikipedia - Row echelon form. The code was adapted from: Rosetta Code - Reduced row echelon form

Constructor Summary

Constructors

Constructor and Description
FieldReducedRowEchelonForm(FieldMatrix<T> matrix) Constructor which creates row reduced echelon matrix from the given FieldMatrix<T> matrix.

Method Summary

Modifier and Type	Method and Description
int	getMatrixRank() Get the rank of the row reduced matrix.
FieldMatrix<T>	getNullSpace(T minusOneFactor) Get the nullspace of the row reduced matrix.
FieldMatrix<T>	getRowReducedMatrix() Get the row reduced echelon form of the matrix.

Methods inherited from class java.lang.Object

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

Constructor Detail

FieldReducedRowEchelonForm

public FieldReducedRowEchelonForm(FieldMatrix<T> matrix)

Constructor which creates row reduced echelon matrix from the given FieldMatrix<T> matrix.

Parameters:

matrix - matrix which will be transformed to a row reduced echelon matrix.

See Also:

rowReduce()

Method Detail

getRowReducedMatrix

public FieldMatrix<T> getRowReducedMatrix()

Get the row reduced echelon form of the matrix. See: Wikipedia - Row echelon form.

Returns:

getNullSpace

public FieldMatrix<T> getNullSpace(T minusOneFactor)

Get the nullspace of the row reduced matrix. See: Wikipedia - Kernel (linear algebra). Wikibooks - Null Spaces.

Parameters:

minusOneFactor - factor -1 for multiplying all elements of the free part of the reduced row echelon form matrix

Returns:

getMatrixRank

public int getMatrixRank()

Get the rank of the row reduced matrix. See: Wikipedia - Rank (linear algebra).

Returns:

the rank of the matrix.