org.apache.commons.math3.linear
T
 the type of the field elementspublic class FieldLUDecomposition<T extends FieldElement<T>> extends Object
The LUPdecomposition of a matrix A consists of three matrices L, U and P that satisfy: PA = LU, L is lower triangular, and U is upper triangular and P is a permutation matrix. All matrices are m×m.
Since field elements
do not provide an ordering
operator, the permutation matrix is computed here only in order to avoid
a zero pivot element, no attempt is done to get the largest pivot
element.
This class is based on the class with similar name from the JAMA library.
getP
method has been added,det
method has been renamed as getDeterminant
,getDoublePivot
method has been removed (but the int based
getPivot
method has been kept),solve
and isNonSingular
methods have been replaced
by a getSolver
method and the equivalent methods
provided by the returned DecompositionSolver
.Constructor and Description 

FieldLUDecomposition(FieldMatrix<T> matrix)
Calculates the LUdecomposition of the given matrix.

Modifier and Type  Method and Description 

T 
getDeterminant()
Return the determinant of the matrix.

FieldMatrix<T> 
getL()
Returns the matrix L of the decomposition.

FieldMatrix<T> 
getP()
Returns the P rows permutation matrix.

int[] 
getPivot()
Returns the pivot permutation vector.

FieldDecompositionSolver<T> 
getSolver()
Get a solver for finding the A × X = B solution in exact linear sense.

FieldMatrix<T> 
getU()
Returns the matrix U of the decomposition.

public FieldLUDecomposition(FieldMatrix<T> matrix)
matrix
 The matrix to decompose.NonSquareMatrixException
 if matrix is not squarepublic FieldMatrix<T> getL()
L is a lowertriangular matrix
public FieldMatrix<T> getU()
U is an uppertriangular matrix
public FieldMatrix<T> getP()
P is a sparse matrix with exactly one element set to 1.0 in each row and each column, all other elements being set to 0.0.
The positions of the 1 elements are given by the pivot permutation vector
.
getPivot()
public int[] getPivot()
getP()
public T getDeterminant()
public FieldDecompositionSolver<T> getSolver()
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