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Commons Math example source code file (

This example Commons Math source code file ( is included in the "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Java - Commons Math tags/keywords

fielddecompositionsolver, fielddecompositionsolver, fieldelement, fieldelement, fieldludecomposition, fieldludecomposition, fieldmatrix, fieldmatrix, t

The Commons Math source code

 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * See the License for the specific language governing permissions and
 * limitations under the License.

package org.apache.commons.math.linear;

import org.apache.commons.math.FieldElement;

 * An interface to classes that implement an algorithm to calculate the
 * LU-decomposition of a real matrix.
 * <p>The LU-decomposition of matrix A is a set of three matrices: P, L and U
 * such that P×A = L×U. P is a rows permutation matrix that is used
 * to rearrange the rows of A before so that it can be decomposed. L is a lower
 * triangular matrix with unit diagonal terms and U is an upper triangular matrix.</p>
 * <p>This interface is based on the class with similar name from the
 * <a href="">JAMA library.

* <ul> * <li>a {@link #getP() getP} method has been added, * <li>the det method has been renamed as {@link #getDeterminant() * getDeterminant},</li> * <li>the getDoublePivot method has been removed (but the int based * {@link #getPivot() getPivot} method has been kept),</li> * <li>the solve and isNonSingular methods have been replaced * by a {@link #getSolver() getSolver} method and the equivalent methods provided by * the returned {@link DecompositionSolver}.</li> * </ul> * * @param <T> the type of the field elements * @see <a href="">MathWorld * @see <a href="">Wikipedia * @version $Revision: 826627 $ $Date: 2009-10-19 06:27:47 -0400 (Mon, 19 Oct 2009) $ * @since 2.0 */ public interface FieldLUDecomposition<T extends FieldElement { /** * Returns the matrix L of the decomposition. * <p>L is an lower-triangular matrix

* @return the L matrix (or null if decomposed matrix is singular) */ FieldMatrix<T> getL(); /** * Returns the matrix U of the decomposition. * <p>U is an upper-triangular matrix

* @return the U matrix (or null if decomposed matrix is singular) */ FieldMatrix<T> getU(); /** * Returns the P rows permutation matrix. * <p>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.</p> * <p>The positions of the 1 elements are given by the {@link #getPivot() * pivot permutation vector}.</p> * @return the P rows permutation matrix (or null if decomposed matrix is singular) * @see #getPivot() */ FieldMatrix<T> getP(); /** * Returns the pivot permutation vector. * @return the pivot permutation vector * @see #getP() */ int[] getPivot(); /** * Return the determinant of the matrix * @return determinant of the matrix */ T getDeterminant(); /** * Get a solver for finding the A × X = B solution in exact linear sense. * @return a solver */ FieldDecompositionSolver<T> getSolver(); }

Other Commons Math examples (source code examples)

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