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Commons Math example source code file (FieldLUDecomposition.java)

This example Commons Math source code file (FieldLUDecomposition.java) is included in the DevDaily.com "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 FieldLUDecomposition.java 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
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * 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="http://math.nist.gov/javanumerics/jama/">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="http://mathworld.wolfram.com/LUDecomposition.html">MathWorld * @see <a href="http://en.wikipedia.org/wiki/LU_decomposition">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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