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Commons Math example source code file (QRDecomposition.java)

This example Commons Math source code file (QRDecomposition.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

decompositionsolver, decompositionsolver, qrdecomposition, qrdecomposition, realmatrix, realmatrix

The Commons Math QRDecomposition.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;


/**
 * An interface to classes that implement an algorithm to calculate the
 * QR-decomposition of a real matrix.
 * <p>This interface is based on the class with similar name from the
 * <a href="http://math.nist.gov/javanumerics/jama/">JAMA library, with the
 * following changes:</p>
 * <ul>
 *   <li>a {@link #getQT() getQT} method has been added,
 *   <li>the solve and isFullRank methods have been replaced
 *   by a {@link #getSolver() getSolver} method and the equivalent methods provided by
 *   the returned {@link DecompositionSolver}.</li>
 * </ul>
 *
 * @see <a href="http://mathworld.wolfram.com/QRDecomposition.html">MathWorld
 * @see <a href="http://en.wikipedia.org/wiki/QR_decomposition">Wikipedia
 * @version $Revision: 826627 $ $Date: 2009-10-19 06:27:47 -0400 (Mon, 19 Oct 2009) $
 * @since 1.2
 */
public interface QRDecomposition {

    /**
     * Returns the matrix R of the decomposition.
     * <p>R is an upper-triangular matrix

* @return the R matrix */ RealMatrix getR(); /** * Returns the matrix Q of the decomposition. * <p>Q is an orthogonal matrix

* @return the Q matrix */ RealMatrix getQ(); /** * Returns the transpose of the matrix Q of the decomposition. * <p>Q is an orthogonal matrix

* @return the Q matrix */ RealMatrix getQT(); /** * Returns the Householder reflector vectors. * <p>H is a lower trapezoidal matrix whose columns represent * each successive Householder reflector vector. This matrix is used * to compute Q.</p> * @return a matrix containing the Householder reflector vectors */ RealMatrix getH(); /** * Get a solver for finding the A × X = B solution in least square sense. * @return a solver */ DecompositionSolver getSolver(); }

Other Commons Math examples (source code examples)

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