001 /*
002 * Licensed to the Apache Software Foundation (ASF) under one or more
003 * contributor license agreements. See the NOTICE file distributed with
004 * this work for additional information regarding copyright ownership.
005 * The ASF licenses this file to You under the Apache License, Version 2.0
006 * (the "License"); you may not use this file except in compliance with
007 * the License. You may obtain a copy of the License at
008 *
009 * http://www.apache.org/licenses/LICENSE-2.0
010 *
011 * Unless required by applicable law or agreed to in writing, software
012 * distributed under the License is distributed on an "AS IS" BASIS,
013 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
014 * See the License for the specific language governing permissions and
015 * limitations under the License.
016 */
017
018 package org.apache.commons.math3.analysis.solvers;
019
020
021 /**
022 * Implements the <em>Illinois</em> method for root-finding (approximating
023 * a zero of a univariate real function). It is a modified
024 * {@link RegulaFalsiSolver <em>Regula Falsi</em>} method.
025 *
026 * <p>Like the <em>Regula Falsi</em> method, convergence is guaranteed by
027 * maintaining a bracketed solution. The <em>Illinois</em> method however,
028 * should converge much faster than the original <em>Regula Falsi</em>
029 * method. Furthermore, this implementation of the <em>Illinois</em> method
030 * should not suffer from the same implementation issues as the <em>Regula
031 * Falsi</em> method, which may fail to convergence in certain cases.</p>
032 *
033 * <p>The <em>Illinois</em> method assumes that the function is continuous,
034 * but not necessarily smooth.</p>
035 *
036 * <p>Implementation based on the following article: M. Dowell and P. Jarratt,
037 * <em>A modified regula falsi method for computing the root of an
038 * equation</em>, BIT Numerical Mathematics, volume 11, number 2,
039 * pages 168-174, Springer, 1971.</p>
040 *
041 * @since 3.0
042 * @version $Id: IllinoisSolver.java 1364387 2012-07-22 18:14:11Z tn $
043 */
044 public class IllinoisSolver extends BaseSecantSolver {
045
046 /** Construct a solver with default accuracy (1e-6). */
047 public IllinoisSolver() {
048 super(DEFAULT_ABSOLUTE_ACCURACY, Method.ILLINOIS);
049 }
050
051 /**
052 * Construct a solver.
053 *
054 * @param absoluteAccuracy Absolute accuracy.
055 */
056 public IllinoisSolver(final double absoluteAccuracy) {
057 super(absoluteAccuracy, Method.ILLINOIS);
058 }
059
060 /**
061 * Construct a solver.
062 *
063 * @param relativeAccuracy Relative accuracy.
064 * @param absoluteAccuracy Absolute accuracy.
065 */
066 public IllinoisSolver(final double relativeAccuracy,
067 final double absoluteAccuracy) {
068 super(relativeAccuracy, absoluteAccuracy, Method.ILLINOIS);
069 }
070
071 /**
072 * Construct a solver.
073 *
074 * @param relativeAccuracy Relative accuracy.
075 * @param absoluteAccuracy Absolute accuracy.
076 * @param functionValueAccuracy Maximum function value error.
077 */
078 public IllinoisSolver(final double relativeAccuracy,
079 final double absoluteAccuracy,
080 final double functionValueAccuracy) {
081 super(relativeAccuracy, absoluteAccuracy, functionValueAccuracy, Method.PEGASUS);
082 }
083 }