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<div class="subTitle">org.apache.commons.math3.analysis.solvers</div>
<h2 title="Class RegulaFalsiSolver" class="title">Class RegulaFalsiSolver</h2>
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<li><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html" title="class in org.apache.commons.math3.analysis.solvers">org.apache.commons.math3.analysis.solvers.BaseAbstractUnivariateSolver</a><<a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a>></li>
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<li><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AbstractUnivariateSolver.html" title="class in org.apache.commons.math3.analysis.solvers">org.apache.commons.math3.analysis.solvers.AbstractUnivariateSolver</a></li>
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<li><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html" title="class in org.apache.commons.math3.analysis.solvers">org.apache.commons.math3.analysis.solvers.BaseSecantSolver</a></li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html" title="interface in org.apache.commons.math3.analysis.solvers">BaseUnivariateSolver</a><<a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a>>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BracketedUnivariateSolver.html" title="interface in org.apache.commons.math3.analysis.solvers">BracketedUnivariateSolver</a><<a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a>>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/UnivariateSolver.html" title="interface in org.apache.commons.math3.analysis.solvers">UnivariateSolver</a></dd>
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<pre>public class <span class="strong">RegulaFalsiSolver</span>
extends <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html" title="class in org.apache.commons.math3.analysis.solvers">BaseSecantSolver</a></pre>
<div class="block">Implements the <em>Regula Falsi</em> or <em>False position</em> method for
root-finding (approximating a zero of a univariate real function). It is a
modified <a href="../../../../../../org/apache/commons/math3/analysis/solvers/SecantSolver.html" title="class in org.apache.commons.math3.analysis.solvers"><code><em>Secant</em></code></a> method.
<p>The <em>Regula Falsi</em> method is included for completeness, for
testing purposes, for educational purposes, for comparison to other
algorithms, etc. It is however <strong>not</strong> intended to be used
for actual problems, as one of the bounds often remains fixed, resulting
in very slow convergence. Instead, one of the well-known modified
<em>Regula Falsi</em> algorithms can be used (<a href="../../../../../../org/apache/commons/math3/analysis/solvers/IllinoisSolver.html" title="class in org.apache.commons.math3.analysis.solvers"><code><em>Illinois</em></code></a> or <a href="../../../../../../org/apache/commons/math3/analysis/solvers/PegasusSolver.html" title="class in org.apache.commons.math3.analysis.solvers"><code><em>Pegasus</em></code></a>). These two
algorithms solve the fundamental issues of the original <em>Regula
Falsi</em> algorithm, and greatly out-performs it for most, if not all,
(practical) functions.
<p>Unlike the <em>Secant</em> method, the <em>Regula Falsi</em> guarantees
convergence, by maintaining a bracketed solution. Note however, that due to
the finite/limited precision of Java's <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Double.html?is-external=true" title="class or interface in java.lang"><code>double</code></a> type, which is
used in this implementation, the algorithm may get stuck in a situation
where it no longer makes any progress. Such cases are detected and result
in a <code>ConvergenceException</code> exception being thrown. In other words,
the algorithm theoretically guarantees convergence, but the implementation
does not.</p>
<p>The <em>Regula Falsi</em> method assumes that the function is continuous,
but not necessarily smooth.</p>
<p>Implementation based on the following article: M. Dowell and P. Jarratt,
<em>A modified regula falsi method for computing the root of an
equation</em>, BIT Numerical Mathematics, volume 11, number 2,
pages 168-174, Springer, 1971.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>3.0</dd></dl>
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<h3>Nested classes/interfaces inherited from class org.apache.commons.math3.analysis.solvers.<a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html" title="class in org.apache.commons.math3.analysis.solvers">BaseSecantSolver</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.Method.html" title="enum in org.apache.commons.math3.analysis.solvers">BaseSecantSolver.Method</a></code></li>
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<h3>Fields inherited from class org.apache.commons.math3.analysis.solvers.<a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html" title="class in org.apache.commons.math3.analysis.solvers">BaseSecantSolver</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html#DEFAULT_ABSOLUTE_ACCURACY">DEFAULT_ABSOLUTE_ACCURACY</a></code></li>
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<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/RegulaFalsiSolver.html#RegulaFalsiSolver()">RegulaFalsiSolver</a></strong>()</code>
<div class="block">Construct a solver with default accuracy (1e-6).</div>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/RegulaFalsiSolver.html#RegulaFalsiSolver(double)">RegulaFalsiSolver</a></strong>(double absoluteAccuracy)</code>
<div class="block">Construct a solver.</div>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/RegulaFalsiSolver.html#RegulaFalsiSolver(double,%20double)">RegulaFalsiSolver</a></strong>(double relativeAccuracy,
double absoluteAccuracy)</code>
<div class="block">Construct a solver.</div>
</td>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/RegulaFalsiSolver.html#RegulaFalsiSolver(double,%20double,%20double)">RegulaFalsiSolver</a></strong>(double relativeAccuracy,
double absoluteAccuracy,
double functionValueAccuracy)</code>
<div class="block">Construct a solver.</div>
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<h3>Methods inherited from class org.apache.commons.math3.analysis.solvers.<a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html" title="class in org.apache.commons.math3.analysis.solvers">BaseSecantSolver</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html#doSolve()">doSolve</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html#solve(int,%20org.apache.commons.math3.analysis.UnivariateFunction,%20double,%20double,%20org.apache.commons.math3.analysis.solvers.AllowedSolution)">solve</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html#solve(int,%20org.apache.commons.math3.analysis.UnivariateFunction,%20double,%20double,%20double)">solve</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseSecantSolver.html#solve(int,%20org.apache.commons.math3.analysis.UnivariateFunction,%20double,%20double,%20double,%20org.apache.commons.math3.analysis.solvers.AllowedSolution)">solve</a></code></li>
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<h3>Methods inherited from class org.apache.commons.math3.analysis.solvers.<a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html" title="class in org.apache.commons.math3.analysis.solvers">BaseAbstractUnivariateSolver</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#computeObjectiveValue(double)">computeObjectiveValue</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getAbsoluteAccuracy()">getAbsoluteAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getFunctionValueAccuracy()">getFunctionValueAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getMax()">getMax</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getMin()">getMin</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getRelativeAccuracy()">getRelativeAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#getStartValue()">getStartValue</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#incrementEvaluationCount()">incrementEvaluationCount</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#isBracketing(double,%20double)">isBracketing</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#isSequence(double,%20double,%20double)">isSequence</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#setup(int,%20FUNC,%20double,%20double,%20double)">setup</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#solve(int,%20FUNC,%20double)">solve</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#solve(int,%20FUNC,%20double,%20double)">solve</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#verifyBracketing(double,%20double)">verifyBracketing</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#verifyInterval(double,%20double)">verifyInterval</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#verifySequence(double,%20double,%20double)">verifySequence</a></code></li>
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<h3>Methods inherited from interface org.apache.commons.math3.analysis.solvers.<a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html" title="interface in org.apache.commons.math3.analysis.solvers">BaseUnivariateSolver</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#getAbsoluteAccuracy()">getAbsoluteAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#getFunctionValueAccuracy()">getFunctionValueAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#getRelativeAccuracy()">getRelativeAccuracy</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#solve(int,%20FUNC,%20double)">solve</a>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#solve(int,%20FUNC,%20double,%20double)">solve</a></code></li>
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<h4>RegulaFalsiSolver</h4>
<pre>public RegulaFalsiSolver()</pre>
<div class="block">Construct a solver with default accuracy (1e-6).</div>
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<a name="RegulaFalsiSolver(double)">
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<pre>public RegulaFalsiSolver(double absoluteAccuracy)</pre>
<div class="block">Construct a solver.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>absoluteAccuracy</code> - Absolute accuracy.</dd></dl>
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<pre>public RegulaFalsiSolver(double relativeAccuracy,
double absoluteAccuracy)</pre>
<div class="block">Construct a solver.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>relativeAccuracy</code> - Relative accuracy.</dd><dd><code>absoluteAccuracy</code> - Absolute accuracy.</dd></dl>
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<h4>RegulaFalsiSolver</h4>
<pre>public RegulaFalsiSolver(double relativeAccuracy,
double absoluteAccuracy,
double functionValueAccuracy)</pre>
<div class="block">Construct a solver.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>relativeAccuracy</code> - Relative accuracy.</dd><dd><code>absoluteAccuracy</code> - Absolute accuracy.</dd><dd><code>functionValueAccuracy</code> - Maximum function value error.</dd></dl>
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