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diff --git a/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/analysis/solvers/MullerSolver2.html b/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/analysis/solvers/MullerSolver2.html new file mode 100644 index 0000000..92b3573 --- /dev/null +++ b/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/analysis/solvers/MullerSolver2.html @@ -0,0 +1,364 @@ +<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<!-- NewPage --> +<html lang="en"> +<head> +<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> +<title>MullerSolver2 (Apache Commons Math 3.6.1 API)</title> +<link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" title="Style"> +</head> +<body> +<script type="text/javascript"><!-- + if (location.href.indexOf('is-external=true') == -1) { + parent.document.title="MullerSolver2 (Apache Commons Math 3.6.1 API)"; + } +//--> +</script> +<noscript> +<div>JavaScript is disabled on your browser.</div> +</noscript> +<!-- ========= START OF TOP NAVBAR ======= --> +<div class="topNav"><a name="navbar_top"> +<!-- --> +</a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow"> +<!-- --> +</a> +<ul class="navList" title="Navigation"> +<li><a href="../../../../../../overview-summary.html">Overview</a></li> +<li><a href="package-summary.html">Package</a></li> +<li class="navBarCell1Rev">Class</li> +<li><a href="class-use/MullerSolver2.html">Use</a></li> +<li><a href="package-tree.html">Tree</a></li> +<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> +<li><a href="../../../../../../index-all.html">Index</a></li> +<li><a href="../../../../../../help-doc.html">Help</a></li> +</ul> +<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> +</div> +<div class="subNav"> +<ul class="navList"> +<li><a href="../../../../../../org/apache/commons/math3/analysis/solvers/MullerSolver.html" title="class in org.apache.commons.math3.analysis.solvers"><span class="strong">Prev Class</span></a></li> +<li><a href="../../../../../../org/apache/commons/math3/analysis/solvers/NewtonRaphsonSolver.html" title="class in org.apache.commons.math3.analysis.solvers"><span class="strong">Next Class</span></a></li> +</ul> +<ul class="navList"> +<li><a href="../../../../../../index.html?org/apache/commons/math3/analysis/solvers/MullerSolver2.html" target="_top">Frames</a></li> +<li><a href="MullerSolver2.html" target="_top">No Frames</a></li> +</ul> +<ul class="navList" id="allclasses_navbar_top"> +<li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> +</ul> +<div> +<script type="text/javascript"><!-- + allClassesLink = document.getElementById("allclasses_navbar_top"); + if(window==top) { + allClassesLink.style.display = "block"; + } + else { + allClassesLink.style.display = "none"; + } + //--> +</script> +</div> +<div> +<ul class="subNavList"> +<li>Summary: </li> +<li>Nested | </li> +<li>Field | </li> +<li><a href="#constructor_summary">Constr</a> | </li> +<li><a href="#method_summary">Method</a></li> +</ul> +<ul class="subNavList"> +<li>Detail: </li> +<li>Field | </li> +<li><a href="#constructor_detail">Constr</a> | </li> +<li><a href="#method_detail">Method</a></li> +</ul> +</div> +<a name="skip-navbar_top"> +<!-- --> +</a></div> +<!-- ========= END OF TOP NAVBAR ========= --> +<!-- ======== START OF CLASS DATA ======== --> +<div class="header"> +<div class="subTitle">org.apache.commons.math3.analysis.solvers</div> +<h2 title="Class MullerSolver2" class="title">Class MullerSolver2</h2> +</div> +<div class="contentContainer"> +<ul class="inheritance"> +<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li> +<li> +<ul class="inheritance"> +<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> +<li> +<ul class="inheritance"> +<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> +<li> +<ul class="inheritance"> +<li>org.apache.commons.math3.analysis.solvers.MullerSolver2</li> +</ul> +</li> +</ul> +</li> +</ul> +</li> +</ul> +<div class="description"> +<ul class="blockList"> +<li class="blockList"> +<dl> +<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/UnivariateSolver.html" title="interface in org.apache.commons.math3.analysis.solvers">UnivariateSolver</a></dd> +</dl> +<hr> +<br> +<pre>public class <span class="strong">MullerSolver2</span> +extends <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AbstractUnivariateSolver.html" title="class in org.apache.commons.math3.analysis.solvers">AbstractUnivariateSolver</a></pre> +<div class="block">This class implements the <a href="http://mathworld.wolfram.com/MullersMethod.html"> + Muller's Method</a> for root finding of real univariate functions. For + reference, see <b>Elementary Numerical Analysis</b>, ISBN 0070124477, + chapter 3. + <p> + Muller's method applies to both real and complex functions, but here we + restrict ourselves to real functions. + This class differs from <a href="../../../../../../org/apache/commons/math3/analysis/solvers/MullerSolver.html" title="class in org.apache.commons.math3.analysis.solvers"><code>MullerSolver</code></a> in the way it avoids complex + operations.</p><p> + Except for the initial [min, max], it does not require bracketing + condition, e.g. f(x0), f(x1), f(x2) can have the same sign. If a complex + number arises in the computation, we simply use its modulus as a real + approximation.</p> + <p> + Because the interval may not be bracketing, the bisection alternative is + not applicable here. However in practice our treatment usually works + well, especially near real zeroes where the imaginary part of the complex + approximation is often negligible.</p> + <p> + The formulas here do not use divided differences directly.</p></div> +<dl><dt><span class="strong">Since:</span></dt> + <dd>1.2</dd> +<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/solvers/MullerSolver.html" title="class in org.apache.commons.math3.analysis.solvers"><code>MullerSolver</code></a></dd></dl> +</li> +</ul> +</div> +<div class="summary"> +<ul class="blockList"> +<li class="blockList"> +<!-- ======== CONSTRUCTOR SUMMARY ======== --> +<ul class="blockList"> +<li class="blockList"><a name="constructor_summary"> +<!-- --> +</a> +<h3>Constructor Summary</h3> +<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> +<caption><span>Constructors</span><span class="tabEnd"> </span></caption> +<tr> +<th class="colOne" scope="col">Constructor and Description</th> +</tr> +<tr class="altColor"> +<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/MullerSolver2.html#MullerSolver2()">MullerSolver2</a></strong>()</code> +<div class="block">Construct a solver with default accuracy (1e-6).</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/MullerSolver2.html#MullerSolver2(double)">MullerSolver2</a></strong>(double absoluteAccuracy)</code> +<div class="block">Construct a solver.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/MullerSolver2.html#MullerSolver2(double,%20double)">MullerSolver2</a></strong>(double relativeAccuracy, + double absoluteAccuracy)</code> +<div class="block">Construct a solver.</div> +</td> +</tr> +</table> +</li> +</ul> +<!-- ========== METHOD SUMMARY =========== --> +<ul class="blockList"> +<li class="blockList"><a name="method_summary"> +<!-- --> +</a> +<h3>Method Summary</h3> +<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> +<caption><span>Methods</span><span class="tabEnd"> </span></caption> +<tr> +<th class="colFirst" scope="col">Modifier and Type</th> +<th class="colLast" scope="col">Method and Description</th> +</tr> +<tr class="altColor"> +<td class="colFirst"><code>protected double</code></td> +<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/MullerSolver2.html#doSolve()">doSolve</a></strong>()</code> +<div class="block">Method for implementing actual optimization algorithms in derived + classes.</div> +</td> +</tr> +</table> +<ul class="blockList"> +<li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.analysis.solvers.BaseAbstractUnivariateSolver"> +<!-- --> +</a> +<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#solve(int,%20FUNC,%20double,%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> +</ul> +<ul class="blockList"> +<li class="blockList"><a name="methods_inherited_from_class_java.lang.Object"> +<!-- --> +</a> +<h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> +<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li> +</ul> +<ul class="blockList"> +<li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.analysis.solvers.BaseUnivariateSolver"> +<!-- --> +</a> +<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>, <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseUnivariateSolver.html#solve(int,%20FUNC,%20double,%20double,%20double)">solve</a></code></li> +</ul> +</li> +</ul> +</li> +</ul> +</div> +<div class="details"> +<ul class="blockList"> +<li class="blockList"> +<!-- ========= CONSTRUCTOR DETAIL ======== --> +<ul class="blockList"> +<li class="blockList"><a name="constructor_detail"> +<!-- --> +</a> +<h3>Constructor Detail</h3> +<a name="MullerSolver2()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>MullerSolver2</h4> +<pre>public MullerSolver2()</pre> +<div class="block">Construct a solver with default accuracy (1e-6).</div> +</li> +</ul> +<a name="MullerSolver2(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>MullerSolver2</h4> +<pre>public MullerSolver2(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> +</li> +</ul> +<a name="MullerSolver2(double, double)"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>MullerSolver2</h4> +<pre>public MullerSolver2(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> +</li> +</ul> +</li> +</ul> +<!-- ============ METHOD DETAIL ========== --> +<ul class="blockList"> +<li class="blockList"><a name="method_detail"> +<!-- --> +</a> +<h3>Method Detail</h3> +<a name="doSolve()"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>doSolve</h4> +<pre>protected double doSolve() + throws <a href="../../../../../../org/apache/commons/math3/exception/TooManyEvaluationsException.html" title="class in org.apache.commons.math3.exception">TooManyEvaluationsException</a>, + <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a>, + <a href="../../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></pre> +<div class="block">Method for implementing actual optimization algorithms in derived + classes.</div> +<dl> +<dt><strong>Specified by:</strong></dt> +<dd><code><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html#doSolve()">doSolve</a></code> in class <code><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BaseAbstractUnivariateSolver.html" title="class in 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>></code></dd> +<dt><span class="strong">Returns:</span></dt><dd>the root.</dd> +<dt><span class="strong">Throws:</span></dt> +<dd><code><a href="../../../../../../org/apache/commons/math3/exception/TooManyEvaluationsException.html" title="class in org.apache.commons.math3.exception">TooManyEvaluationsException</a></code> - if the maximal number of evaluations + is exceeded.</dd> +<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoBracketingException.html" title="class in org.apache.commons.math3.exception">NoBracketingException</a></code> - if the initial search interval does not bracket + a root and the solver requires it.</dd> +<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code></dd></dl> +</li> +</ul> +</li> +</ul> +</li> +</ul> +</div> +</div> +<!-- ========= END OF CLASS DATA ========= --> +<!-- ======= START OF BOTTOM NAVBAR ====== --> +<div class="bottomNav"><a name="navbar_bottom"> +<!-- --> +</a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> +<!-- --> +</a> +<ul class="navList" title="Navigation"> +<li><a href="../../../../../../overview-summary.html">Overview</a></li> +<li><a href="package-summary.html">Package</a></li> +<li class="navBarCell1Rev">Class</li> +<li><a href="class-use/MullerSolver2.html">Use</a></li> +<li><a href="package-tree.html">Tree</a></li> +<li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> +<li><a href="../../../../../../index-all.html">Index</a></li> 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