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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1"><title>The Polynomials Templates Library: polyzero.h File Reference</title><link href="doxygen.css" rel="stylesheet" type="text/css"><link href="tabs.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.4.5 --><div class="tabs"> <ul> <li><a href="index.html"><span>Main Page</span></a></li> <li><a href="modules.html"><span>Modules</span></a></li> <li><a href="annotated.html"><span>Classes</span></a></li> <li id="current"><a href="files.html"><span>Files</span></a></li> </ul></div><div class="tabs"> <ul> <li><a href="files.html"><span>File List</span></a></li> <li><a href="globals.html"><span>File Members</span></a></li> </ul></div><h1>polyzero.h File Reference</h1><hr><a name="_details"></a><h2>Detailed Description</h2>polynomial zero-finding support functions.<p>This file contains helper routines to polynomial roots-solving.<p><dl compact><dt><b>Author:</b></dt><dd>Michael Roy <a href="mailto:tika1966@yahoo.com">tika1966@yahoo.com</a></dd></dl><dl compact><dt><b>Version:</b></dt><dd>1.0</dd></dl><dl compact><dt><b>See also:</b></dt><dd>class <a class="el" href="a00090.html">Polynomial</a><br> <a class="el" href="a00094.html">laguerre.h</a><br> <a class="el" href="a00095.html">muller.h</a> </dd></dl><p>Definition in file <a class="el" href="a00108.html">polyzero.h</a>.<p><code>#include "<a class="el" href="a00107.html">polynomial.h</a>"</code><br><p><a href="a00108.html">Go to the source code of this file.</a><table border="0" cellpadding="0" cellspacing="0"><tr><td></td></tr><tr><td colspan="2"><br><h2>Functions</h2></td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T, class U, class V> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00102.html#g7528de40f73b280a95202bc5b8947424">newtonZero</a> (const <a class="el" href="a00090.html">Polynomial</a>< T > &p, U &z, U &pz, V &mpz, bool adaptive=false)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00102.html#g206394af98d861f1a81bea25ae6d84da">removeNullZeros</a> (<a class="el" href="a00090.html">Polynomial</a>< T > &p)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00099.html#g4c00b88d043d1f70cdcb4d2cec66b55e">cauchyLowerBound</a> (const <a class="el" href="a00090.html">Polynomial</a>< T > &p, const T &upperBound=T(0))</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00099.html#g70251f7099324b613e81181a4f022f0e">cauchyUpperBound</a> (const <a class="el" href="a00090.html">Polynomial</a>< T > &p)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00099.html#ga911d353ac1900e9da22160a11d8b350">zerosGeometricMean</a> (const <a class="el" href="a00090.html">Polynomial</a>< T > &p)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00099.html#gff48f345e1c619a7fcfef4fec02674f8">zerosGeometricMean</a> (const <a class="el" href="a00090.html">Polynomial</a>< std::complex< T > > &p)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00102.html#g3536daa88b2578a96cd84d2680ac9d66">sortZeros</a> (std::vector< std::complex< T > > &zeros)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00102.html#g6e9fe1cec8c7ec334d9e21f31b602bde">solveDegree1</a> (const T &a, const T &b)</td></tr><tr><td class="memTemplParams" nowrap colspan="2">template<class T, class U> </td></tr><tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00102.html#gb88e92200690d2e3f8b0c785c8fa42d3">solveDegree2</a> (const T &a, const T &b, const T &c, U &z1, U &z2)</td></tr></table><hr size="1"><address style="align: right;"><small>Generated on Mon Aug 21 21:57:25 2006 for The Polynomials Templates Library by <a href="http://www.doxygen.org/index.html"><img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.4.5 </small></address></body></html>
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