<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <title>linbox: RationalSolver< Ring, Field, RandomPrime, BlockWiedemannTraits > Class Template Reference</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <link href="doxygen.css" rel="stylesheet" type="text/css"/> </head> <body> <!-- Generated by Doxygen 1.7.4 --> <script type="text/javascript"> function hasClass(ele,cls) { return ele.className.match(new RegExp('(\\s|^)'+cls+'(\\s|$)')); } function addClass(ele,cls) { if (!this.hasClass(ele,cls)) ele.className += " "+cls; } function removeClass(ele,cls) { if (hasClass(ele,cls)) { var reg = new RegExp('(\\s|^)'+cls+'(\\s|$)'); ele.className=ele.className.replace(reg,' '); } } function toggleVisibility(linkObj) { var base = linkObj.getAttribute('id'); var summary = document.getElementById(base + '-summary'); 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Wiedemann <em>Solving sparse linear equations over finite fields</em>. IEEE Transaction on Information Theory, 32(1), pages 54-62, 1986.</p> <ul> <li>Don Coppersmith <em>Solving homogeneous linear equations over GF(2) via block Wiedemann algorithm.</em> Mathematic of computation, 62(205), pages 335-350, 1994.</li> </ul> <ul> <li>Erich Kaltofen and B. David Saunders <em>On Wiedemann's method of solving sparse linear systems</em>. In Applied Algebra, Algebraic Algorithms and Error Correcting Codes, AAECC'91, volume 539 of Lecture Notes in Computer Sciences, pages 29-38, 1991. </li> </ul> </div><hr/><h2>Constructor & Destructor Documentation</h2> <a class="anchor" id="ae5719749899c497d69cc90b21bedbf4f"></a><!-- doxytag: member="LinBox::RationalSolver< Ring, Field, RandomPrime, BlockWiedemannTraits >::RationalSolver" ref="ae5719749899c497d69cc90b21bedbf4f" args="(const Ring &r=Ring(), const RandomPrime &rp=RandomPrime(DEFAULT_PRIMESIZE), const BlockWiedemannTraits &traits=BlockWiedemannTraits())" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="class_lin_box_1_1_rational_solver.html">RationalSolver</a> </td> <td>(</td> <td class="paramtype">const Ring & </td> <td class="paramname"><em>r</em> = <code>Ring()</code>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const RandomPrime & </td> <td class="paramname"><em>rp</em> = <code>RandomPrime(DEFAULT_PRIMESIZE)</code>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const BlockWiedemannTraits & </td> <td class="paramname"><em>traits</em> = <code>BlockWiedemannTraits()</code> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td><code> [inline]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Constructor. </p> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">r</td><td>a Ring, set by default </td></tr> <tr><td class="paramname">rp</td><td>a RandomPrime generator, set by default </td></tr> <tr><td class="paramname">traits</td><td></td></tr> </table> </dd> </dl> </div> </div> <a class="anchor" id="a6cd3bb56febda2c780591baf3c2482af"></a><!-- doxytag: member="LinBox::RationalSolver< Ring, Field, RandomPrime, BlockWiedemannTraits >::RationalSolver" ref="a6cd3bb56febda2c780591baf3c2482af" args="(const Prime &p, const Ring &r=Ring(), const RandomPrime &rp=RandomPrime(DEFAULT_PRIMESIZE), const BlockWiedemannTraits &traits=BlockWiedemannTraits())" --> <div class="memitem"> <div class="memproto"> <table class="memname"> <tr> <td class="memname"><a class="el" href="class_lin_box_1_1_rational_solver.html">RationalSolver</a> </td> <td>(</td> <td class="paramtype">const Prime & </td> <td class="paramname"><em>p</em>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const Ring & </td> <td class="paramname"><em>r</em> = <code>Ring()</code>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const RandomPrime & </td> <td class="paramname"><em>rp</em> = <code>RandomPrime(DEFAULT_PRIMESIZE)</code>, </td> </tr> <tr> <td class="paramkey"></td> <td></td> <td class="paramtype">const BlockWiedemannTraits & </td> <td class="paramname"><em>traits</em> = <code>BlockWiedemannTraits()</code> </td> </tr> <tr> <td></td> <td>)</td> <td></td><td><code> [inline]</code></td> </tr> </table> </div> <div class="memdoc"> <p>Constructor with a prime. </p> <dl><dt><b>Parameters:</b></dt><dd> <table class="params"> <tr><td class="paramname">p</td><td>a Prime </td></tr> <tr><td class="paramname">r</td><td>a Ring, set by default </td></tr> <tr><td class="paramname">rp</td><td>a RandomPrime generator, set by default </td></tr> <tr><td class="paramname">traits</td><td></td></tr> </table> </dd> </dl> </div> </div> <hr/>The documentation for this class was generated from the following files:<ul> <li><a class="el" href="rational-solver_8h.html">rational-solver.h</a></li> <li>rational-solver.inl</li> </ul> </div> <hr class="footer"/><address class="footer"><small>Generated on Tue Aug 30 2011 for linbox by  <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.4 </small></address> </body> </html>