<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>eigenvectors(..., Hermitian => ...) -- Hermitian=>true means assume the matrix is symmetric or Hermitian</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_eint.html">next</a> | <a href="_eigenvectors.html">previous</a> | <a href="_eint.html">forward</a> | <a href="_eigenvectors.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>eigenvectors(..., Hermitian => ...) -- Hermitian=>true means assume the matrix is symmetric or Hermitian</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>eigenvectors(M, Hermitian=>true)</tt></div> </dd></dl> </div> </li> <li><div class="single">Consequences:<ul><li>The resulting matrix of eigenvalues is defined over RR, not CC, and, if the original matrix is defined over RR, the matrix of eigenvalues is too.</li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"/> </div> </div> <h2>Further information</h2> <ul><li><span>Default value: <a href="_false.html" title="">false</a></span></li> <li><span>Function: <span><a href="_eigenvectors.html" title="find eigenvectors of a matrix over RR or CC">eigenvectors</a> -- find eigenvectors of a matrix over RR or CC</span></span></li> <li><span>Option name: <span><a href="___Hermitian.html" title="name for an optional argument">Hermitian</a> -- name for an optional argument</span></span></li> </ul> <div class="single"><h2>Caveat</h2> <div>The internal routine uses a different algorithm, only considering the upper triangular elements. So if the matrix is not symmetric or Hermitian, the routine will give incorrect results.</div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_eigenvectors.html" title="find eigenvectors of a matrix over RR or CC">eigenvectors</a> -- find eigenvectors of a matrix over RR or CC</span></li> </ul> </div> </div> </body> </html>