EVOLUTION-MANAGER
Edit File: Schur-class.html
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><title>R: Class "Schur" of Schur Matrix Factorizations</title> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <link rel="stylesheet" type="text/css" href="R.css" /> </head><body> <table width="100%" summary="page for Schur-class {Matrix}"><tr><td>Schur-class {Matrix}</td><td style="text-align: right;">R Documentation</td></tr></table> <h2>Class "Schur" of Schur Matrix Factorizations</h2> <h3>Description</h3> <p>Class <code>"Schur"</code> is the class of Schur matrix factorizations. These are a generalization of eigen value (or “spectral”) decompositions for general (possibly asymmmetric) square matrices, see the <code><a href="Schur.html">Schur</a>()</code> function. </p> <h3>Objects from the Class</h3> <p>Objects of class <code>"Schur"</code> are typically created by <code><a href="Schur.html">Schur</a>()</code>. </p> <h3>Slots</h3> <p><code>"Schur"</code> has slots </p> <dl> <dt><code>T</code>:</dt><dd><p>Upper Block-triangular <code><a href="Matrix-class.html">Matrix</a></code> object.</p> </dd> <dt><code>Q</code>:</dt><dd><p>Square <em>orthogonal</em> <code>"Matrix"</code>.</p> </dd> <dt><code>EValues</code>:</dt><dd><p>numeric or complex vector of eigenvalues of <code>T</code>.</p> </dd> <dt><code>Dim</code>:</dt><dd><p>the matrix dimension: equal to <code>c(n,n)</code> of class <code>"integer"</code>.</p> </dd> </dl> <h3>Extends</h3> <p>Class <code>"<a href="MatrixFactorization-class.html">MatrixFactorization</a>"</code>, directly. </p> <h3>See Also</h3> <p><code><a href="Schur.html">Schur</a>()</code> for object creation; <code><a href="MatrixFactorization-class.html">MatrixFactorization</a></code>. </p> <h3>Examples</h3> <pre> showClass("Schur") Schur(M <- Matrix(c(1:7, 10:2), 4,4)) ## Trivial, of course: str(Schur(Diagonal(5))) ## for more examples, see Schur() </pre> <hr /><div style="text-align: center;">[Package <em>Matrix</em> version 1.2-17 <a href="00Index.html">Index</a>]</div> </body></html>