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<!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: Generalized Inverse of a Matrix</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 ginv {MASS}"><tr><td>ginv {MASS}</td><td style="text-align: right;">R Documentation</td></tr></table> <h2> Generalized Inverse of a Matrix </h2> <h3>Description</h3> <p>Calculates the Moore-Penrose generalized inverse of a matrix <code>X</code>. </p> <h3>Usage</h3> <pre> ginv(X, tol = sqrt(.Machine$double.eps)) </pre> <h3>Arguments</h3> <table summary="R argblock"> <tr valign="top"><td><code>X</code></td> <td> <p>Matrix for which the Moore-Penrose inverse is required. </p> </td></tr> <tr valign="top"><td><code>tol</code></td> <td> <p>A relative tolerance to detect zero singular values. </p> </td></tr></table> <h3>Value</h3> <p>A MP generalized inverse matrix for <code>X</code>. </p> <h3>References</h3> <p>Venables, W. N. and Ripley, B. D. (1999) <em>Modern Applied Statistics with S-PLUS.</em> Third Edition. Springer. p.100. </p> <h3>See Also</h3> <p><code><a href="../../base/html/solve.html">solve</a></code>, <code><a href="../../base/html/svd.html">svd</a></code>, <code><a href="../../base/html/eigen.html">eigen</a></code> </p> <hr /><div style="text-align: center;">[Package <em>MASS</em> version 7.3-51.4 <a href="00Index.html">Index</a>]</div> </body></html>