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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: Obtain square roots of penalty matrices</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 mini.roots {mgcv}"><tr><td>mini.roots {mgcv}</td><td style="text-align: right;">R Documentation</td></tr></table> <h2>Obtain square roots of penalty matrices</h2> <h3>Description</h3> <p>INTERNAL function to obtain square roots, <code>B[[i]]</code>, of the penalty matrices <code>S[[i]]</code>'s having as few columns as possible. </p> <h3>Usage</h3> <pre> mini.roots(S, off, np, rank = NULL) </pre> <h3>Arguments</h3> <table summary="R argblock"> <tr valign="top"><td><code>S</code></td> <td> <p>a list of penalty matrices, in packed form.</p> </td></tr> <tr valign="top"><td><code>off</code></td> <td> <p>a vector where the i-th element is the offset for the i-th matrix. The elements in columns <code>1:off[i]</code> of <code>B[[i]]</code> will be equal to zero.</p> </td></tr> <tr valign="top"><td><code>np</code></td> <td> <p>total number of parameters.</p> </td></tr> <tr valign="top"><td><code>rank</code></td> <td> <p>here <code>rank[i]</code> is optional supplied rank of <code>S[[i]]</code>. Set <code>rank[i] < 1</code>, or <code>rank=NULL</code> to estimate.</p> </td></tr> </table> <h3>Value</h3> <p>A list of matrix square roots such that <code>S[[i]]=B[[i]]%*%t(B[[i]])</code>. </p> <h3>Author(s)</h3> <p>Simon N. Wood <simon.wood@r-project.org>. </p> <hr /><div style="text-align: center;">[Package <em>mgcv</em> version 1.8-28 <a href="00Index.html">Index</a>]</div> </body></html>