txlyre
/
avram


			
							123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102
							<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html401/loose.dtd">
<html>
<!-- Created on November 8, 2012 by texi2html 1.82
texi2html was written by: 
            Lionel Cons <[email protected]> (original author)
            Karl Berry  <[email protected]>
            Olaf Bachmann <[email protected]>
            and many others.
Maintained by: Many creative people.
Send bugs and suggestions to <[email protected]>
-->
<head>
<title>avram - a virtual machine code interpreter: D.6 gslevu</title>

<meta name="description" content="avram - a virtual machine code interpreter: D.6 gslevu">
<meta name="keywords" content="avram - a virtual machine code interpreter: D.6 gslevu">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="texi2html 1.82">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
pre.display {font-family: serif}
pre.format {font-family: serif}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: serif; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: serif; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.roman {font-family:serif; font-weight:normal;}
span.sansserif {font-family:sans-serif; font-weight:normal;}
ul.toc {list-style: none}
-->
</style>


</head>

<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">

<a name="gslevu"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="Additional-gsldif-notes.html#Additional-gsldif-notes" title="Previous section in reading order"> &lt; </a>]</td>
<td valign="middle" align="left">[<a href="gslevu-calling-conventions.html#gslevu-calling-conventions" title="Next section in reading order"> &gt; </a>]</td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left">[<a href="External-Libraries.html#External-Libraries" title="Beginning of this chapter or previous chapter"> &lt;&lt; </a>]</td>
<td valign="middle" align="left">[<a href="External-Libraries.html#External-Libraries" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="Copying.html#Copying" title="Next chapter"> &gt;&gt; </a>]</td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left">[<a href="avram.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[<a href="avram_toc.html#SEC_Contents" title="Table of contents">Contents</a>]</td>
<td valign="middle" align="left">[<a href="Function-Index.html#Function-Index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="avram_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<hr size="1">
<a name="gslevu-1"></a>
<h2 class="section">D.6 <code>gslevu</code></h2>
<p>This library exports a pair of functions of the form
</p>
<table><tr><td>&nbsp;</td><td><pre class="example">library('gslevu','accel')

library('gslevu','utrunc')
</pre></td></tr></table>

<p>that take a list of real numbers <var>x</var> to a pair of real numbers
<code>(<var>s</var>,<var>e</var>)</code>.
</p>
<p>The idea is that <var>x</var> represents the first few terms of an infinite
<a name="index-infinite-series"></a>
series whose sum converges, but only very slowly. The functions
<a name="index-convergence"></a>
extrapolate an estimate of the infinite summation by the Levin
<a name="index-Levin-u_002dtransform"></a>
u-transform as documented in the GNU Scientific Library reference
manual.
</p>
<p>For well behaved series, considerably fewer terms are needed for an
accurate estimate than a direct summation would require.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top"><a href="gslevu-calling-conventions.html#gslevu-calling-conventions">D.6.1 <code>gslevu</code> calling conventions</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="gslevu-exceptions.html#gslevu-exceptions">D.6.2 <code>gslevu</code> exceptions</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>

<hr size="1">
<p>
 <font size="-1">
  This document was generated on <i>November 8, 2012</i> using <a href="http://www.nongnu.org/texi2html/"><i>texi2html 1.82</i></a>.
 </font>
 <br>

</p>
</body>
</html>