gslevu.html 2.6 KB

12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061
  1. <html lang="en">
  2. <head>
  3. <title>gslevu - avram - a virtual machine code interpreter</title>
  4. <meta http-equiv="Content-Type" content="text/html">
  5. <meta name="description" content="avram - a virtual machine code interpreter">
  6. <meta name="generator" content="makeinfo 4.13">
  7. <link title="Top" rel="start" href="index.html#Top">
  8. <link rel="up" href="External-Libraries.html#External-Libraries" title="External Libraries">
  9. <link rel="prev" href="gsldif.html#gsldif" title="gsldif">
  10. <link rel="next" href="gslint.html#gslint" title="gslint">
  11. <link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
  12. <meta http-equiv="Content-Style-Type" content="text/css">
  13. <style type="text/css"><!--
  14. pre.display { font-family:inherit }
  15. pre.format { font-family:inherit }
  16. pre.smalldisplay { font-family:inherit; font-size:smaller }
  17. pre.smallformat { font-family:inherit; font-size:smaller }
  18. pre.smallexample { font-size:smaller }
  19. pre.smalllisp { font-size:smaller }
  20. span.sc { font-variant:small-caps }
  21. span.roman { font-family:serif; font-weight:normal; }
  22. span.sansserif { font-family:sans-serif; font-weight:normal; }
  23. --></style>
  24. </head>
  25. <body>
  26. <div class="node">
  27. <a name="gslevu"></a>
  28. <p>
  29. Next:&nbsp;<a rel="next" accesskey="n" href="gslint.html#gslint">gslint</a>,
  30. Previous:&nbsp;<a rel="previous" accesskey="p" href="gsldif.html#gsldif">gsldif</a>,
  31. Up:&nbsp;<a rel="up" accesskey="u" href="External-Libraries.html#External-Libraries">External Libraries</a>
  32. <hr>
  33. </div>
  34. <h3 class="section">D.6 <code>gslevu</code></h3>
  35. <p>This library exports a pair of functions of the form
  36. <pre class="example"> library('gslevu','accel')
  37. library('gslevu','utrunc')
  38. </pre>
  39. <p class="noindent">that take a list of real numbers <var>x</var> to a pair of real numbers
  40. <code>(</code><var>s</var><code>,</code><var>e</var><code>)</code>.
  41. <p>The idea is that <var>x</var> represents the first few terms of an infinite
  42. <a name="index-infinite-series-722"></a>series whose sum converges, but only very slowly. The functions
  43. <a name="index-convergence-723"></a>extrapolate an estimate of the infinite summation by the Levin
  44. <a name="index-Levin-u_002dtransform-724"></a>u-transform as documented in the GNU Scientific Library reference
  45. manual.
  46. <p>For well behaved series, considerably fewer terms are needed for an
  47. accurate estimate than a direct summation would require.
  48. <ul class="menu">
  49. <li><a accesskey="1" href="gslevu-calling-conventions.html#gslevu-calling-conventions">gslevu calling conventions</a>
  50. <li><a accesskey="2" href="gslevu-exceptions.html#gslevu-exceptions">gslevu exceptions</a>
  51. </ul>
  52. </body></html>