3
<title>Root Finding References and Further Reading - GNU Scientific Library -- Reference Manual</title>
4
<meta http-equiv="Content-Type" content="text/html">
5
<meta name="description" content="GNU Scientific Library -- Reference Manual">
6
<meta name="generator" content="makeinfo 4.8">
7
<link title="Top" rel="start" href="index.html#Top">
8
<link rel="up" href="One-dimensional-Root_002dFinding.html#One-dimensional-Root_002dFinding" title="One dimensional Root-Finding">
9
<link rel="prev" href="Root-Finding-Examples.html#Root-Finding-Examples" title="Root Finding Examples">
10
<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
12
Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006 The GSL Team.
14
Permission is granted to copy, distribute and/or modify this document
15
under the terms of the GNU Free Documentation License, Version 1.2 or
16
any later version published by the Free Software Foundation; with the
17
Invariant Sections being ``GNU General Public License'' and ``Free Software
18
Needs Free Documentation'', the Front-Cover text being ``A GNU Manual'',
19
and with the Back-Cover Text being (a) (see below). A copy of the
20
license is included in the section entitled ``GNU Free Documentation
23
(a) The Back-Cover Text is: ``You have freedom to copy and modify this
24
GNU Manual, like GNU software.''-->
25
<meta http-equiv="Content-Style-Type" content="text/css">
26
<style type="text/css"><!--
27
pre.display { font-family:inherit }
28
pre.format { font-family:inherit }
29
pre.smalldisplay { font-family:inherit; font-size:smaller }
30
pre.smallformat { font-family:inherit; font-size:smaller }
31
pre.smallexample { font-size:smaller }
32
pre.smalllisp { font-size:smaller }
33
span.sc { font-variant:small-caps }
34
span.roman { font-family:serif; font-weight:normal; }
35
span.sansserif { font-family:sans-serif; font-weight:normal; }
41
<a name="Root-Finding-References-and-Further-Reading"></a>
42
Previous: <a rel="previous" accesskey="p" href="Root-Finding-Examples.html#Root-Finding-Examples">Root Finding Examples</a>,
43
Up: <a rel="up" accesskey="u" href="One-dimensional-Root_002dFinding.html#One-dimensional-Root_002dFinding">One dimensional Root-Finding</a>
47
<h3 class="section">32.11 References and Further Reading</h3>
49
<p>For information on the Brent-Dekker algorithm see the following two
53
<li>R. P. Brent, “An algorithm with guaranteed convergence for finding a
54
zero of a function”, <cite>Computer Journal</cite>, 14 (1971) 422–425
56
<li>J. C. P. Bus and T. J. Dekker, “Two Efficient Algorithms with Guaranteed
57
Convergence for Finding a Zero of a Function”, <cite>ACM Transactions of
58
Mathematical Software</cite>, Vol. 1 No. 4 (1975) 330–345