1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
|
<html lang="en">
<head>
<title>line_min - optim_doc</title>
<meta http-equiv="Content-Type" content="text/html">
<meta name="description" content="optim_doc">
<meta name="generator" content="makeinfo 4.13">
<link title="Top" rel="start" href="index.html#Top">
<link rel="up" href="Scalar-optimization.html#Scalar-optimization" title="Scalar optimization">
<link rel="prev" href="brent_005fline_005fmin.html#brent_005fline_005fmin" title="brent_line_min">
<link rel="next" href="samin.html#samin" title="samin">
<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
<!--
Additional documentation for the optim package for Octave.
Copyright (C) <Olaf Till <i7tiol@t-online.de>>
You can redistribute this documentation and/or modify it under the terms
of the GNU General Public License as published by the Free Software
Foundation; either version 3 of the License, or (at your option) any
later version.
This documentation is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
Public License for more details.
You should have received a copy of the GNU General Public License along
with this documentation; if not, see <http://www.gnu.org/licenses/>.-->
<meta http-equiv="Content-Style-Type" content="text/css">
<style type="text/css"><!--
pre.display { font-family:inherit }
pre.format { font-family:inherit }
pre.smalldisplay { font-family:inherit; font-size:smaller }
pre.smallformat { font-family:inherit; font-size:smaller }
pre.smallexample { font-size:smaller }
pre.smalllisp { font-size:smaller }
span.sc { font-variant:small-caps }
span.roman { font-family:serif; font-weight:normal; }
span.sansserif { font-family:sans-serif; font-weight:normal; }
--></style>
</head>
<body>
<div class="node">
<a name="line_min"></a>
<a name="line_005fmin"></a>
<p>
Next: <a rel="next" accesskey="n" href="samin.html#samin">samin</a>,
Previous: <a rel="previous" accesskey="p" href="brent_005fline_005fmin.html#brent_005fline_005fmin">brent_line_min</a>,
Up: <a rel="up" accesskey="u" href="Scalar-optimization.html#Scalar-optimization">Scalar optimization</a>
<hr>
</div>
<h3 class="section">1.17 Linesearch, minimize a function along dx</h3>
<p><a name="index-line_005fmin-25"></a>
<h4 class="subheading">Helptext:</h4>
<p><a name="XREFline_005fmin"></a>
<pre class="verbatim">[a,fx,nev] = line_min (f, dx, args, narg, h, nev_max) - Minimize f() along dx
INPUT ----------
f : string : Name of minimized function
dx : matrix : Direction along which f() is minimized
args : cell : Arguments of f
narg : integer : Position of minimized variable in args. Default=1
h : scalar : Step size to use for centered finite difference
approximation of first and second derivatives. Default=1E-3.
nev_max : integer : Maximum number of function evaluations. Default=30
OUTPUT ---------
a : scalar : Value for which f(x+a*dx) is a minimum (*)
fx : scalar : Value of f(x+a*dx) at minimum (*)
nev : integer : Number of function evaluations
(*) The notation f(x+a*dx) assumes that args == {x}.
Reference: David G Luenberger's Linear and Nonlinear Programming
</pre>
<!-- -->
</body></html>
|
