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*[http://ltilib.sourceforge.net/doc/homepage/index.shtml LTI-Lib] is an object oriented library with algorithms and data structures frequently used in image processing and computer vision. LGPL
*[http://ltilib.sourceforge.net/doc/homepage/index.shtml LTI-Lib] is an object oriented library with algorithms and data structures frequently used in image processing and computer vision. LGPL
==Symbolic==
===Symbolic Manipulation===
Octave is a matrix algebra tool, not a symbolic algebra tool, so it cannot perform symbolic operations, such as finding the derivative of sine(x) with respect to x
y = derivative('sin(x)','x'); # Not available in Octave
The below mentioned GiNaC will add symbolic functionality to octave.
===Octave interfaces to GiNaC===
There are two Octave interfaces to GiNaC[1] available
*gino -- http://www.sourceforge.net/projects/mtt (download) provides an Octave interface to GiNaC via ginsh
octave:1> df = g_diff ( "sin(x)" , "x" )
df = cos(x)
octave:2> x = pi; eval ( df );
ans = -1
*OctaveForge provides direct access to GiNaC in the [http://octave.sourceforge.net/index/navsymbolic.html symbolic package]. Here is a http://wiki.octave.org/wiki.pl?OctaveForgeGNCIntro short tutorial] to get you started.
===Numerical methods===
In some instances, Octave can give reasonable results using numerical methods
*Octave supports numerical derivatives:
t = linspace(0,6,100);
y = sin(t);
dydt = diff(y) ./ diff(t)
*OctaveForge has other numerical derivative functions.
===Symbolic algebra systems===
Software other than Octave may be more useful for work involving symbolic manipulations
Free software
*Axiom: http://www.nongnu.org/axiom/
*GiNaC/ginsh: http://www.ginac.de
*Maxima: http://maxima.sourceforge.net
*Yacas: http://yacas.sourceforge.net
Non-free software
*Maple: http://www.maplesoft.com
*Reduce: http://www.uni-koeln.de/REDUCE
Note that most of these systems (and Octave!) may be used from within TeXmacs http://www.texmacs.org
A list of some other scientific software is available at http://sal.kachinatech.com/
Please note that all contributions to Octave may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see Octave:Copyrights for details). Do not submit copyrighted work without permission!

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