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Re: GSoC 2015: improving matrix funtcions


From: Antonio Pino
Subject: Re: GSoC 2015: improving matrix funtcions
Date: Mon, 23 Mar 2015 23:24:58 +0100
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:31.0) Gecko/20100101 Thunderbird/31.5.0

al., 2015.eko marren 16a 21:28(e)an, Jordi Gutiérrez Hermoso igorleak
idatzi zuen:
> Can you understand any of the papers in this website?
> 
>     http://www.maths.manchester.ac.uk/~higham/NAMF/
> 
> All the links are dead, but perhaps you can still find the articles
> otherwise.

I wanted to go deep into at least one of the articles to further
responding. The one I have chosen is the one named "Computing the Matrix
Cosine" by N.J. Higham and M.I. Smith.

After compiling octave, I have written a draft of a would be cosm
function. It seems to compare well to the actual funm in octave and
real(expm()).

This has brought up to a couple of questions about testing matrix
funcions: is there any way to systematically test a (matrix) function?
The second one is about Padé approximations in octave, right now I am
using sympy (sympy.org) for that purpose.

Either way, my plan for the gsoc is to follow the articles and try to
effectively implement and test all of them.

Finally, I provide you with the m file and new (working) links to the
articles.

Regards,

Antonio PR

Attachment: cosm.m
Description: Text Data

Attachment: octave matrix-functions articles.txt
Description: Text document


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