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From: W. eWatson on 6 Jun 2010 23:50
See subject. Roughly how does it work? Does it do some symbolic
manipulation and substitution on the equations? Is there a numeric
algorithm (without symbolic subs)? A trick like (3x+y+26)**2 +
(5x+2y-10)**2 for linear systems?
From: W. eWatson on 7 Jun 2010 00:52
On 6/6/2010 8:50 PM, W. eWatson wrote:
> See subject. Roughly how does it work? Does it do some symbolic
> manipulation and substitution on the equations? Is there a numeric
> algorithm (without symbolic subs)? A trick like (3x+y+26)**2 +
> (5x+2y-10)**2 for linear systems?
It appears Newton had a method for this. Maybe there are other methods?
From: Bruno Luong on 7 Jun 2010 02:56
At the end of the document, you find the brief description of the method:
http://www.mathworks.com/access/helpdesk/help/toolbox/optim/ug/fsolve.html

Bruno
From: W. eWatson on 7 Jun 2010 08:14
On 6/6/2010 11:56 PM, Bruno Luong wrote:
> At the end of the document, you find the brief description of the method:
> http://www.mathworks.com/access/helpdesk/help/toolbox/optim/ug/fsolve.html
>
> Bruno
Thanks. I saw that, but it doesn't look like it's readily available on
the web.

Well, I'll give Google a try. If nothing, then I'll see if I can arrange
an interlibrary loan. We sure won't have the book here.
From: Bruno Luong on 7 Jun 2010 08:43
"W. eWatson" <wolftracks(a)invalid.com> wrote in message <huinsc$562$1(a)news.eternal-september.org>...
> On 6/6/2010 11:56 PM, Bruno Luong wrote:
> > At the end of the document, you find the brief description of the method:
> > http://www.mathworks.com/access/helpdesk/help/toolbox/optim/ug/fsolve.html
> >
> > Bruno
> Thanks. I saw that, but it doesn't look like it's readily available on
> the web.
>
> Well, I'll give Google a try. If nothing, then I'll see if I can arrange
> an interlibrary loan. We sure won't have the book here.

If you don't care about the implementation detail, then reading the papers listed in the bibliography is probably overkill. The principle of those methods can be found in a single good optimization text book (there is strong interaction between solving system and optimization - called "variational principle"), or described in the big line from Wikipedia or such.

Bruno
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