From: W. eWatson on
On 6/7/2010 5:43 AM, Bruno Luong wrote:
> "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
Calculus of variations. It's been a long time since I looked at that.
What big line? Not interested in the implementation. I found a SIAM
booklet on optimization I have from 1987-89 that describes the subject
in some detail, 6 pages. There's an AMS pdf by Broyden on the net that
describes his method and includes an Algol program. I'm sure not
interested in converting it!

There's an incomplete and confusing description and example on
Wikipedia. If I knew how to post a message to the site, I'd do it. It
should be removed or corrected.
From: Alan Weiss on
On 6/7/2010 12:14 PM, W. eWatson wrote:
> On 6/7/2010 5:43 AM, Bruno Luong wrote:
>> "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

There is also a more complete description in the "Optimization
Algorithms and Examples" section of the User Guide:
http://www.mathworks.com/access/helpdesk/help/toolbox/optim/ug/brnoyhf.html

Alan Weiss
MATLAB mathematical toolbox documentation