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From: "John D'Errico" <woodchips@rochester.rr.com>
Newsgroups: comp.soft-sys.matlab
Subject: Re: Common tangent
Date: Wed, 28 Nov 2007 17:30:13 +0000 (UTC)
Organization: John D'Errico (1-3LEW5R)
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"Bruno Luong" <b.luong@fogale.fr> wrote in message 
<fik01e$csg$1@fred.mathworks.com>...
> "John D'Errico" <woodchips@rochester.rr.com> wrote in
> message <fijhn9$bfi$1@fred.mathworks.com>...
> > 
> > Also in the event of the optimization, recognize
> > that while an optimizer can solve the problem,
> > this may well have multiple local minima, or it
> > may have no true solution at all. You will need
> > good starting values, or you will need to start
> > off the optimizer at multiple points, taking the
> > best overall solution.
> > 
> 
> John,
> 
> Why you are suggesting optimization tool for such problem
> with all the eventual drawbacks (e.g., metric tbd, i.e.,
> closest notion tbd, local minima, hard to find all the
> solutions, hard to distinguish whereas a numerical solution
> is a real solution)?
> 
> It seems to me optimization is a too complex tool and not
> suitable for such problem. I would avoid it all together.
> 
> There is much better way to find intersection of two curves
> in the plane.
> 
> Bruno

Are you kidding? I'm trying to suggest that
an optimization will be fraught with problems.

John