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Re: Info on Homotopies and Continuation Methods?
Posted:
Jan 3, 2000 12:09 PM
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In article <386FA4CC.7400FF3@pacific.net.ph>, "Rafael R. Sevilla"
<dido@pacific.net.ph> wrote:
> I've heard of homotopy and continuation methods and am trying to find
> more information on them, as they seem like a very good method for
> solving nonlinear equation systems. I've only been able to find one
> paper on these things at the archive at xxx.lanl.gov, and have no idea
> what subject to start looking at in the books at the college library for
> more information. It's definitely not in the classical numerical
> analysis books. I simply don't know where to begin so I can start using
> them as fluently as I use Newton-Raphson or Runge-Kutta methods. I'm
> looking for theorems on convergence conditions, choices for homotopies,
> and so forth. Thanks a lot in advance.
I recall a pretty good introductory book from the 1980's about these
techniques. It's
Pathways to Solutions, Fixed Points, and Equilibria by Willard I. Zangwill
It is out of print, but maybe a university library will have a copy.
Pretty readable and good intro. I bet if you search on the subjects of
your message you should find info on line or at Amazon.com, Borders,
Barnes & Nobel, etc.
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