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NSolve with varying parameter

• To: mathgroup at smc.vnet.net
• Subject: [mg18692] NSolve with varying parameter
• From: Dr Dan <drdanw at my-deja.com>
• Date: Thu, 15 Jul 1999 01:46:07 -0400
• Organization: Deja.com - Share what you know. Learn what you don't.
• Sender: owner-wri-mathgroup at wolfram.com

I have encountered a problem that I think is general enough that there
should be a built-in or standard package function, but I cannot find it.

I have a set of algebraic equations in several variables (determined
system; #equations = #variables) and a single parameter.  I need a
function that will numerically solve the system over an interval of
values for the parameter and return InterpolatingFunction's.  The
syntax would be much like NDSolve, with the equations restricted to
algebraic only.

For simple systems, I can use Solve to get explicit functions in the
parameter; but I cannot ensure that the equations in question will have
a closed form solution.

I have written my own function to do this using NSolve and
NestWhileList, but I would certainly rather use a built-in if one
exists.

Any suggestions?


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• Follow-Ups:
  • Re: NSolve with varying parameter
    • From: Carl Woll <carlw@u.washington.edu>