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MathGroup Archive 2000

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[Q] accuracy control in eq. solving?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg23678] [Q] accuracy control in eq. solving?
  • From: research at proton.csl.uiuc.edu (James)
  • Date: Mon, 29 May 2000 12:24:06 -0400 (EDT)
  • Organization: University of Illinois at Urbana-Champaign
  • Sender: owner-wri-mathgroup at wolfram.com

Hello!

I have a question regarding to the accuracy control of
the equation solution.

I'm currently solving polynomial equations(degrees are at least 5),
and wondering if I can control the accuracy level
of the solution.
Specifically, when I recomputed the original equation
by replacing the answers that mathematica gives,
I got the error of roughly 10^-7 or 10^-8 for degree 9.
Regarding this, I have the following questions.

  (1) Is there any way to control(increase) the accuracy?
  (2) What would be the best known math tool (in terms of accuracy)
      in solving high-degree polynimial equations?
  (3) I'm a newbie in mathematica,
      so I manually type in, when I check the answer(polynomial eqs.).
      Is there any systax for that in mathematica?


Thank you.
      



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