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Re: [Axiom-math] solving polynomial equations
From: |
Dylan Thurston |
Subject: |
Re: [Axiom-math] solving polynomial equations |
Date: |
Sun, 24 Oct 2004 00:41:23 -0400 |
User-agent: |
Mutt/1.5.6+20040907i |
On Fri, Sep 10, 2004 at 03:30:53PM -0400, root wrote:
> General Solution for Polynomial Equations
>
> http://arxiv.org/pdf/math.CA/0408264
>
> the report is that a Dutch student found a formula to determine the
> roots of any polynomial equation. Although an exact solution has been
> proven impossible for higher orders, this is not the case for numerical
> solutions.
Summary of the thread in sci.math:
(a) The problem is badly stated; the correct statement is that there
is no closed-form solution to the general quintic using radicals.
This is not relevant for much of anything; for instance, there are
perfectly satisfying closed-form solutions using elliptic functions,
which are quite computable.
(b) The technique in the paper is a very old technique for
approximating solutions to polynomials, which doesn't work very well.
Peace,
Dylan
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