[Top][All Lists]

[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
## 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

**
**`signature.asc`

*Description:* Digital signature

[Prev in Thread] |
**Current Thread** |
[Next in Thread] |

**Re: [Axiom-math] solving polynomial equations**,
*Dylan Thurston* **<=**