Re: Sure Polynomial Roots

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#1190

From: Peter Pan
Date: Thu, 05 Aug 2004 11:06

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Jon <jon8338@peoplepc.com> wrote in message news:<4111D4FB.8050608@peoplepc.com>...
> If r is the root to the nth degree polynomial
> 
> a[0]+a[1]t+a[2]t^2+...+a[n]t^n=0
> 
> Then r is the solution to,
> *******************************************
> a[0]*ln|r|=
> 
>    n
> -SUM(1/p)*a[p]*c^p
>   p=1
> 
>    n
> +SUM(1/p)*a[p]
>   p=1
> 
>       infinity
> -a[0]SUM(-1)^(k+1) * a[0]/(k*c^k)
>       k=n+1
> 
> where
> c={(-1)^n * a[0]/a[n] }^(1/n)
> *******************************************
> 
> This computes roots to a high degree of accuracy and precision.
> 
> For an explanation on how this was derived and examples for its use, see 
> my web site at,
> 
> http://mypeoplepc.com/members/jon8338/polynomial/
> 
> Jon Giffen


JON, PLEASE (!!!) STOP THIS NONSENSE !!!!!

Your method will not even find the root of 

x-1=0

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From: RMoebs1@compuserve.de (Peter Pan)
Newsgroups: sci.math.num-analysis,sci.math,japan.sci.math,han.sci.math,fr.sci.maths,aus.mathematics,alt.math.recreational,bln.sci.mathematik
Subject: Re: Sure Polynomial Roots
Date: 5 Aug 2004 04:06:10 -0700
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