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Re: [Help-gsl] Solve a quartic equation ?


From: John D Lamb
Subject: Re: [Help-gsl] Solve a quartic equation ?
Date: Wed, 29 Jun 2005 07:34:35 +0100
User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.7.7) Gecko/20050414

Maxime Boissonneault wrote:
> Hello,
> In the documentation, I read that polynomial equations can be solved
> exactly up to the fourth ordrer. However, I found nothing in GSL that
> allows this solution to be found, there are only the solutions up to
> third order.
> 
> Is there a way, other than an iterative process implying optimization,
> to solve the quartic equation with GSL ?
> 

The method is descibed here in detail
http://mathworld.wolfram.com/QuarticEquation.html

I believe the method was learnt by mathematics students in the 1930s but
is now considered less useful.


-- 
JDL




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