Just came across this article the other day.

I just skimmed this, so don't know if this will be a big help or not:

http://codebase.cemyuksel.com/soln/using_cypolynomial.html

Hopefully it's something you can easily and productively make use of.

- BW

Post a reply to this message

"Bald Eagle" <cre### [at] netscapenet> wrote:
> Just came across this article the other day.
>
> I just skimmed this, so don't know if this will be a big help or not:
>
> http://codebase.cemyuksel.com/soln/using_cypolynomial.html
>
> Hopefully it's something you can easily and productively make use of.
>
> - BW

Interesting. Like you I skimmed it, but I quit looking after the code got down
to  Newton. It looks like the code is for finding roots of polynomials in 1
variable.
I wonder if there is away to find roots for polynomials in n variables.

Have Fun!

Post a reply to this message

On 8/25/25 14:03, Bald Eagle wrote:
> 
> Just came across this article the other day.
> 
> I just skimmed this, so don't know if this will be a big help or not:
> 
> http://codebase.cemyuksel.com/soln/using_cypolynomial.html
> 
> Hopefully it's something you can easily and productively make use of.
> 
> - BW
> 

Thanks for the reference. On the surface it looks like not much new, but 
I didn't read the referenced paper.

The yuqk fork implements new New-Raphson solvers as lambda functions to 
polish roots internal to the solve_cubic(), solve_quartic() and 
polysolve() solvers. The method long used elsewhere in the POV-Ray 
source code too. The superellipsoid shape at least & more. Been too long 
(6-7 years) since I was heavily into re-fining the solvers.

Bill P.

Post a reply to this message

On 8/25/25 15:51, Leroy wrote:
> I wonder if there is away to find roots for polynomials in n variables.

Yep. :-) For example:

https://en.wikipedia.org/wiki/System_of_linear_equations

Bill P.

Post a reply to this message

William F Pokorny <ano### [at] anonymousorg> wrote:
> On 8/25/25 15:51, Leroy wrote:
> > I wonder if there is away to find roots for polynomials in n variables.
>
> Yep. :-) For example:
>
> https://en.wikipedia.org/wiki/System_of_linear_equations
>
> Bill P.

Ya I remember that System_of_linear_equations. In high school we had a problem
with 14 or more equations. But that was a long time ago. What I was thinking of
was one equation like X^2+xyz^3+... with more variables. If I was really
thinking I would not have ask that question because it was just dumb. Some times
I just don't think!

Have Fun!

Post a reply to this message