ASKSAGE: Sage Q&A Forum - Individual question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 03 Jun 2013 15:27:52 -0500Reducing a Set of Polynomial Equations to Minimal Variables and Equationshttp://ask.sagemath.org/question/10187/reducing-a-set-of-polynomial-equations-to-minimal-variables-and-equations/I have a list of polynomial equations equal to zero, lets call it
> equations = [f1 == 0, f2 == 0, ..., fn ==0]
I know that each polynomial $f_{i}$ is a function of $n^2$ variables where $n$ is determined by input from the user. Is there any way that I can reduce this system of polynomial equations in Python (or with a Sage package) to a minimal number of polynomials and variables?
I tried looking up Grobner basis (http://www.sagemath.org/doc/constructions/polynomials.html#grobner-bases) but it does not seem to be working for what I want as it doesn't check out correctly with the analytical math I have been doing. Thanks!Mon, 03 Jun 2013 12:23:57 -0500http://ask.sagemath.org/question/10187/reducing-a-set-of-polynomial-equations-to-minimal-variables-and-equations/Comment by kcrisman for <p>I have a list of polynomial equations equal to zero, lets call it</p>
<blockquote>
<p>equations = [f1 == 0, f2 == 0, ..., fn ==0]</p>
</blockquote>
<p>I know that each polynomial $f_{i}$ is a function of $n^2$ variables where $n$ is determined by input from the user. Is there any way that I can reduce this system of polynomial equations in Python (or with a Sage package) to a minimal number of polynomials and variables?</p>
<p>I tried looking up Grobner basis (<a href="http://www.sagemath.org/doc/constructions/polynomials.html#grobner-bases">http://www.sagemath.org/doc/construct...</a>) but it does not seem to be working for what I want as it doesn't check out correctly with the analytical math I have been doing. Thanks!</p>
http://ask.sagemath.org/question/10187/reducing-a-set-of-polynomial-equations-to-minimal-variables-and-equations/?comment=17574#post-id-17574I think that anyone answering this would need more details. Can you post something on e.g. pastebin?Mon, 03 Jun 2013 15:27:52 -0500http://ask.sagemath.org/question/10187/reducing-a-set-of-polynomial-equations-to-minimal-variables-and-equations/?comment=17574#post-id-17574Comment by kcrisman for <p>I have a list of polynomial equations equal to zero, lets call it</p>
<blockquote>
<p>equations = [f1 == 0, f2 == 0, ..., fn ==0]</p>
</blockquote>
<p>I know that each polynomial $f_{i}$ is a function of $n^2$ variables where $n$ is determined by input from the user. Is there any way that I can reduce this system of polynomial equations in Python (or with a Sage package) to a minimal number of polynomials and variables?</p>
<p>I tried looking up Grobner basis (<a href="http://www.sagemath.org/doc/constructions/polynomials.html#grobner-bases">http://www.sagemath.org/doc/construct...</a>) but it does not seem to be working for what I want as it doesn't check out correctly with the analytical math I have been doing. Thanks!</p>
http://ask.sagemath.org/question/10187/reducing-a-set-of-polynomial-equations-to-minimal-variables-and-equations/?comment=17575#post-id-17575See also [this stackoverflow post](http://stackoverflow.com/questions/16906626/reducing-a-set-of-polynomial-equations-to-minimal-variables-and-equations-in-pyt).Mon, 03 Jun 2013 15:27:07 -0500http://ask.sagemath.org/question/10187/reducing-a-set-of-polynomial-equations-to-minimal-variables-and-equations/?comment=17575#post-id-17575