Hi, I'm new here, and not a mathematician at all :(
I am looking for an algorithm to find the roots (in the complex domain) of a polynom of several variables.
Thanks for any light you could bring to me.
Hi, I'm new here, and not a mathematician at all :( I am looking for an algorithm to find the roots (in the complex domain) of a polynom of several variables. Thanks for any light you could bring to me. 

closed as offtopic by Peter LeFanu Lumsdaine, Federico Poloni, Alex Degtyarev, Wolfgang, Anton Deitmar Jan 30 at 10:10This question appears to be offtopic. The users who voted to close gave this specific reason:



To add a little to the previous answer, the zeros of a polynomial in more than one variable will not typically form a discrete set: consider the example of $f(x,y)=yx^2$. The points in the plane which satisfy the equation $f(x,y)=0$ describe a parabola. Your request for an 'algorithm' is too broad to answer here, but many mathematical software packages will plot the zeros for you. In Mathematica, try ContourPlot[f[x,y]==0., ... 


There will be infinitely many. You need as many polynomials as variables to have a finite number. (There is much, much more to say.) 

