I need a c# program to find the roots of two polynomials (each in 2 variables) numerically.
The program should be general for polynomials upto degree 20.
The requirement is that this program should be fast (less than 100 ms on a 2.4 Gz PC).
I am not interested in complex roots, only real roots will work.
The program should be self-contained and should not depend on any other package.
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Math and Computing degre in University. C, C++, C#, Fortran, TPascal, MathLab, Module2, etc. experience doing math applications like a range calculator with string formula interpreter.