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Solving polynomial equations of 15 variables, long time, no output

Vicky Wei
Posted 3 years ago

I have a system of polynomial equations of 15 variables and 14 equations and need an analytical solution. The highest degree of the polynomials is 3. I wonder what's the best way to deal with this?

I've tried to use Solve and GroebnerBasis, but both functions taking more than a day and not giving any solution. Is there a better way to deal with this problem using Mathematica or other program? Anyone has done some solving large system of polynomials with Mathematica and have an idea of how long it takes to get a result?

Thank you!!
POSTED BY: Vicky Wei
3 Replies
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Is the system readily available in copy-pastable format?
POSTED BY: Daniel Lichtblau
Vicky Wei
Vicky Wei
Posted 3 years ago

I am looking for an analytical solution for now and I'm aware there is a free variable there.

POSTED BY: Vicky Wei

If you’re looking for numerical solutions, you could try Newton’s method. Another method that often works is successive substitution. But if you have 15 variables and only 14 equations, then you need one more equation.
POSTED BY: John Shonder
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