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Mathematical questions related to mathematical software systems such as Sage, Mathematica, Maple, Pari/GP, and GAP. Note that troubleshooting questions are generally considered off-topic.

2 votes

Solving a System of Quadratic Equations

What you have is an instance of a quadratically constrained quadratic program (QCQP). These problems are NP-hard in general (though it's possible your particular type of instance is not hard as fedja …
Noah Stein's user avatar
  • 8,501
8 votes

Software for symbolic matrix calculus?

I have not used it, but the NCAlgebra (NC for noncommutative) extension for Mathematica does do directional derivatives at least. It is aimed mostly at algebra involving noncommutative variables and …
Noah Stein's user avatar
  • 8,501
4 votes

Software for rigorous optimization of real polynomials

I see Gloptipoly has already been mentioned. This is an implementation of the general sum-of-squares/Positivstellensatz methods which allow one to relax polynomial problems into convex optimization p …
Noah Stein's user avatar
  • 8,501