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Gröbner basis methods do not scale well as the number of variables increases. The computational complexity becomes too high. Numerical Algebraic Geometry method
by umutisik 3y ago
Gröbner basis methods do not scale well as the number of variables increases. The computational complexity becomes too high. Numerical Algebraic Geometry methods give the correct answer in many cases where there is a practical reason to solve the equations, but not a provably correct answer.
- mathisfun123 3y agoGot a pointer? Paper or code either works.
- nsajko 3y agohttps://en.wikipedia.org/wiki/System_of_polynomial_equations#Solving_numerically https://en.wikipedia.org/wiki/System_of_polynomial_equations... https://en.wikipedia.org/wiki/Numerical_algebraic_geometry https://en.wikipedia.org/wiki/Numerical_algebraic_geometry
- deleted 3y ago[deleted]