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Non Linear Solver- to find "Complex" roots and extremums

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aarjhangmehr
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Hi,

Can the current NonLinearSolver in unsupported section find out complex roots and extremums?
I have been able to implement unsupported/Eigen/NonLinearOptimization in my c++ code and easily detect "Real" roots of my system of equations. But apparently, it seems that Eigen fails when I want to catch "Complex" roots.
For Example:

F(0)=x(0)*x(1)-4
F(1)=x(0)+x(1)
which gives, x(0)=2i, and x(1)=-2i

To my best knowledge, the "Complex Newton-Secant algorithm" is fairly an acceptable technique to solve these kinds of problems and it is much similar to "Dogleg". Any recommendations?


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