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Algorithms to approximate numerically a root of a nonlinear equation or system: for instance, Newton's method, secant method, bisection, etc.

4 votes

Root finding algorithm for an analytic function

I don't know about optimality, but this seems to be a relatively recent survey: Kravanja, Peter; Van Barel, Marc, Computing the zeros of analytic functions, Lecture Notes in Mathematics. 1727. Berlin …
Igor Khavkine's user avatar