Which algorithm may you choose?
If you have an expression of the derivative function df
of f, use the Newton-Raphson method. It's stable and
converges quickly. If you don't have an expression df of
the derivative function of f, the answer is not easy. It
depends, in fact, on what is the most important for you. The Bisection
method will always lead you to a good approximation, but not as quickly
as the others. The three methods False Position, Secant, and Ridder
converge more quickly, but can fail in some cases. The Brent method
seems so to be the most efficient method.
bsargos,Thank you.
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