Method of False Position (Regular Falsi) - Pros/Cons ...
math.stackexchange.com › questions › 786558Advantage of Regula-Falsi with respect to Newton's method: Regula Falsi always converges, and often rapidly, when Newton's method doesn't converge. Disadvangage of Regula-Falsi with respect to Newton's method: Newton's method converges faster, under conditions favorable to it. When ordinary Regula-Falsi has slow convergence, try Anderson-Bjork Regula-Falsi. When it, too, converges slowly, use Bisection.