Ridders' method

Ridders' method is simpler than Brent's method but Press et al. (2007) claim that it usually performs about as well.

Ridders' method is a variant on the false-position method that also evaluates the function at the midpoint of the interval, giving faster convergence with similar robustness.

In numerical analysis, Ridders' method is a root-finding algorithm based on the false position method and the use of an exponential function to successively approximate a root of a function f. The method is due to C. Ridders (1979).