An improved root-finding method

1 · Anthony Lloyd · June 2, 2021, 11 p.m.
This method uses two ways to reduce the number of functions calls needed for root-finding. The first is to create a hybrid of Brent's method and Muller's method. The second is to start with points inside the given boundary instead of evaluating the boundary straight away. Hybrid Brent's method is a hybrid root-finding algorithm combining inverse quadratic interpolation, linear interpolation and the bisection method. It has multiple conditions that are used to decide between the potentially fast-...