Regula falsi - Wikipedia
https://en.wikipedia.org/wiki/Regula_falsiThe method of false position provides an exact solution for linear functions, but more direct algebraic techniques have supplanted its use for these functions. However, in numerical analysis, double false position became a root-finding algorithm used in iterative numerical approximation techniques. Many equations, including most of the more complicated ones, can be solved …
Regula-Falsi Method
math.iitm.ac.in › public_html › sryedidaREGULA-FALSI METHOD. The convergce process in the bisection method is very slow. It depends only on the choice of end points of the interval [a,b]. The function f(x) does not have any role in finding the point c (which is just the mid-point of a and b). It is used only to decide the next smaller interval [a,c] or [c,b].