Chapter 2 Solutions of Equations in One Variable
The method of false position(also called the Regula Falsi method) generates approximations in the same manner as the Secant method, but it provides a test to ensure that the root is bracketed between successive iterations, otherwise that Secant step will be discarded and replaced by a bisection step.
References:
【1】
R. L. Burden and J. D. Faires, Numerical Analysis, PWS,