An improved exponential regula falsi methods with quadratic convergence of both diameter and point for solving nonlinear equations Original Research Article

A class of regula falsi iterative formulae for solving nonlinear equations is proposed in this paper. Those methods are shown to be quadratic convergence. Both the sequences of diameters and iterative points sequence are quadratically convergent to zero. The numerical experiments show that new methods are effective and comparable to well-known methods.