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

Authors:
Jinhai Chen;Weiguo Li
Affiliations:
Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong and School of Mathematics and Computational Sciences, University of Petroleum, Dongying, Shand ...;School of Mathematics and Computational Sciences, University of Petroleum, Dongying, Shandong Province, People's Republic of China
Venue:
Applied Numerical Mathematics
Year:
2007

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Abstract

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.