On a higher order Secant method

Authors:
Sergio Amat;Sonia Busquier
Affiliations:
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Paseo de Alfonso XIII, 52, E-30203 Cartagena, Spain;Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Paseo de Alfonso XIII, 52, E-30203 Cartagena, Spain
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

In this paper we carry out a modification of the classical Secant method. Our goal is to accelerate the convergence (until order two), but without using any derivative. Two convergence theorems are presented. Finally, some numerical experiments are analyzed.