Publication Date:
2012-10-19
Description:
In this paper, we present a family of optimal, in the sense of Kung–Traub’s conjecture, iterative methods for solving nonlinear equations with eighth-order convergence. Our methods are based on Chun’s fourth-order method. We use the Ostrowski’s efficiency index and several numerical tests in order to compare the new methods with other known eighth-order ones. We also extend this comparison to the dynamical study of the different methods. Content Type Journal Article Pages 1-14 DOI 10.1007/s10092-012-0073-1 Authors A. Cordero, Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain M. Fardi, Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran M. Ghasemi, Department of Applied Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord, Iran J. R. Torregrosa, Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624
Print ISSN:
0008-0624
Electronic ISSN:
1126-5434
Topics:
Mathematics
