A UNIFYING SEMI-LOCAL ANALYSIS FOR ITERATIVE ALGORITHMS OF HIGH CONVERGENCE ORDER

Authors

  • I. Argyros Department of Mathematical Sciences, Cameron University, Lawton, Oklahoma 73505-6377, USA
  • S. Khattri Department of Engineering, Stord Haugesund University College, Norway

Abstract

We present a unifying semi-local convergence analysis of two-step Newton-type methods for solving nonlinear equations in a Banach space setting. Convergence order of these methods is higher than two. Our analysis expands the applicability of these methods by providing weaker convergence criteria and a convergence analysis-which is tighter than earlier studies [see 1-4,24-34] - is also presented. Numerical examples illustrating the developed theoretical results are also given.

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Published

2013-07-07

How to Cite

Argyros, I., & Khattri, S. (2013). A UNIFYING SEMI-LOCAL ANALYSIS FOR ITERATIVE ALGORITHMS OF HIGH CONVERGENCE ORDER. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 4(2), 85-103. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/264

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Section

Research Article