A New Three-Step Class of Iterative Methods for Solving Nonlinear Systems

Raudys R. Capdevila, Alicia Cordero and Juan R. Torregrosa
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Raudys R. Capdevila: Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, 46022 València, Spain
Alicia Cordero: Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, 46022 València, Spain
Juan R. Torregrosa: Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, 46022 València, Spain

Mathematics, 2019, vol. 7, issue 12, 1-14

Abstract: In this work, a new class of iterative methods for solving nonlinear equations is presented and also its extension for nonlinear systems of equations. This family is developed by using a scalar and matrix weight function procedure, respectively, getting sixth-order of convergence in both cases. Several numerical examples are given to illustrate the efficiency and performance of the proposed methods.

Keywords: nonlinear systems; iterative method; order of convergence; efficiency (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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