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Iterative Methods with Memory for Solving Systems of Nonlinear Equations Using a Second Order Approximation
Open AccessArticle

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

1
Institute for Multidisciplinary Mathematics, Universitat Politècnica de València, 46022 València, Spain
2
Dpto. de Educación en Línea, Universidad San Francisco de Quito, Quito 170901, Ecuador
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1221; https://doi.org/10.3390/math7121221
Received: 22 November 2019 / Revised: 5 December 2019 / Accepted: 6 December 2019 / Published: 11 December 2019
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. View Full-Text
Keywords: nonlinear systems; iterative method; order of convergence; efficiency nonlinear systems; iterative method; order of convergence; efficiency
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MDPI and ACS Style

Capdevila, R.R.; Cordero, A.; Torregrosa, J.R. A New Three-Step Class of Iterative Methods for Solving Nonlinear Systems. Mathematics 2019, 7, 1221.

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