Derivative free iterative methods for nonlinear systems

José L. Hueso, Eulalia Martínez and Carles Teruel

Applied Mathematics and Computation, 2015, vol. 259, issue C, 955-966

Abstract: In this work we introduce a new operator of divided differences that preserves the convergence order when it is used for approximating the Jacobian matrix in iterative method for solving nonlinear systems. We obtain derivative free iterative methods with lower computational cost than the corresponding ones with different operators of divided differences. We also study the global convergence of these methods by analyzing their dynamical behavior.

Keywords: Divided differences; Nonlinear systems; Iterative methods; Convergence order; Dynamical properties (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:955-966

DOI: 10.1016/j.amc.2015.03.026

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