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Derivative free iterative methods for nonlinear systems

Author

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  • Hueso, José L.
  • Martínez, Eulalia
  • Teruel, Carles

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.

Suggested Citation

  • Hueso, José L. & Martínez, Eulalia & Teruel, Carles, 2015. "Derivative free iterative methods for nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 955-966.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:955-966
    DOI: 10.1016/j.amc.2015.03.026
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    Cited by:

    1. F. I. Chicharro & A. Cordero & J. R. Torregrosa & M. P. Vassileva, 2017. "King-Type Derivative-Free Iterative Families: Real and Memory Dynamics," Complexity, Hindawi, vol. 2017, pages 1-15, October.

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