Directional Chebyshev-type methods for solving equations

Argyros, I.; Hernández, M.; Hilout, S.; Romero, N.

doi:10.1090/S0025-5718-2014-02906-2

Directional Chebyshev-type methods for solving equations
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by I. K. Argyros, M. A. Hernández, S. Hilout and N. Romero;

Math. Comp. 84 (2015), 815-830

DOI: https://doi.org/10.1090/S0025-5718-2014-02906-2

Published electronically: September 23, 2014

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Abstract:

A semi-local convergence analysis for directional Chebyshev-type methods in $m$-variables is presented in this study. Our convergence analysis uses recurrent relations and Newton–Kantorovich-type hypotheses. Numerical examples are also provided to show the effectiveness of the proposed method.

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