Directional chebyshev-type methods for solving equations

  1. Argyros, I.K. 2
  2. Herńandez, M.A. 1
  3. Hilout, S. 3
  4. Romero, N. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Cameron University
    info

    Cameron University

    Lawton, Estados Unidos

    ROR https://ror.org/00rgv0036

  3. 3 University of Poitiers
    info

    University of Poitiers

    Poitiers, Francia

    ROR https://ror.org/04xhy8q59

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Journal:
Mathematics of Computation

ISSN: 0025-5718

Year of publication: 2015

Volume: 84

Issue: 292

Pages: 815-830

Type: Article

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SCOPUS: 2-s2.0-84919334533 WoS: WOS:000351442000013 GOOGLE SCHOLAR

More publications in: Mathematics of Computation

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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.