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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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An improvement of the region of accessibility of Chebyshev’s method from Newton’s method
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by J. A. Ezquerro and M. A. Hernández PDF
Math. Comp. 78 (2009), 1613-1627 Request permission

Abstract:

A simple modification of Chebyshev’s method is presented, so that the region of accessibility is extended to the one of Newton’s method.
References
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Additional Information
  • J. A. Ezquerro
  • Affiliation: University of La Rioja, Department of Mathematics and Computation, C/ Luis de Ulloa s/n, 26004 Logroño, Spain
  • Email: jezquer@unirioja.es
  • M. A. Hernández
  • Affiliation: University of La Rioja, Department of Mathematics and Computation, C/ Luis de Ulloa s/n, 26004 Logroño, Spain
  • Email: mahernan@unirioja.es
  • Received by editor(s): November 20, 2007
  • Received by editor(s) in revised form: May 19, 2008
  • Published electronically: January 12, 2009
  • Additional Notes: Preparation of this paper was partly supported by the Ministry of Education and Science (MTM 2005-03091).
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 78 (2009), 1613-1627
  • MSC (2000): Primary 47H99, 65J15
  • DOI: https://doi.org/10.1090/S0025-5718-09-02193-0
  • MathSciNet review: 2501066