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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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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