Improved semilocal convergence analysis in Banach space with applications to chemistry View Full Text


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Article Info

DATE

2017-11-10

AUTHORS

Ioannis K. Argyros, Elena Giménez, Á. A. Magreñán, Í. Sarría, Juan Antonio Sicilia

ABSTRACT

We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on the limit points of the majorizing sequences involved. Under the same computational cost on the parameters involved our convergence criteria are weaker and the error bounds more precise than in earlier studies. A numerical example is also presented to illustrate the theoretical results obtained in this study. More... »

PAGES

1958-1975

References to SciGraph publications

  • 1987-09. A convergence theorem for Newton-like methods in Banach spaces in NUMERISCHE MATHEMATIK
  • 1978-09. Untere Fehlerschranken für Regula-falsi-Verfahren in PERIODICA MATHEMATICA HUNGARICA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10910-017-0823-z

    DOI

    http://dx.doi.org/10.1007/s10910-017-0823-z

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1092617201


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