Secant-like methods for solving nonlinear models with applications to chemistry View Full Text


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Article Info

DATE

2017-11-05

AUTHORS

Á. Alberto Magreñán, Ioannis K. Argyros, Lara Orcos, Juan Antonio Sicilia

ABSTRACT

We present a local as well a semilocal convergence analysis of secant-like methods under g eneral conditions in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The new conditions are more flexible than in earlier studies. This way we expand the applicability of these methods, since the new convergence conditions are weaker. Moreover, these advantages are obtained under the same conditions as in earlier studies. Numerical examples are also provided in this study, where our results compare favorably to earlier ones. More... »

PAGES

1935-1957

References to SciGraph publications

  • 1982-10. An error analysis for the secant method in NUMERISCHE MATHEMATIK
  • 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/s10910-017-0824-y

    DOI

    http://dx.doi.org/10.1007/s10910-017-0824-y

    DIMENSIONS

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