Solving a special case of conservative problems by Secant-like methods

  1. Hernández, M.A. 1
  2. Rubio, M.J. 1
  3. Ezquerro, J.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Applied Mathematics and Computation

ISSN: 0096-3003

Datum der Publikation: 2005

Ausgabe: 169

Nummer: 2

Seiten: 926-942

Art: Artikel

DOI: 10.1016/J.AMC.2004.09.070 SCOPUS: 2-s2.0-25844493293 WoS: WOS:000232811600016 GOOGLE SCHOLAR

Andere Publikationen in: Applied Mathematics and Computation

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

We study a class of Secant-like iterations for solving nonlinear equations in Banach spaces. A semilocal convergence result is obtained, where the first order divided difference of the nonlinear operator is Hölder continuous. For that, we use a technique based on a new system of recurrence relations to obtain existence-uniqueness domains of the solution and a priori error bounds. These results are applied to solve a special case of conservative problems. © 2004 Elsevier Inc. All rights reserved.