Semilocal Convergence of the Secant Method under Mild Convergence Conditions of Differentiability

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Aldizkaria:
Computers & Mathematics with Applications

ISSN: 0898-1221

Argitalpen urtea: 2002

Alea: 44

Zenbakia: 3-4

Orrialdeak: 277-285

Mota: Artikulua

DOI: 10.1016/S0898-1221(02)00147-5 SCOPUS: 2-s2.0-0036681220 WoS: WOS:000176539600001 GOOGLE SCHOLAR

Beste argitalpen batzuk: Computers & Mathematics with Applications

Gordailu instituzionala: lock_openSarbide irekia Editor

Laburpena

In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Hölder continuous conditions. Also, we obtain a result for uniqueness of solutions. © 2002 Elsevier Science Ltd. All rights reserved.