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JOURNALS // Problemy Analiza — Issues of Analysis // Archive
Probl. Anal. Issues Anal., 2021 Volume 10(28), Issue 2, Pages 18–26 (Mi pa321)
This article is cited in 2 papers

Semi-local convergence of a derivative-free method for solving equations

G. Argyrosa, M. Argyrosa, I. K. Argyrosa, S. Georgeb

a Cameron University, 2800 W. Gore Blvd. Lawton, OK 73505-6377, USA
b National Institute of Technology, Karnataka, India-575 025

Abstract: We present the semi-local convergence analysis of a two-step derivative-free method for solving Banach space valued equations. The convergence criteria are based only on the first derivative and our idea of recurrent functions.

Keywords: Banach space, derivative-free method, semi-local convergence.

UDC: 517.988, 519.6, 531

MSC: 65G99, 65J20, 49M15, 74G20, 41A25

Received: 08.10.2020
Revised: 13.10.2020
Accepted: 09.04.2021

Language: English

DOI: 10.15393/j3.art.2021.9230



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© Steklov Math. Inst. of RAS, 2024