On the convergence of King–Werner-type methods of order 1+2 free of derivatives

Hongmin Ren and Ioannis K. Argyros

Applied Mathematics and Computation, 2015, vol. 256, issue C, 148-159

Abstract: We present a semilocal and local convergence analysis of some efficient King–Werner-type methods of order 1+2 free of derivatives in a Banach space setting. Numerical examples are presented to illustrate the theoretical results.

Keywords: King’s method; Werner’s method; Secant-type method; Banach space; Semilocal and local convergence analysis; Fréchet-derivative (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:148-159

DOI: 10.1016/j.amc.2015.01.028

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