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On the semilocal convergence of efficient Chebyshev–Secant-type methods

✍ Scribed by I.K. Argyros; J.A. Ezquerro; J.M. Gutiérrez; M.A. Hernández; S. Hilout

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
257 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

Newton's method Divided difference Recurrence relations a b s t r a c t

We introduce a three-step Chebyshev-Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relations. Numerical examples validating our theoretical results are also provided in this study.

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