A UNIFIED CONVERGENCE ANALYSIS FOR SECANT-TYPE METHODS
نویسندگان
چکیده
منابع مشابه
A Unified Convergence Analysis for Secant-type Methods
We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on the limit points of the majorizing sequences involved. Under the same computational cost our semilocal convergence criteria can be weaker; the error bounds...
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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. © 2011 Elsevier B.V. All rights reserved.
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We present a local convergence analysis of mixed secant method in order to approximate solutions of variational inclusions. The local convergence results are given under weaker conditions than in earlier studies such as [4], resulting to a more precise error analysis and the extension of the applicability of the method. A numerical example illustrating the advantages of our approach is also pre...
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We provide a local convergence analysis for Secant– like algorithm for solving nonsmooth variational inclusions in Banach spaces. An existence–convergence theorem and an improvement of the ratio of convergence of this algorithm are given under center–conditioned divided difference and Aubin’s continuity concept. Our result compare favorably with related obtained in [16].
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2014
ISSN: 0304-9914
DOI: 10.4134/jkms.2014.51.6.1155