Please use this identifier to cite or link to this item: https://idr.l3.nitk.ac.in/jspui/handle/123456789/13677
Title: Unified Convergence for Multi-Point Super Halley-Type Methods with Parameters in Banach Space
Authors: Argyros, I.K.
George, S.
Issue Date: 2019
Citation: Indian Journal of Pure and Applied Mathematics, 2019, Vol.50, 1, pp.-
Abstract: We present a local convergence analysis of a multi-point super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting. The convergence analysis in earlier works was based on hypotheses reaching up to the third derivative of the operator. In the present study we expand the applicability of the Super-Halley-like method by using hypotheses only on the first derivative. We also provide: A computable error on the distances involved and a uniqueness result based on Lipschitz constants. The convergence order is also provided for these methods. Numerical examples are also presented in this study. � 2019, Indian National Science Academy.
URI: 10.1007/s13226-019-0302-2
http://idr.nitk.ac.in/jspui/handle/123456789/13677
Appears in Collections:1. Journal Articles

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