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Title: | Extended convergence of king-werner-like methods without derivatives |
Authors: | Argyros I.K. George S. |
Issue Date: | 2019 |
Citation: | Understanding Banach Spaces , Vol. , , p. 125 - 135 |
Abstract: | We provide a semilocal as well as a local convergence analysis of some efficient King-Werner-likemethods of order 1+2 free of derivatives for Banach space valued operators. We use our new idea of the restricted convergence region to find a smaller subset than before containing the iterates. Consequently the resulting Lipschitz parameters are smaller than in earlier works. Hence, to a finer convergence analysis is obtained. The extensions involve no new constants, since the new ones specialize to the ones in previous works. Examples are used to test the convergence criteria. © 2020 by Nova Science Publishers, Inc. All rights reserved. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/14590 |
Appears in Collections: | 3. Book Chapters |
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