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https://idr.l2.nitk.ac.in/jspui/handle/123456789/14621Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Argyros I.K. | |
| dc.contributor.author | George S. | |
| dc.date.accessioned | 2021-05-05T09:23:32Z | - |
| dc.date.available | 2021-05-05T09:23:32Z | - |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Understanding Banach Spaces , Vol. , , p. 115 - 124 | en_US |
| dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/14621 | - |
| dc.description.abstract | We present a local convergence analysis for a fifth-order method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the fourth Fréchet-derivative [1]. Hence, the applicability of these methods is expanded under weaker hypotheses and less computational cost for the constants involved in the convergence analysis. Numerical examples are also provided in this study. © 2020 by Nova Science Publishers, Inc. All rights reserved. | en_US |
| dc.title | Ball convergence theorem for a fifth-order method in banach spaces | en_US |
| dc.type | Book Chapter | en_US |
| Appears in Collections: | 3. Book Chapters | |
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