Improved qualitative analysis for newton-like methods with r-order of convergence at least three in banach spaces

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DC Field	Value	Language
dc.contributor.author	Argyros I.K.
dc.contributor.author	George S.
dc.date.accessioned	2021-05-05T09:23:31Z	-
dc.date.available	2021-05-05T09:23:31Z	-
dc.date.issued	2019
dc.identifier.citation	Understanding Banach Spaces , Vol. , , p. 35 - 46	en_US
dc.identifier.uri	http://idr.nitk.ac.in/jspui/handle/123456789/14594	-
dc.description.abstract	The aim of this study is to extend the applicability of a certain family of Newton- like methods with R-order of convergence at least three. By using our new idea of restricted convergence, we find a more precise location where the iterates lie leading to smaller constants and functions than in earlier studies which in turn lead to a tighter semi-local convergence for these methods. This idea can be used on other iterative methods as well as in the local convergence analysis of these methods. Numerical examples further show the advantages of the new results over the ones in earlier studies. © 2020 by Nova Science Publishers, Inc. All rights reserved.	en_US
dc.title	Improved qualitative analysis for newton-like methods with r-order of convergence at least three in banach spaces	en_US
dc.type	Book Chapter	en_US
Appears in Collections:	3. Book Chapters

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