Extensions of kantorovich-type theorems for Newton's method
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Date
2020
Authors
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Journal ISSN
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Publisher
Institute of Mathematics. Polish Academy of Sciences publ@impan.gov.pl
Abstract
We extend the applicability of Newton's method, so we can approximate a locally unique solution of a nonlinear equation in a Banach space setting in cases not covered before. To achieve this, we find a more precise set containing the Newton iterates than in earlier works. © Instytut Matematyczny PAN, 2020
Description
Keywords
Majorant function, Newton's method, Restricted convergence domain, Semilocal convergence
Citation
Applicationes Mathematicae, 2020, 47, 1, pp. 145-153