EXTENDED CONVERGENCE OF TWO-STEP ITERATIVE METHODS FOR SOLVING EQUATIONS WITH APPLICATIONS

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-03T13:20:54Z
dc.date.issued2024
dc.description.abstractThe convergence of two-step iterative methods of third and fourth order of convergence are studied under weaker hypotheses than in earlier works using our new idea of the restricted convergence region. This way, we obtain a finer semilocal and local convergence analysis, and under the same or weaker hypotheses. Hence, we extend the applicability of these methods in cases not covered before. Numerical examples are used to compare our results favorably to earlier ones. © 2024, Publishing House of the Romanian Academy. All rights reserved.
dc.identifier.citationJournal of Numerical Analysis and Approximation Theory, 2024, 53, 2, pp. 187-198
dc.identifier.issn24576794
dc.identifier.urihttps://doi.org/10.33993/jnaat532-1178
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/20742
dc.publisherPublishing House of the Romanian Academy
dc.subjectBanach space
dc.subjectconvergence of iterative method
dc.subjectrestricted convergence region
dc.titleEXTENDED CONVERGENCE OF TWO-STEP ITERATIVE METHODS FOR SOLVING EQUATIONS WITH APPLICATIONS

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