EXTENDING THE CONVERGENCE REGION OF M-STEP ITERATIVE PROCEDURES

Simple item page
dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:27:05Z
dc.date.issued2021
dc.description.abstractThe convergence region of iterative procedures is small in general, and it becomes smaller as m increases. This problem limits the choice of starting points, and consequently the applicability of these methods. The novelty of this work lies in the fact that, we extend the convergence region by using specializations of the Lipschitz constants used before. Further advantages include improved error estimations and uniqueness results. The results are tested favorably to us on examples. © 2021, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. All rights reserved.
dc.identifier.citationSerdica Mathematical Journal, 2021, 47, 2, pp. 93-106
dc.identifier.issn13106600
dc.identifier.urihttps://doi.org/10.55630/serdica.2021.47.93-106
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23195
dc.publisherBulgarian Academy of Sciences, Institute of Mathematics and Informatics
dc.subjectBanach space
dc.subjectLipschitz continuity
dc.subjectm-step iterative methods
dc.subjectNewton’s method
dc.subjectsemi-local convergence
dc.titleEXTENDING THE CONVERGENCE REGION OF M-STEP ITERATIVE PROCEDURES

Files

Collections

Journal Articles