Extending the applicability of Newton’s method using Wang’s– Smale’s ?–theory

Simple item page
dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:45Z
dc.date.issued2017
dc.description.abstractWe improve semilocal convergence results for Newton’s method by defining a more precise domain where the Newton iterate lies than in earlier studies using the Smale’s ?– theory. These improvements are obtained under the same computational cost. Numerical examples are also presented in this study to show that the earlier results cannot apply but the new results can apply to solve equations. © 2017, North University of Baia Mare. All rights reserved.
dc.identifier.citationCarpathian Journal of Mathematics, 2017, 33, 1, pp. 27-33
dc.identifier.issn15842851
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25798
dc.publisherNorth University of Baia Mare Office_CJEES@yahoo.ro 76 Victoriei Baia Mare 430 122
dc.subjectBanach space
dc.subjectFréchet-derivative
dc.subjectNewton’s method
dc.subjectSemi-local convergence
dc.subjectSmale’s ?– theory
dc.titleExtending the applicability of Newton’s method using Wang’s– Smale’s ?–theory

Files

Collections

Journal Articles