Extending the applicability of Newton’s and secant methods under regular smoothness

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.contributor.authorErappa, S.M.
dc.date.accessioned2026-02-05T09:28:03Z
dc.date.issued2020
dc.description.abstractThe concept of regular smoothness has been shown to be an appropriate and powerfull tool for the convergence of iterative procedures converging to a locally unique solution of an operator equation in a Banach space setting. Motivated by earlier works, and optimization considerations, we present a tighter semi-local convergence analysis using our new idea of restricted convergence domains. Numerical examples complete this study. © 2020 Boletim da Sociedade Paranaense de Matematica. All rights reserved.
dc.identifier.citationBoletim da Sociedade Paranaense de Matematica, 2020, 39, 6, pp. 195-210
dc.identifier.issn378712
dc.identifier.urihttps://doi.org/10.5269/BSPM.42132
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23668
dc.publisherBoletim da Sociedade Paranaense de Matematica
dc.subjectKantorovich hypothesis
dc.subjectMajorizing operator
dc.subjectNewton’s method
dc.subjectRegular smoothness
dc.subjectSecant method
dc.titleExtending the applicability of Newton’s and secant methods under regular smoothness

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