On the convergence of Broyden's method with regularity continuous divided differences and restricted convergence domains

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:32:37Z
dc.date.issued2017
dc.description.abstractWe present a semilocal convergence analysis for Broyden's method with regularly continuous divided differences in a Banach/Hilbert space setting. By using: center-Lipschitz-type conditions defining restricted convergence domains, at least as weak hypotheses and the same computational cost as in [6] we provide a new convergence analysis for Broyden's method with the following advantages: larger convergence domain; finer error bounds on the distances involved, and at least as precise information on the location of the solution. © 2017 Journal of Nonlinear Functional Analysis.
dc.identifier.citationJournal of Nonlinear Functional Analysis, 2017, 2017, , pp. -
dc.identifier.urihttps://doi.org/10.23952/jnfa.2017.21
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25757
dc.publisherMathematical Research Press
dc.subjectBanach spaces
dc.subjectBroyden's method
dc.subjectComputational costs
dc.subjectConvergence analysis
dc.subjectConvergence domains
dc.subjectDivided difference
dc.subjectError bound
dc.subjectMajorizing sequences
dc.subjectSemi-local convergences
dc.subjectError analysis
dc.titleOn the convergence of Broyden's method with regularity continuous divided differences and restricted convergence domains

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