HIGHLY EFFICIENT SOLVERS FOR NONLINEAR EQUATIONS IN BANACH SPACE

Simple item page
dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:27:32Z
dc.date.issued2021
dc.description.abstractWe introduce highly efficient solvers of nonlinear equations involving Banach space valued operators. The local convergence is based only on the first Fréchet derivative in contrast to earlier works using derivatives up to order seven to show the sixth order of convergence. Hence, we extend the applicability of these methods. Numerical examples are used to test the conditions of the theoretical results. © Instytut Matematyczny PAN, 2021.
dc.identifier.citationApplicationes Mathematicae, 2021, 48, 2, pp. 209-220
dc.identifier.issn12337234
dc.identifier.urihttps://doi.org/10.4064/am2392-1-2020
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23401
dc.publisherInstitute of Mathematics. Polish Academy of Sciences
dc.subjectBanach space
dc.subjectFréchet derivative
dc.subjectlocal convergence
dc.subjectorder of convergence
dc.titleHIGHLY EFFICIENT SOLVERS FOR NONLINEAR EQUATIONS IN BANACH SPACE

Files

Collections

Journal Articles