A procedure for increasing the convergence order of iterative methods from p to 5p for solving nonlinear system

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dc.contributor.authorGeorge, S.
dc.contributor.authorM, M.
dc.contributor.authorGopal, M.
dc.contributor.authorGodavarma, C.
dc.contributor.authorArgyros, I.K.
dc.date.accessioned2026-02-03T13:20:02Z
dc.date.issued2025
dc.description.abstractIn this paper, we propose a procedure to obtain an iterative method that increases its convergence order from p to 5p for solving nonlinear systems. Our analysis is given in more general Banach space settings and uses assumptions on the derivative of the involved operator only up to order max?{k,2}. Here, k is the order of the highest derivative used in the convergence analysis of the iterative method with convergence order p. A particular case of our analysis includes an existing fifth-order method and improves its applicability to more problems than the problems covered by the method's analysis in earlier study. © 2024
dc.identifier.citationJournal of Complexity, 2025, 87, , pp. -
dc.identifier.issn0885064X
dc.identifier.urihttps://doi.org/10.1016/j.jco.2024.101921
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/20343
dc.publisherAcademic Press Inc.
dc.subjectIterative methods
dc.subjectNonlinear equations
dc.subjectConvergence analysis
dc.subjectConvergence order
dc.subjectFrechet derivative
dc.subjectHigher derivatives
dc.subjectMethod analysis
dc.subjectNon-linear equations
dc.subjectOrder of convergence
dc.subjectBanach spaces
dc.titleA procedure for increasing the convergence order of iterative methods from p to 5p for solving nonlinear system

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