On Newton’s Midpoint-Type Iterative Scheme’s Convergence

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dc.contributor.authorKrishnendu, R.
dc.contributor.authorSaeed, M.
dc.contributor.authorGeorge, S.
dc.contributor.authorPadikkal, J.
dc.date.accessioned2026-02-04T12:27:36Z
dc.date.issued2022
dc.description.abstractThis paper introduce new three step iterative schemes with order of convergence five and six for solving nonlinear equations in Banach spaces. The proposed scheme’s convergence is assessed using assumptions on the operator’s derivatives up to order two. Unlike earlier studies, the convergence study of these methods are not based on the Taylor’s expansion. Numerical examples and Basin of attractions are given in this study © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
dc.identifier.citationInternational Journal of Applied and Computational Mathematics, 2022, 8, 5, pp. -
dc.identifier.issn23495103
dc.identifier.urihttps://doi.org/10.1007/s40819-022-01468-1
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22378
dc.publisherSpringer
dc.subjectBasin of attractions
dc.subjectComputational efficiency
dc.subjectFréchet derivative
dc.subjectNewton’s midpoint method
dc.subjectOrder of convergence
dc.titleOn Newton’s Midpoint-Type Iterative Scheme’s Convergence

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