Optimaleighth-order multiple root finding iterative methods using bivariate weight function

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dc.contributor.authorRajni Sharma
dc.contributor.authorAshu Bahl
dc.contributor.authorRanjita Guglani
dc.date.accessioned2026-02-13T09:24:12Z
dc.date.available2026-02-13T09:24:12Z
dc.date.issued2023
dc.description.abstractInthiscontribution, anovel eighth-order scheme ispresentedfor solvingnonlinearequations withmultipleroots.Theproposedschemecomprisesof threestepswiththemodifiedNewton methodas its first stepfollowedbytwoweightedNewtonsteps involvingoneunivariateand onebivariatefunctionrespectively.Analysisofconvergenceconfirmsthatthepresentedscheme obtains optimal computational order of convergence. The efficiencyof presented scheme is comparednumericallywith recent eighth-ordermethods. Functions like populationgrowth problem,Newton’sbeamproblem, etc.,havebeenconsideredfornumerical experimentation. For the comparative study in the complex plane, we employed the concept of basins of attraction
dc.identifier.issnhttps://doi.org/10.1016/j.rico.2023.100270
dc.identifier.urihttp://davjalandhar.ndl.gov.in/handle/123456789/191
dc.language.isoen
dc.publisherElsevierB.V.
dc.titleOptimaleighth-order multiple root finding iterative methods using bivariate weight function
dc.typeArticle
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