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On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously

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dc.contributor.authorShams, Mudassir
dc.contributor.authorRafiq, Naila
dc.contributor.authorKausar, Nasreen
dc.contributor.authorAgarwal, Praveen
dc.contributor.authorPark, Choonkil
dc.contributor.authorMir, Nazir Ahmad
dc.date.accessioned2026-06-27T14:39:00Z
dc.date.issued2021
dc.description.abstractA highly efficient new three-step derivative-free family of numerical iterative schemes for estimating all roots of polynomial equations is presented. Convergence analysis proved that the proposed simultaneous iterative method possesses 12th-order convergence locally. Numerical examples and computational cost are given to demonstrate the capability of the method presented.en
dc.description.urihttps://doi.org/10.1186/s13662-021-03616-1
dc.identifier.doi10.1186/s13662-021-03616-1
dc.identifier.issn1687-1847
dc.identifier.issue1
dc.identifier.urihttps://hdl.handle.net/20.500.14981/63094
dc.identifier.volume2021
dc.identifier.wos000708910100004
dc.language.isoeng
dc.publisherSPRINGER
dc.relation.ispartofADVANCES IN DIFFERENCE EQUATIONS
dc.rightsopenAccess
dc.subjectNumerical scheme
dc.subjectPolynomials
dc.subjectComputational efficiency
dc.subjectCPU-time
dc.subjectConvergence order
dc.subjectROOT-FINDING METHODS
dc.subjectITERATIVE METHODS
dc.subjectSIMULTANEOUS APPROXIMATION
dc.subjectNONLINEAR EQUATIONS
dc.subjectCONVERGENCE
dc.subjectZEROS
dc.subjectDISTINCT
dc.subjectMathematics
dc.titleOn highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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