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scientific article; zbMATH DE number 7624567

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7624567

Statements

scholarly article

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Nebojša M. Ralević

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publication date

29 November 2022

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zbMATH Keywords

nonlinear equation

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multiple root

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optimal methods

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eighth-order of convergence

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MaRDI profile type

MaRDI publication profile

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An optimal scheme for multiple roots of nonlinear equations with eighth-order convergence

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An eighth-order family of optimal multiple root finders and its dynamics

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An Optimal Eighth-Order Scheme for Multiple Zeros of Univariate Functions

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Complex analytic dynamics on the Riemann sphere

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Basins of attraction for Zhou-Chen-song fourth order family of methods for multiple roots

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Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points

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Optimal Order of One-Point and Multipoint Iteration

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On the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal \(m\)th root of a function-to-function ratio

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Basins of attraction for several optimal fourth order methods for multiple roots

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Construction and efficiency of multipoint root-ratio methods for finding multiple zeros

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Convergence of the Newton process to multiple solutions

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Basin attractors for various methods

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An excellent numerical technique for multiple roots

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Graphic and numerical comparison between iterative methods

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Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions

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A variant of Newton's method with accelerated third-order convergence

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Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions

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Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters

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Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics

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Families of third and fourth order methods for multiple roots of nonlinear equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.4134/JKMS.J210607

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Sitelinks

Mathematics(1 entry)

mardi Publication:5053993

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