An eighth-order family of optimal multiple root finders and its dynamics (Q1744052)

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scientific article; zbMATH DE number 6860410
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An eighth-order family of optimal multiple root finders and its dynamics
scientific article; zbMATH DE number 6860410

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    An eighth-order family of optimal multiple root finders and its dynamics (English)
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    16 April 2018
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    The class of optimal eighth-order iterative methods for solving nonlinear equations with multiple roots with preliminary known multiplicity \(m\) is presented. Local convergence analysis is conducted. The proposed methods are efficient for determining multiple roots of nonlinear equations.
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    nonlinear equations
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    optimal iterative methods
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    multiple roots
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    efficiency index
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    Kung-Traub conjecture
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