Iterative methods for ill-conditioned roots
type: Item
instance of: scholarly article
title: Iterative methods for ill-conditioned roots
zbMATH Open document ID: 1444.65018
author: V. Candela
author: R. Peris
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2018-04-12T00:00:00Z
Mathematics Subject Classification ID: 65H04
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6859006
zbMATH Keywords: iterative methods
zbMATH Keywords: nonlinear equations
zbMATH Keywords: ill conditioning
zbMATH Keywords: nonsimple roots
zbMATH Keywords: order of convergence
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s40324-017-0114-4
OpenAlex ID: W2590951659
cites work: Q4725642
cites work: Recurrence relations for rational cubic methods. I: The Halley method
cites work: Recurrence relations for rational cubic methods. II: The Chebyshev method
cites work: The rate of multiplicity of the roots of nonlinear equations and its application to iterative methods
cites work: On the convergence of some quasi-Newton methods for nonlinear equations with nondifferentiable operators
cites work: Some modification of Newton's method by the method of undetermined coefficients
cites work: A third-order modification of Newton's method for multiple roots
cites work: Quasi-Newton Methods, Motivation and Theory
cites work: A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
cites work: A study of accelerated Newton methods for multiple polynomial roots
cites work: A family of Chebyshev-Halley type methods in Banach spaces
cites work: Recurrence relations for the super-Halley method
cites work: Q5553606
cites work: Improving the Van de Vel root-finding method
cites work: On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
cites work: A new fourth-order iterative method for finding multiple roots of nonlinear equations
cites work: Fifth-order iterative method for finding multiple roots of nonlinear equations
cites work: The Newton-Kantorovich Theorem
cites work: Recurrence relations for a Newton-like method in Banach spaces
cites work: The convergence of the perturbed Newton method and its application for ill-conditioned problems
cites work: Q3343091
cites work: Modified Chebyshev-Halley type method and its variants for computing multiple roots
cites work: The behavior of a multiplicity independent root-finding scheme in the presence of error
cites work: Q5732060
cites work: A method for computing a root of a single nonlinear equation, including its multiplicity
cites work: Multiple root-finding methods
cites work: A variant of Newton's method with accelerated third-order convergence
cites work: A convergence theorem for Newton-like methods in Banach spaces
cites work: Historical developments in convergence analysis for Newton's and Newton-like methods
cites work: Finding a Multiple Zero by Transformations and Newton-Like Methods
DOI: 10.1007/S40324-017-0114-4
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description: scientific article; zbMATH DE number 6859006