Chebyshev-Halley methods for analytic functions

DOI10.1016/j.cam.2007.06.020zbMath1146.65043OpenAlexW1966457467MaRDI QIDQ929962

Naoki Osada

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.06.020

zbMATH Keywords

analytic functionmultiple zero

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items

A general approach to the study of the convergence of Picard iteration with an application to Halley's method for multiple zeros of analytic functions, On Newton-type methods for multiple roots with cubic convergence, Derivative free algorithm for solving nonlinear equations, Dynamics of a family of Chebyshev-Halley type methods, Constructing third-order derivative-free iterative methods, Some variants of the Chebyshev–Halley family of methods with fifth order of convergence, On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros, On an application of symbolic computation and computer graphics to root-finders: the case of multiple roots of unknown multiplicity, PSEM approximations for both branches of Lambert \(W\) function with applications

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