On the global convergence of Chebyshev's iterative method

DOI10.1016/j.cam.2007.07.022zbMath1149.65035OpenAlexW2035611016MaRDI QIDQ939503

Sonia Busquier, Sergio Amat, Miguel A. Hernández, José Manuel Gutiérrez Jimenez

Publication date: 22 August 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.2007.07.022

zbMATH Keywords

numerical exampleglobal convergenceiterative methodsnonlinear equationsEuler's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (11)

Global convergence and the Powell singular function ⋮ On the convergence of Newton-like methods using restricted domains ⋮ After notes on Chebyshev’s iterative method ⋮ Extending the applicability of secant methods and nondiscrete induction ⋮ A new class of Halley's method with third-order convergence for solving nonlinear equations ⋮ Kantorovich-Like Convergence Theorems for Newton’s Method Using Restricted Convergence Domains ⋮ New conditions for the convergence of Newton-like methods and applications ⋮ Convergence analysis of the modified Chebyshev's method for finding multiple roots ⋮ Extending the applicability of Newton’s method using nondiscrete induction ⋮ A NOTE ON THE SEMILOCAL CONVERGENCE OF CHEBYSHEV’S METHOD ⋮ Zero-finder methods derived from Obreshkov's techniques

Cites Work

• Unnamed Item
• Chebyshev method and convexity
• Geometric constructions of iterative functions to solve nonlinear equations
• A family of chebyshev-halley type methods
• Classroom Note:Geometry and Convergence of Euler's and Halley's Methods
• On the Geometry of Halley's Method

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