On the local and semilocal convergence of a parameterized multi-step Newton method

DOI10.1016/j.cam.2020.112843zbMath1437.65040OpenAlexW3013295055MaRDI QIDQ1987448

Ioannis K. Argyros, Sonia Busquier, Sergio Amat, Miguel Ángel Hernández-Verón, Dionisio F. Yáñez

Publication date: 15 April 2020

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.2020.112843

zbMATH Keywords

semilocal convergencelocal convergenceiterative processesmulti-step Newton method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical computation of solutions to single equations (65H05)

Related Items (1)

Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations

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• Nonlinear total variation based noise removal algorithms
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• Evaluation of Chebyshev pseudospectral methods for third order differential equations
• Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications
• A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration

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