Expanding the applicability of high-order Traub-type iterative procedures

DOI10.1007/S10957-013-0440-3zbMath1308.65082OpenAlexW1994736928MaRDI QIDQ398650

Saïd Hilout, Sergio Amat, Ioannis K. Argyros, Sonia Busquier

Publication date: 15 August 2014

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-013-0440-3

zbMATH Keywords

convergenceNewton's methoditerative schemesemilocal convergenceBanach spacenonlinear operator equationsmajorizing sequencehigh-order iterative procedures

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Traub-type high order iterative procedures on Riemannian manifolds

Uses Software

• NewtonLib

Cites Work

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• Computational Methods in Nonlinear Analysis
• An improvement of the region of accessibility of Chebyshev’s method from Newton’s method
• On a class of modified newton processes
• A Unified Convergence Theory for a Class of Iterative Processes

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