Unified convergence analysis of frozen Newton-like methods under generalized conditions

DOI10.1016/j.cam.2018.08.010zbMath1403.65023OpenAlexW2886900633WikidataQ129358788 ScholiaQ129358788MaRDI QIDQ1631421

Ioannis K. Argyros, Santhosh George

Publication date: 6 December 2018

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.2018.08.010

zbMATH Keywords

Banach spacegeneralized Lipschitz conditionsfrozen Newton-like methodlocal and semi-local convergence

Mathematics Subject Classification ID

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

Related Items (4)

Convergence analysis of an optimally accurate frozen multi-level projected steepest descent iteration for solving inverse problems ⋮ Unnamed Item ⋮ Improved local convergence analysis of the Landweber iteration in Banach spaces ⋮ Convergence analysis of iteratively regularized Gauss-Newton method with frozen derivative in Banach spaces

Cites Work

• Unnamed Item
• Weaker conditions for the convergence of Newton's method
• On a Newton-Moser type method
• A uniparametric family of iterative processes for solving nondifferentiable equations
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications
• Solving a special case of conservative problems by secant-like methods
• Iterative Methods and Their Dynamics with Applications
• On two high‐order families of frozen Newton‐type methods
• Newton’s Method: an Updated Approach of Kantorovich’s Theory

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