On the local convergence of a Newton-Kurchatov-type method for non-differentiable operators

DOI10.1016/j.amc.2017.01.010zbMath1411.65079OpenAlexW2584633308MaRDI QIDQ1735396

M. J. Rubio, Miguel Ángel Hernández-Verón

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.010

zbMATH Keywords

local convergenceKurchatov methodnon-differentiable operator

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition ⋮ Convergence analysis of the Gauss-Newton-Potra method for nonlinear least squares problems ⋮ Extending the applicability of a Newton-Simpson-like method ⋮ Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces ⋮ Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces

Cites Work

• Local convergence of efficient secant-type methods for solving nonlinear equations
• On an improved local convergence analysis for the Secant method
• New approach for numerical solution of Hammerstein integral equations
• Homocentric convergence ball of the secant method
• A uniparametric family of iterative processes for solving nondifferentiable equations
• On the Newton-Kantorovich hypothesis for solving equations
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Convergence analysis of the secant type methods
• The convergence ball of the secant method under Hölder continuous divided differences
• On the local convergence of secant-type methods
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