Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions

DOI10.1007/s12215-019-00460-xzbMath1461.65100OpenAlexW2980017866MaRDI QIDQ2657364

Shobha M. Erappa, Santhosh George, Ioannis K. Argyros

Publication date: 12 March 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00460-x

zbMATH Keywords

Banach spacesemi-local convergencehigh convergence order schemes

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• Unnamed Item
• Improved convergence analysis for Newton-like methods
• A new tool to study real dynamics: the convergence plane
• On a family of high-order iterative methods under Kantorovich conditions and some applications
• On iterative methods with accelerated convergence for solving systems of nonlinear equations
• The convergence of a Halley-Chebysheff-type method under Newton- Kantorovich hypotheses
• Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
• Computational theory of iterative methods.
• An adaptive version of a fourth-order iterative method for quadratic equations
• Third-order iterative methods under Kantorovich conditions
• Iterative Methods and Their Dynamics with Applications
• New Kantorovich-Type Conditions for Halley's Method
• Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method

This page was built for publication: Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions