Extending the convergence domain of the secant and Moser method in Banach space

DOI10.1016/j.cam.2015.05.005zbMath1330.65081OpenAlexW254804900MaRDI QIDQ492062

Ioannis K. Argyros, Ángel Alberto Magreñán

Publication date: 19 August 2015

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.2015.05.005

zbMATH Keywords

Newton's methodsemilocal convergenceBanach spacesecant methodrecurrent relationsMoser method

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Different anomalies in a Jarratt family of iterative root-finding methods
• Improving the applicability of the secant method to solve nonlinear systems of equations
• A new tool to study real dynamics: the convergence plane
• An error analysis for the secant method
• On a Newton-Moser type method
• On a higher order secant method.
• The secant method for nondifferentiable operators
• Computational theory of iterative methods.
• A semilocal convergence for a uniparametric family of efficient secant-like methods
• Approximation of inverse operators by a new family of high-order iterative methods
• A new type of recurrence relations for the secant method^∗
• EXPANDING THE APPLICABILITY OF SECANT METHOD WITH APPLICATIONS

This page was built for publication: Extending the convergence domain of the secant and Moser method in Banach space