Expanding the applicability of the secant method under weaker conditions
From MaRDI portal
Publication:669444
DOI10.1016/J.AMC.2015.06.037zbMath1410.65181OpenAlexW839727190MaRDI QIDQ669444
Ioannis K. Argyros, Ángel Alberto Magreñán
Publication date: 15 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.2015.06.037
semilocal convergenceBanach spacelocal convergencesecant methoddivided differencemajorizing sequence
Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (2)
Influence of the center condition on the two-step secant method ⋮ Improved convergence analysis of the Secant method using restricted convergence domains with real-world applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Improving the applicability of the secant method to solve nonlinear systems of equations
- A new tool to study real dynamics: the convergence plane
- Weaker conditions for the convergence of Newton's method
- General local convergence theory for a class of iterative processes and its applications to Newton's method
- A convergence theorem for Newton-like methods in Banach spaces
- Untere Fehlerschranken für Regula-Falsi-Verfahren
- On a higher order secant method.
- Secant-like methods for solving nonlinear integral equations of the Hammerstein type
- Computational theory of iterative methods.
- A semilocal convergence for a uniparametric family of efficient secant-like methods
- The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
- Adaptive Approximation of Nonlinear Operators
- Optimal Error Bounds for the Newton–Kantorovich Theorem
- The inexact, inexact perturbed, and quasi-Newton methods are equivalent models
- EXPANDING THE APPLICABILITY OF SECANT METHOD WITH APPLICATIONS
This page was built for publication: Expanding the applicability of the secant method under weaker conditions