Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
From MaRDI portal
Publication:671171
DOI10.1016/J.AMC.2016.01.036zbMath1410.65223OpenAlexW2284828268MaRDI QIDQ671171
Sukhjit Singh, José L. Hueso, Dharmendra Kumar Gupta, Eulalia Martínez
Publication date: 20 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/84992
Banach spaceHammerstein integral equationnonlinear equationslocal convergencecomplex dynamicsLipschitz condition
Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (21)
Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition ⋮ Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces ⋮ On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces ⋮ Directional \(k\)-step Newton methods in \(n\) variables and its semilocal convergence analysis ⋮ Extending the applicability of a third-order scheme with Lipschitz and Hölder continuous derivative in Banach spaces ⋮ Extending the applicability of a Newton-Simpson-like method ⋮ Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations ⋮ Convergence of a Stirling-like method for fixed points in Banach spaces ⋮ A study of the local convergence of a fifth order iterative method ⋮ On the local convergence of modified Weerakoon's method in Banach spaces ⋮ Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces ⋮ On the local convergence of a third-order iterative scheme in Banach spaces ⋮ Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces ⋮ Local convergence of super Halley's method under weaker conditions on Fréchet derivative in Banach spaces ⋮ Local convergence of parameter based method with six and eighth order of convergence ⋮ Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces ⋮ Extended domain for fifth convergence order schemes ⋮ Unnamed Item ⋮ Ball Convergence of Modified Homeier-Like's Method in Banach Spaces under Weak Continuity Condition ⋮ On the convergence of harmonic mean Newton method under \(\omega\) continuity condition in Banach spaces ⋮ On the Local Convergence of a Sixth-Order Iterative Scheme in Banach Spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Semilocal convergence of a family of iterative methods in Banach spaces
- Third-order family of methods in Banach spaces
- Semilocal convergence of a sixth-order Jarratt method in Banach spaces
- Dynamics of a new family of iterative processes for quadratic polynomials
- Modified Jarratt method with sixth-order convergence
- A modification of Newton method with third-order convergence
- High order iterative methods without derivatives for solving nonlinear equations
- On the local convergence of a fifth-order iterative method in Banach spaces
- On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
- Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
- A modified Chebyshev's iterative method with at least sixth order of convergence
- Dynamics of a higher-order family of iterative methods
- On the semilocal convergence of efficient Chebyshev-secant-type methods
- Attracting cycles for the relaxed Newton's method
- Study of the dynamics of third-order iterative methods on quadratic polynomials
- Local convergence of modified Halley-like methods
- A variant of Newton's method with accelerated third-order convergence
- A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
This page was built for publication: Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
