scientific article; zbMATH DE number 7633966

MaRDI QIDQ5057778

Gagandeep, Rajni Sharma, Ioannis K. Argyros

Publication date: 19 December 2022

Full work available at URL: http://bmathaa.org/repository/docs/BMAA13-1-2.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Banach spacesiterative methodssemilocal convergencerecurrence relationsnonlinear equationslocal convergencebasins of attractionconvergence domain

Mathematics Subject Classification ID

Newton-type methods (49M15) Normed linear spaces and Banach spaces; Banach lattices (46B99) Iterative procedures involving nonlinear operators (47J25) Numerical approximation and computational geometry (primarily algorithms) (65D99) Error analysis and interval analysis (65G99)

Related Items

A study of the local convergence of a derivative free method in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
• Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
• A new tool to study real dynamics: the convergence plane
• An efficient fifth order method for solving systems of nonlinear equations
• Semilocal convergence analysis of an iteration of order five using recurrence relations in Banach spaces
• Semilocal convergence for a fifth-order Newton's method using recurrence relations in Banach spaces
• Recurrence relations for semilocal convergence of a fifth-order method in Banach spaces
• Semilocal convergence of a family of iterative methods in Banach spaces
• Third-order family of methods in Banach spaces
• Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations
• Recurrence relations for rational cubic methods. II: The Chebyshev method
• On the local convergence of a fifth-order iterative method in Banach spaces
• Recurrence relations for rational cubic methods. I: The Halley method
• Recurrence relations for the super-Halley method
• Reduced recurrence relations for the Chebyshev method
• Third-order iterative methods for operators with bounded second derivative
• Relaxing convergence conditions for an inverse-free Jarratt-type approximation
• Second-derivative-free variant of the Chebyshev method for nonlinear equations
• On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
• Recurrence relations for Chebyshev-type methods
• A modification of the super-Halley method under mild differentiability conditions
• Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
• Recurrence relations for a Newton-like method in Banach spaces
• A modified Chebyshev's iterative method with at least sixth order of convergence
• Semilocal convergence of a multipoint fourth-order super-Halley method in Banach spaces
• 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
• Third-order convergence theorem by using majorizing function for a modified Newton method in Banach space
• Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
• Local convergence for a Chebyshev-type method in Banach space free of derivatives
• Chebyshev's approximation algorithms and applications
• A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative