Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions

DOI10.22124/jmm.2020.17556.1513zbMath1499.65166OpenAlexW3126586092MaRDI QIDQ5025087

M. Argyros, Santhosh George, Gus Argyros, Ioannis K. Argyros

Publication date: 1 February 2022

Full work available at URL: https://doi.org/10.22124/jmm.2020.17556.1513

zbMATH Keywords

algorithmball of convergence\(omega\)-continuity

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to single equations (65H05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Extended comparison between two Newton–Jarratt sixth order schemes for nonlinear models under the same set of conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an efficient \(k\)-step iterative method for nonlinear equations
• Weaker conditions for the convergence of Newton's method
• A new decomposition method for solving system of nonlinear equations
• Third order iterative methods free from second derivative for nonlinear systems
• Variants of Newton's method for functions of several variables
• A note on the local convergence of iterative methods based on adomian decomposition method and 3-node quadrature rule
• Newton-like iterative methods for solving system of non-linear equations
• Third and fourth order iterative methods free from second derivative for nonlinear systems
• Solving frontier problems of physics: the decomposition method
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• Solution of a system of nonlinear equations by Adomian decomposition method.
• New iterative technique for solving a system of nonlinear equations
• A new iteration method for solving algebraic equations
• Adomian's decomposition method applied to systems of nonlinear algebraic equations
• Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
• Two-step Newton methods
• Iterative methods of order four and five for systems of nonlinear equations
• On the complexity of extending the convergence region for Traub's method
• Revised Adomian decomposition method for solving a system of nonlinear equations
• Variational iteration technique for solving a system of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• Single step formulas and multi-step formulas of the integration method for solving the initial value problem of ordinary differential equation
• A new family of iterative methods for solving system of nonlinear algebraic equations
• Computational theory of iterative methods.
• Extended Newton's method for a system of nonlinear equations by modified Adomian decomposition method
• Iterative Methods and Their Dynamics with Applications
• On two high‐order families of frozen Newton‐type methods

This page was built for publication: Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions