Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations

DOI10.1016/j.amc.2017.07.012zbMath1426.65071OpenAlexW2742782193MaRDI QIDQ1740094

F. Khaksar Haghani, Fayyaz Ahmad, Stefano Serra Capizzano, Fazlollah Soleymani

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.012

zbMATH Keywords

system of nonlinear equationsFréchetdivided difference operatorwith memorydiscretization of differential equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20)

Related Items (8)

Local convergence of a seventh order derivative-free method for solving nonlinear equations in Banach spaces ⋮ New techniques to develop higher order iterative methods for systems of nonlinear equations ⋮ Optimal choice of parameters in higher-order derivative-free iterative methods for systems of nonlinear equations ⋮ An efficient family of two-step with-memory methods with convergence order 6 and their dynamics ⋮ A fractional Traub-Steffensen-type method for solving nonlinear equations ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations ⋮ A Legendre-based computational method for solving a class of Itô stochastic delay differential equations

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations
• An efficient derivative free family of fourth order methods for solving systems of nonlinear equations
• Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
• Efficient derivative-free numerical methods for solving systems of nonlinear equations
• On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
• Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs
• Note on the efficiency of some iterative methods for solving nonlinear equations
• Seventh-order derivative-free iterative method for solving nonlinear systems
• Computing outer inverses by scaled matrix iterations
• On the construction of some tri-parametric iterative methods with memory
• On locating all roots of systems of nonlinear equations inside bounded domain using global optimization methods
• Broyden updating, the good and the bad!
• On a new method for computing the numerical solution of systems of nonlinear equations
• Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs
• A multi-step class of iterative methods for nonlinear systems
• Iterative methods for nonlinear systems associated with finite difference approach in stochastic differential equations

This page was built for publication: Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations