On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory

DOI10.1016/j.aml.2020.106277zbMath1439.65068OpenAlexW3005998369MaRDI QIDQ2176502

Francisco I. Chicharro, Neus Garrido, Juan Ramón Torregrosa Sánchez, Alicia Cordero

Publication date: 4 May 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106277

zbMATH Keywords

nonlinear systemsiterative methodsdivided difference operatorKurchatov divided difference

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (5)

Design of iterative methods with memory for solving nonlinear systems ⋮ An adaptive Steffensen-like families for solving nonlinear systems using frozen divided differences ⋮ Simultaneous roots for vectorial problems ⋮ Isonormal surfaces: A new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems ⋮ CMMSE: a novel scheme having seventh-order convergence for nonlinear systems

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• General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• A modified Newton-Jarratt's composition
• On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations

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