Improving the order of a fifth-order family of vectorial fixed point schemes by introducing memory

DOI10.24193/fpt-ro.2023.1.07OpenAlexW4365396289MaRDI QIDQ6193821

Neus Garrido, Alicia Cordero, Juan Ramón Torregrosa Sánchez, Paula Triguero-Navarro

Publication date: 19 March 2024

Published in: Fixed Point Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24193/fpt-ro.2023.1.07

zbMATH Keywords

nonlinear systemiterative schemefixed point methodsdynamical planesmethods with memory

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Acceleration of convergence in numerical analysis (65B99)

Cites Work

• On locating all roots of systems of nonlinear equations inside bounded domain using global optimization methods
• General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations
• Stability and applicability of iterative methods with memory
• A new high-order and efficient family of iterative techniques for nonlinear models
• Variants of Newton's method using fifth-order quadrature formulas
• Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations
• On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations
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