Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations

DOI10.1080/00207160.2017.1298747zbMath1499.65192OpenAlexW2601123620MaRDI QIDQ5026489

Himani Arora, Janak Raj Sharma

Publication date: 8 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1298747

zbMATH Keywords

systems of nonlinear equationscomputational efficiencyorder of convergencederivative-free methodsTraub-Steffensen method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (6)

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 ⋮ Higher order Traub-Steffensen type methods and their convergence analysis in Banach spaces ⋮ Improving the order of a fifth-order family of vectorial fixed point schemes by introducing memory ⋮ General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations ⋮ Stability and applicability of iterative methods with memory

Uses Software

• MPFR
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Cites Work

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• Frozen divided difference scheme for solving systems of nonlinear equations
• A family of Steffensen type methods with seventh-order convergence
• Convergence and Applications of Newton-type Iterations
• MPFR
• A family of two-point methods with memory for solving nonlinear equations
• An efficient derivative free iterative method for solving systems of nonlinear equations
• A note on \(Q\)-order of convergence

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