Improving the applicability of the secant method to solve nonlinear systems of equations

DOI10.1016/J.AMC.2014.09.066zbMath1338.65136OpenAlexW2076841173MaRDI QIDQ297813

M. J. Rubio, Miguel Ángel Hernández-Verón, Sergio Amat

Publication date: 17 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.066

zbMATH Keywords

recurrence relationssecant methoda priori error boundsiterative processesLorenz oscillatorMoser strategy

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Applications of difference equations (39A60)

Related Items (6)

Improved semilocal convergence analysis in Banach space with applications to chemistry ⋮ On a Moser-Steffensen type method for nonlinear systems of equations ⋮ On an Inverse Free Steffensen-Type Method for the Approximation of Stiff Differential Equations ⋮ Extending the convergence domain of the secant and Moser method in Banach space ⋮ Expanding the applicability of the secant method under weaker conditions ⋮ Improved convergence analysis of the Secant method using restricted convergence domains with real-world applications

Cites Work

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• An error analysis for the secant method
• On a Newton-Moser type method
• On a higher order secant method.
• The Lorenz equations: bifurcations, chaos, and strange attractors
• The secant method for nondifferentiable operators
• Deterministic Nonperiodic Flow
• A new type of recurrence relations for the secant method^∗
• A Unified Convergence Theory for a Class of Iterative Processes

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