Solving a system of nonlinear equations with the use of optimization methods in problems related to the wheel-rail contact

DOI10.17512/JAMCM.2016.2.06OpenAlexW2461586487MaRDI QIDQ2201262

Sławomir Duda, Mariola Jureczko

Publication date: 28 September 2020

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2016.2.06

zbMATH Keywords

Newton's methodsystem of nonlinear equationstrust region methodLevenberg-Marquardt methodwheel-rail contactdamped Newton's method

Mathematics Subject Classification ID

Newton-type methods (49M15) Systems of nonlinear higher-order PDEs (35G50)

Uses Software

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Cites Work

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• A family of multi-point iterative methods for solving systems of nonlinear equations
• A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
• Recent advances in trust region algorithms
• Applied Numerical Methods Using MATLAB®

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