On convergence properties of the modified trust region method under Hölderian error bound condition

DOI10.3934/jimo.2021222OpenAlexW4205456626MaRDI QIDQ2691221

Jirui Ma, Jin Yan Fan

Publication date: 29 March 2023

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2021222

zbMATH Keywords

nonlinear equationsconvergence orderHölderian continuityHölderian error boundmodified trust region method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10)

Cites Work

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• Solving Nonlinear Equations with Newton's Method
• Convergence rate of the Levenberg-Marquardt method under Hölderian local error bound
• A method for the solution of certain non-linear problems in least squares

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