Sufficient conditions for error distance reduction in the \(\ell^2\)-norm trust region between minimizers of local nonconvex multivariate quadratic approximates

DOI10.1016/J.CAM.2024.116146zbMATH Open1545.65255MaRDI QIDQ6591535

Pengcheng Xie

Publication date: 22 August 2024

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

zbMATH Keywords

trust-regionquadraticdistance reduction

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56)

Cites Work

• On trust region methods for unconstrained minimization without derivatives
• Recent advances in trust region algorithms
• Introduction to Derivative-Free Optimization
• Trust Region Methods
• Maximization by Quadratic Hill-Climbing
• A derivative-free optimization algorithm combining line-search and trust-region techniques

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