On the relation between \(\mathcal U\)-Hessians and second-order epi-derivatives

DOI10.1016/j.ejor.2003.08.010zbMath1106.49026OpenAlexW1997817720MaRDI QIDQ1877017

Yanyan Li

Publication date: 16 August 2004

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2003.08.010

zbMATH Keywords

\(\mathcal U\)-HessiansEpigraphical and pointwise convergenceSecond-order epi-derivatives

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

Related Items (2)

Fast Moreau envelope computation I: Numerical algorithms ⋮ On partial smoothness, tilt stability and the \({\mathcal {VU}}\)-decomposition

Cites Work

• Proto-derivative formulas for basic subgradient mappings in mathematical programming
• On $\mathcalVU$-theory for Functions with Primal-Dual Gradient Structure
• First- and Second-Order Epi-Differentiability in Nonlinear Programming
• Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
• Practical Aspects of the Moreau--Yosida Regularization: Theoretical Preliminaries
• Variational Analysis
• Primal-Dual Gradient Structured Functions: Second-Order Results; Links to Epi-Derivatives and Partly Smooth Functions
• The 𝒰-Lagrangian of a convex function
• A second-order bundle method to minimize the maximum eigenvalue function.
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