Generalized gradients and paths of descent

DOI10.1080/02331938608843117zbMath0591.49025OpenAlexW2084426664MaRDI QIDQ3719365

Jay S. Treiman

Publication date: 1986

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938608843117

zbMATH Keywords

Clarke's tangent conegeneralized gradientsdescent directionsLipschitz paths

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Methods involving semicontinuity and convergence; relaxation (49J45) Continuity and differentiation questions (26B05) Optimality conditions for free problems in two or more independent variables (49K10)

Cites Work

• Unnamed Item
• Generalized gradients of Lipschitz functionals
• Characterization of Clarke's tangent and normal cones in finite and infinite dimensions
• Optimization and nonsmooth analysis
• Clarke's tangent cones and the boundaries of closed sets in Rn
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• The Erdmann Condition and Hamiltonian Inclusions in Optimal Control and the Calculus of Variations
• Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
• Optimization of lipschitz continuous functions
• An Algorithm for Constrained Optimization with Semismooth Functions
• A New Approach to Lagrange Multipliers
• Directionally Lipschitzian Functions and Subdifferential Calculus

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