First-order and second-order epsilon-directional derivatives of a marginal function in convex programming with linear inequality constraints

DOI10.1007/BF00940934zbMath0683.90059MaRDI QIDQ1825133

Yanyan Li

Publication date: 1990

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

linear inequality constraintsmarginal functionepsilon-directional derivatives

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Duality theory (optimization) (49N15)

Cites Work

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• Approximate first-order and second-order directional derivatives of a marginal function in convex optimization
• Calculus Rules on the Approximate Second-Order Directional Derivative of a Convex Function
• Limiting behaviour of the approximate first order and second order directional derivatives for a convex function
• Directional differentiability of the optimal value function in a nonlinear programming problem
• Second order sensitivity analysis and asymptotic theory of parametrized nonlinear programs
• Lipschitz $r$-continuity of the approximative subdifferential of a convex function.
• Differential properties of the marginal function in mathematical programming
• On the differential properties of the support function of the∈-subdifferential of a convex function
• Approximating a Second-Order Directional Derivative for Nonsmooth Convex Functions
• Convex Analysis