Directional derivatives of optimal solutions in smooth nonlinear programming

DOI10.1007/BF00940076zbMath0792.90064OpenAlexW2126692972MaRDI QIDQ1321159

Joseph Frédéric Bonnans

Publication date: 25 July 1994

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

Full work available at URL: https://doi.org/10.1007/bf00940076

zbMATH Keywords

sensitivitystabilityperturbationscalmnesssecond-order sufficiency conditionssmooth nonlinear program

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52)

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Cites Work

• Introduction to sensitivity and stability analysis in nonlinear programming
• A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem
• Directional Lipschitzian optimal solutions and directional derivative for the optimal value function in nonlinear mathematical programming
• Perturbation theory for abstract optimization problems
• On the stability of sets defined by a finite number of equalities and inequalities
• Directional derivative of the value function in parametric optimization
• The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
• On The Marginal Function in Nonlinear Programming
• First and second order sensitivity analysis of nonlinear programs under directional constraint qualification conditions
• On uniqueness of Kuhn-Tucker multipliers in nonlinear programming
• Solution point differentiability without strict complementarity in nonlinear programming
• Sensitivity Analysis of Nonlinear Programs and Differentiability Properties of Metric Projections
• Directional Behaviour of Optimal Solutions in Nonlinear Mathematical Programming
• Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• A New Approach to Lagrange Multipliers
• Convex Analysis