On the stability of solutions in honlinear programming

DOI10.1080/02331939008843557zbMath0722.90076OpenAlexW2075440592MaRDI QIDQ3211134

Joseph Frédéric Bonnans

Publication date: 1990

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939008843557

zbMATH Keywords

sensitivity analysisstability of solutionsMangasarian-Fromovitz condition

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31)

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Cites Work

• Second-order and related extremality conditions in nonlinear programming
• Lipschitz properties of solutions in mathematical programming
• A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem
• Solution point differentiability without strict complementarity in nonlinear programming
• Stability Theory for Systems of Inequalities. Part I: Linear Systems
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming
• Sensitivity analysis for nonlinear programming using penalty methods