Criticality of Lagrange Multipliers in Variational Systems

DOI10.1137/18M1206862zbMath1421.90144arXiv1808.03802OpenAlexW2963764616MaRDI QIDQ5231675

Ebrahim Sarabi, Boris S. Mordukhovich

Publication date: 27 August 2019

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03802

zbMATH Keywords

error boundscalmnessoptimization and variational analysiscritical and noncritical multipliersgeneralized KKT systemssecond-order generalized differentiation

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items

Variational Analysis of Composite Models with Applications to Continuous Optimization, Superlinear convergence of the sequential quadratic method in constrained optimization, Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers, Critical Multipliers in Semidefinite Programming, Covering on a Convex Set in the Absence of Robinson's Regularity, Criticality of Lagrange multipliers in extended nonlinear optimization, Augmented Lagrangian method for second-order cone programs under second-order sufficiency, Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization

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