Second-order variational analysis in second-order cone programming
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Publication:2297642
DOI10.1007/s10107-018-1345-6zbMath1440.90079arXiv1707.07766OpenAlexW2899082206WikidataQ128976914 ScholiaQ128976914MaRDI QIDQ2297642
Nguyen T. V. Hang, M. Ebrahim Sarabi, Boris S. Mordukhovich
Publication date: 20 February 2020
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.07766
error boundsisolated calmnesssecond-order variational analysisgraphical derivativetwice epi-differentiabilitynonpolyhedral systemssecond-order conic programs
Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
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Cites Work
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- Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity. With applications to optimization with semidefinite and second-order-cone complementarity constraints
- On the Aubin property of a class of parameterized variational systems
- Graphical derivatives and stability analysis for parameterized equilibria with conic constraints
- On metric and calmness qualification conditions in subdifferential calculus
- On the coderivative of the projection operator onto the second-order cone
- Second-order cone programming
- Critical multipliers in variational systems via second-order generalized differentiation
- Strong conical hull intersection property, bounded linear regularity, Jameson's property \((G)\), and error bounds in convex optimization
- Perturbation analysis of second-order cone programming problems
- Calmness of constraint systems with applications
- On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
- Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability
- Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
- Computation of Graphical Derivative for a Class of Normal Cone Mappings under a Very Weak Condition
- On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs
- Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions
- First- and Second-Order Epi-Differentiability in Nonlinear Programming
- Some continuity properties of polyhedral multifunctions
- Generalized Second-Order Derivatives of Convex Functions in Reflexive Banach Spaces
- Variational Analysis
- On the Calmness of a Class of Multifunctions
- Sensitivity of Solutions to Variational Inequalities on Banach Spaces
- Full Stability of Locally Optimal Solutions in Second-Order Cone Programs
- Newton-Type Methods for Optimization and Variational Problems
- Implicit Functions and Solution Mappings
- Convex Analysis
- Robinson Stability of Parametric Constraint Systems via Variational Analysis
- New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis