Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming
From MaRDI portal
Publication:5206940
DOI10.1137/18M1213117zbMath1434.90191arXiv1809.03607OpenAlexW2996296375WikidataQ126577956 ScholiaQ126577956MaRDI QIDQ5206940
Helmut Gfrerer, Boris S. Mordukhovich, Matúš Benko
Publication date: 19 December 2019
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.03607
second-order cone programmingmetric subregularitysecond-order variational analysistilt stabilitynormal cone mappingsgraphical derivatives\(C^2\)-cone reducibility
Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
Related Items
Second-order optimality conditions for constrained optimization problems with \(C^1\) data via regular and limiting subdifferentials, Variational Convexity of Functions and Variational Sufficiency in Optimization, Sufficient conditions for metric subregularity of constraint systems with applications to disjunctive and ortho-disjunctive programs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces
- First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints
- 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
- Second-order variational analysis in second-order cone programming
- Second-order characterizations of tilt stability with applications to nonlinear programming
- Extension of Newton's method to nonlinear functions with values in a cone
- Perturbation analysis of second-order cone programming problems
- Calmness of constraint systems with applications
- On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
- On Lipschitzian Properties of Implicit Multifunctions
- Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability
- Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
- Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions
- Necessary and sufficient conditions for optimality of p-th order
- Extremum conditions for smooth problems with equality-type constraints
- Strongly Regular Generalized Equations
- Variational Analysis
- Tilt Stability of a Local Minimum
- Variational Analysis and Applications
- Characterization of Tilt Stability via Subgradient Graphical Derivative with Applications to Nonlinear Programming
- Second-Order Variational Analysis of Parametric Constraint and Variational Systems
- On the Calmness of a Class of Multifunctions
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- Second-order growth, tilt stability, and metric regularity of the subdifferential
- Full Stability in Finite-Dimensional Optimization
- Full Stability of Locally Optimal Solutions in Second-Order Cone Programs
- Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential
- Numerical optimization. Theoretical and practical aspects. Transl. from the French
