Stability and Error Analysis for Optimization and Generalized Equations
DOI10.1137/19M1251424zbMath1470.90137arXiv1903.08754OpenAlexW3008105018MaRDI QIDQ5853718
Publication date: 11 March 2021
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.08754
stabilityoptimality conditionsperturbation analysisapproximation theoryHausdorff distancegeneralized equations
Sensitivity, stability, well-posedness (49K40) Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Optimality conditions for problems in abstract spaces (49K27)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fusion of hard and soft information in nonparametric density estimation
- Erratum to: ``Multivariate epi-splines and evolving function identification problems
- A study of tilt-stable optimality and sufficient conditions
- On metric and calmness qualification conditions in subdifferential calculus
- The topology of the \(\rho\)-Hausdorff distance
- Quantitative stability of variational systems. III: \(\varepsilon\)- approximate solutions
- Optimization. Algorithms and consistent approximations
- Error bounds in mathematical programming
- Approximations and solution estimates in optimization
- Convergence of convex sets and of solutions of variational inequalities
- Characterizations of Full Stability in Constrained Optimization
- Optimizing the US Navy's combat logistics force
- Isometries for the Legendre-Fenchel Transform
- Quantitative Stability of Variational Systems: I. The Epigraphical Distance
- The EPI-Distance Topology: Continuity and Stability Results with Applications to Convex Optimization Problems
- The semi-discretisation method and nonlinear time'dependent parabolic variational inequalities
- Variational Analysis
- A survey on error bounds for lower semicontinuous functions
- Composite Difference-Max Programs for Modern Statistical Estimation Problems
- Convex Optimization and the Epi-Distance Topology
- Variational Theory for Optimization under Stochastic Ambiguity
- Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning
- Partial Smoothness, Tilt Stability, and Generalized Hessians
- Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential
- Continuity of Some Convex-Cone-Valued Mappings
- Operations on convergent families of sets and functions