On the characterizations of solutions to perturbed l1 conic optimization problem
From MaRDI portal
Publication:5384607
DOI10.1080/02331934.2019.1576668zbMath1415.90125OpenAlexW2911938649MaRDI QIDQ5384607
Yong-Jin Liu, Ruonan Li, Bo Wang
Publication date: 24 June 2019
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2019.1576668
strong regularityperturbation analysissecond order optimality conditionsisolated calmness\(l_1\) regularization
Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Statistics for high-dimensional data. Methods, theory and applications.
- Implicit functions and sensitivity of stationary points
- The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces
- The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
- Convergence of the augmented Lagrangian method for nonlinear optimization problems over second-order cones
- Properties of equation reformulation of the Karush-Kuhn-Tucker condition for nonlinear second order cone optimization problems
- How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
- Lipschitzian inverse functions, directional derivatives, and applications in \(C^{1,1}\) optimization
- Upper Lipschitz behavior of solutions to perturbed \(C^{1,1}\) programs
- On the upper Lipschitz property of the KKT mapping for nonlinear semidefinite optimization
- Implicit multifunction theorems for the sensitivity analysis of variational conditions
- Perturbation analysis of second-order cone programming problems
- Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization
- Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
- On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs
- Newton's Method for B-Differentiable Equations
- Local structure of feasible sets in nonlinear programming, part II: Nondegeneracy
- Optimization and nonsmooth analysis
- Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
- Strongly Regular Generalized Equations
- Generalized equations and their solutions, part II: Applications to nonlinear programming
- An Implicit-Function Theorem for a Class of Nonsmooth Functions
- Variational Analysis
- GESPAR: Efficient Phase Retrieval of Sparse Signals
- DOLPHIn—Dictionary Learning for Phase Retrieval
- Undersampled Sparse Phase Retrieval via Majorization–Minimization
- Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
- Linear Rate Convergence of the Alternating Direction Method of Multipliers for Convex Composite Programming
- Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs
- Erratum: On The Aubin Property of Critical Points to Perturbed Second-Order Cone Programs
- The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
- Convex Analysis
- Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems
- Compressed sensing