Tilt stability for quadratic programs with one or two quadratic inequality constraints
DOI10.1007/s40306-020-00372-4zbMath1453.90111OpenAlexW3036464408MaRDI QIDQ778159
Le Van Hien, Nguyen Thi Quynh Trang, Nguyen Huy Chieu
Publication date: 1 July 2020
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40306-020-00372-4
quadratic programtilt stabilitymetric subregularity constraint qualificationquadratic inequality constraintstrong second-order sufficient condition
Quadratic programming (90C20) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local nonglobal minima for solving large-scale extended trust-region subproblems
- A study of tilt-stable optimality and sufficient conditions
- On a subproblem of trust region algorithms for constrained optimization
- On affine scaling algorithms for nonconvex quadratic programming
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Quadratic programming and affine variational inequalities. A qualitative study.
- Coderivatives related to parametric extended trust region subproblem and their applications
- Narrowing the difficulty gap for the Celis-Dennis-Tapia problem
- On the complexity of quadratic programming with two quadratic constraints
- Generalized S-lemma and strong duality in nonconvex quadratic programming
- Second-order characterizations of tilt stability with applications to nonlinear programming
- A New Matrix-Free Algorithm for the Large-Scale Trust-Region Subproblem
- A Note on Polynomial Solvability of the CDT Problem
- Solving Generalized CDT Problems via Two-Parameter Eigenvalues
- Computation of Graphical Derivative for a Class of Normal Cone Mappings under a Very Weak Condition
- Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions
- Strong Duality for the CDT Subproblem: A Necessary and Sufficient Condition
- Local Minimizers of Quadratic Functions on Euclidean Balls and Spheres
- Variational Analysis
- Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints
- Tilt Stability of a Local Minimum
- A D.C. Optimization Algorithm for Solving the Trust-Region Subproblem
- New Results on Quadratic Minimization
- Trust Region Methods
- Globally Solving the Trust Region Subproblem Using Simple First-Order Methods
- Characterization of Tilt Stability via Subgradient Graphical Derivative with Applications to Nonlinear Programming
- The trust region subproblem and semidefinite programming*
- Solving the Trust-Region Subproblem using the Lanczos Method
- Stability of Linear-Quadratic Minimization over Euclidean Balls
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- Stability of Locally Optimal Solutions
- Partial Smoothness, Tilt Stability, and Generalized Hessians
- Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential
- Convex analysis and global optimization
This page was built for publication: Tilt stability for quadratic programs with one or two quadratic inequality constraints