Parametric analysis of semidefinite optimization
From MaRDI portal
Publication:5207741
DOI10.1080/02331934.2019.1671382zbMath1434.90218arXiv1808.00587OpenAlexW2983117714MaRDI QIDQ5207741
Tamás Terlaky, Ali Mohammad Nezhad
Publication date: 13 January 2020
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00587
optimal partitionmaximally complementary solutionnonlinearity intervalparametric semidefinite optimization
Semidefinite programming (90C22) Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Interior-point methods (90C51)
Related Items
Two optimal value functions in parametric conic linear programming, On the sensitivity of the optimal partition for parametric second-order conic optimization, Perturbation analysis of singular semidefinite programs and its applications to control problems, On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving semidefinite-quadratic-linear programs using SDPT3
- Unifying optimal partition approach to sensitivity analysis in conic optimization
- Introduction to sensitivity and stability analysis in nonlinear programming
- The algebraic degree of semidefinite programming
- A geometric view of parametric linear programming
- On parametric semidefinite programming
- The use of the optimal partition in a linear programming solution for postoptimal analysis
- Complementarity and nondegeneracy in semidefinite programming
- First and second order analysis of nonlinear semidefinite programs
- Conditioning of semidefinite programs
- Aspects of semidefinite programming. Interior point algorithms and selected applications
- Perturbation analysis of singular semidefinite programs and its applications to control problems
- On the local stability of semidefinite relaxations
- The geometry of SDP-exactness in quadratic optimization
- A rounding procedure for semidefinite optimization
- Condition-Measure Bounds on the Behavior of the Central Trajectory of a Semidefinite Program
- Implicit Functions and Solution Mappings
- Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
- Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results
- Superlinear Convergence of a Symmetric Primal-Dual Path Following Algorithm for Semidefinite Programming
- SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Point-to-Set Maps in Mathematical Programming
- On sensitivity of central solutions in semidefinite programming
- Sensitivity analysis in linear programming and semidefinite programming using interior-point methods