Tight computationally efficient approximation of matrix norms with applications
From MaRDI portal
Publication:6114892
DOI10.5802/ojmo.19arXiv2110.04389OpenAlexW3207033882MaRDI QIDQ6114892
Arkadi Nemirovski, Georgios Kotsalis, Anatoli B. Juditsky
Publication date: 12 July 2023
Published in: OJMO. Open Journal of Mathematical Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.04389
Convex programming (90C25) System identification (93B30) Design techniques (robust design, computer-aided design, etc.) (93B51) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)
Cites Work
- Ellipsoid-based parametric estimation in the linear multidimensional systems with uncertain model description
- Comparison of peak and RMS gains for discrete-time systems
- The identification problem -- Theory of guaranteed estimates
- On computing the worst-case peak gain of linear systems
- Feasible parameter set for linear models with bounded errors in all variables
- Ellipsoidal calculus for estimation and control
- A linear matrix inequality approach to synthesizing low-order suboptimal mixed \(\ell_1/{\mathcal H}_p\) controllers
- Near-optimality of linear recovery from indirect observations
- On maximization of quadratic form over intersection of ellipsoids with common center
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- System identification. A survey
- Lectures on Modern Convex Optimization
- On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty
- Feasible Parameter Set Approximation for Linear Models with Bounded Uncertain Regressors
- Bounds on Solutions of Linear Systems with Inaccurate Data
- Interval Methods for Systems of Equations
- Minimization of the maximum peak-to-peak gain: the general multiblock problem
- Semidefinite relaxation and nonconvex quadratic optimization
- Accuracy and Stability of Numerical Algorithms
- Near-optimal recovery of linear and N-convex functions on unions of convex sets
- Convex Optimization for Finite-Horizon Robust Covariance Control of Linear Stochastic Systems
- An Introduction to Matrix Concentration Inequalities
- A linear matrix inequality approach to peak-to-peak gain minimization
- Interval parameter estimation under model uncertainty
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
