Semidefinite Representations of Gauge Functions for Structured Low-Rank Matrix Decomposition

DOI10.1137/16M1071730zbMath1373.90095arXiv1604.02500OpenAlexW2963173268MaRDI QIDQ4976156

Lieven Vandenberghe, Hsiao-Han Chao

Publication date: 27 July 2017

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02500

zbMATH Keywords

semidefinite programmingKalman-Yakubovich-Popov lemmamatrix pencilsatomic norm

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25) System identification (93B30) Eigenvalue problems (93B60)

Uses Software

• CVX

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact reconstruction using Beurling minimal extrapolation
• Calculation of Gauss quadratures with multiple free and fixed knots
• The computation of Kronecker's canonical form of a singular pencil
• Absolute stability of nonlinear systems of automatic control
• On the Kalman-Yakubovich-Popov lemma
• The convex geometry of linear inverse problems
• LMI relaxations in robust control
• Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions
• Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• Optimization Problems over Positive Pseudopolynomial Matrices
• Atomic Norm Denoising With Applications to Line Spectral Estimation
• Spectral Super-Resolution With Prior Knowledge
• Super-resolution of point sources via convex programming
• Off-the-Grid Line Spectrum Denoising and Estimation With Multiple Measurement Vectors
• Exact Joint Sparse Frequency Recovery via Optimization Methods
• Gauge Optimization and Duality
• Sampling method for semidefinite programmes with non-negative Popov function constraints
• Semidefinite programming duality and linear time-invariant systems
• Generalized KYP lemma: unified frequency domain inequalities with design applications
• Compressed Sensing Off the Grid
• Generalized KYP Lemma With Real Data
• Towards a Mathematical Theory of Super‐resolution
• Discrete Transforms, Semidefinite Programming, and Sum-of-Squares Representations of Nonnegative Polynomials
• Convex Analysis
• Generalized \(S\)-procedure and finite frequency KYP lemma