A generalized Lieb's theorem and its applications to spectrum estimates for a sum of random matrices
DOI10.1016/j.laa.2019.06.013zbMath1419.15006arXiv1808.05550OpenAlexW2902835289WikidataQ127660960 ScholiaQ127660960MaRDI QIDQ2272497
Publication date: 10 September 2019
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.05550
random matricesexterior algebratrace inequalitymixed discriminantsspectrum estimatesconcavity of matrix functions
Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Random matrices (algebraic aspects) (15B52) Exterior algebra, Grassmann algebras (15A75) Matrix exponential and similar functions of matrices (15A16)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral clustering and the high-dimensional stochastic blockmodel
- User-friendly tail bounds for sums of random matrices
- Mixed discriminants of positive semidefinite matrices
- The solution of van der Waerden's problem for permanents
- The simplest proof of Lieb concavity theorem
- Remarks on two theorems of E. Lieb
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Spectral Sparsification of Graphs
- A random graph model for massive graphs
- ON SOME PROPERTIES OF MIXED DISCRIMINANTS
- RANDOM MATRIX THEORY AND FINANCIAL CORRELATIONS
- Learning Theory
- Convex Bodies The Brunn-MinkowskiTheory
- Clustering Social Networks
- An Introduction to Matrix Concentration Inequalities
- Exponential Operators and Parameter Differentiation in Quantum Physics
- Graph Sparsification by Effective Resistances
This page was built for publication: A generalized Lieb's theorem and its applications to spectrum estimates for a sum of random matrices
