On Wielandt's Inequality and Its Application to the Asymptotic Distribution of the Eigenvalues of a Random Symmetric Matrix
โ Scribed by Morris L. Eaton and David E. Tyler
- Book ID
- 120945363
- Publisher
- Institute of Mathematical Statistics
- Year
- 1991
- Tongue
- English
- Weight
- 983 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0090-5364
- DOI
- 10.2307/2241854
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๐ SIMILAR VOLUMES
Suppose that A is an n ร n positive deยฎnite Hermitian matrix. Let X and Y be n ร p and n ร q matrices, respectively, such that X ร Y 0. The present article proves the following inequality, where k 1 and k n are respectively the largest and smallest eigenvalues of A, and M ร stands for a generalized
The eigenvalue distribution of a uniformly chosen random finite unipotent matrix in its permutation action on lines is studied. We obtain bounds for the mean number of eigenvalues lying in a fixed arc of the unit circle and offer an approach to other asymptotics. For the case of all unipotent matric