The eigenvalue set of a class of equimodular matrices
β Scribed by Gerald Lee Bradley
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 659 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Eigenvalue bounds are provided. It is proved that the minimal eigenvalue of a __Z__βmatrix strictly diagonally dominant with positive diagonals lies between the minimal and the maximal row sums. A similar upper bound does not hold for the minimal eigenvalue of a matrix strictly diagonal
A stronger result on the limiting distribution of the eigenvalues of random Hermitian matrices of the form \(A+X T X^{*}\), originally studied in Marcenko and Pastur, is presented. Here, \(X(N \times n), T(n \times n)\), and \(A(N \times N)\) are independent, with \(X\) containing i.i.d. entries hav