𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The inertia of certain Hermitian block matrices

✍ Scribed by C.M. da Fonseca

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
629 KB
Volume
274
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

We characterize sets of inertias of some partitioned Hermitian matrices by a system of inequalities involving the orders of the blocks, the inert& of the diagonal blocks, and the ranks of the nondiagonal blocks. The main result generalizes some well-known characterizations of .% and Cain and others.

πŸ“œ SIMILAR VOLUMES

On the extreme eigenvalues of hermitian
On the extreme eigenvalues of hermitian (block) toeplitz matrices
✍ Stefano Serra πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 758 KB

We are concerned with the behavior of the minimum (maximum) eigenvalue A~0 "~ (A~ "~) of an (n + 1) X (n + 1) Hermitian Toeplitz matrix T~(f) where f is an integrable real-valued function. Kac, Murdoch, and Szeg5, Widom, Patter, and R. H. Chan obtained that A}~ 0 -rain f = O(1/n 2k) in the case whe