Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
โ Scribed by Serra, Stefano
- Book ID
- 118215419
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 356 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4798
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If n t rรs n rYs0 is a real symmetric Toeplitz (RST) matrix then R n has a basis consisting of dna2e eigenvectors x satisfying (A) tx x and na2 eigenvectors y satisfying (B) ty รy, where t is the ยฏip matrix. We say that an eigenvalue k of n is even if a k-eigenvector of n satisยฎes (A), or odd if a k
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