Asymptotic spectral properties of totally symmetric multilevel Toeplitz matrices
โ Scribed by William F. Trench
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 190 KB
- Volume
- 416
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
By means of recent results concerning spectral distributions of Toeplitz matrices, we show that the singular values of a sequence of block p-level Hankel matrices H n (ยต), generated by a p-variate, matrix-valued measure ยต whose singular part is finitely supported, are always clustered at zero, thus
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