A note on the perturbation of positive matrices by normal and unitary matrices
โ Scribed by Michael Neumann; Nung-Sing Sze
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 103 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
helmut wielandt zum 90. geburtstag Let A and B be stochastic matrices of the same type n n . It is natural to consider perturbations A t of A of the form Now, the following two questions come up immediately. (1) When does lim kโโ A t k exist? (2) How does lim kโโ A t k behave for small t? As the
be Hermitian matrices with eigenvalues ฮป 1 โข โข โข ฮป k and ฮป 1 โข โข โข ฮป k , respectively. Denote by E the spectral norm of the matrix E, and ฮท the spectral gap between the spectra of H 1 and H 2 . It is shown that , which improves all the existing results. Similar bounds are obtained for singular valu