#### Filter Results:

- Full text PDF available (2)

#### Publication Year

2011

2015

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

The paper is concerned with finite Hermitian Toeplitz matrices whose entries in the first row grow like a polynomial. Such matrices cannot be viewed as truncations of an infinite Toeplitz matrix which is generated by an integrable function or a nice measure. The main results describe the first-order asymptotics of the extreme eigenvalues as the matrix… (More)

- J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maximenko
- Journal of Approximation Theory
- 2015

We study the asymptotic behavior of individual eigenvalues of the n × n truncations of certain infinite Hessenberg Toeplitz matrices as n goes to infinity. The generating function of the Toeplitz matrices is supposed to be of the form a(t) = t −1 (1−t) α f (t) (t ∈ T), where α is a positive real number but not an integer and f is a smooth function in H ∞.… (More)

- ‹
- 1
- ›