This article is cited in 57 papers

Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function

N. L. Zamarashkin, E. E. Tyrtyshnikov

Institute of Numerical Mathematics, Russian Academy of Sciences

Abstract: A new approach to the study of asymptotic distributions of eigenvalues and singular values of Toeplitz matrices is presented; this approach involves a matrix criterion for equidistribution. Theorems of Szego type for generating functions in $L_1$ are obtained.

UDC: 512.64+517.5

MSC: Primary 15A18, 15A57; Secondary 65F15

Received: 19.06.1996

DOI: 10.4213/sm251

 English version: Sbornik: Mathematics, 1997, 188:8, 1191–1201

Bibliographic databases:

• 
• 
• 
•