ELA, Volume 15, pp. 251-259, September 2006, abstract.

Schatten Norms of Toeplitz Matrices with
Fisher-Hartwig Singularities

Albrecht Bottcher

The asymptotics of the Schatten norms of finite Toeplitz 
matrices generated by functions with a Fisher-Hartwig 
singularity are described as the matrix dimension n goes 
to infinity. The message of the paper is to reveal some 
kind of a kink: the pth Schatten norm increases as n to 
the power 1/p before the singularity reaches a critical 
point and as n to an exponent depending on the singularity
beyond the critical point.