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.