Estimates for the condition numbers of large semi-definite Toeplitz matrices

This paper is devoted to asymptotic estimates for the condition numbers $\kappa(T_n(a))=||T_n(a)|| ||T_n^(-1)(a)||$ of large $n\cross n$ Toeplitz matrices $T_N(a)$ in the case where $\alpha \element L^\infinity$ and $Re \alpha \ge 0$ . We describe several classes of symbols $\alpha$ for wh...

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Bibliographic Details
Main Authors: Böttcher, A., Grudsky, S. M.
Other Authors: TU Chemnitz, Fakultät für Mathematik
Format: Others
Language:English
Published: Universitätsbibliothek Chemnitz 1998
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801238
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801238
http://www.qucosa.de/fileadmin/data/qucosa/documents/4202/data/a013.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/4202/data/a013.dvi
http://www.qucosa.de/fileadmin/data/qucosa/documents/4202/data/a013.ps
http://www.qucosa.de/fileadmin/data/qucosa/documents/4202/19980123.txt