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

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

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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.
Language:English
Published: Technische Universität Chemnitz 1998
Subjects:
info:eu-repo/classification/ddc/510
ddc:510
Toeplitz operator
Toeplitz matrices
singular values
eigenvalues
Wiener-Hopf
MSC 47B35
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801238
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