Asymptotic dependence of the extreme eigenvalues of truncated Toeplitz matrices on the rate at which the symbol attains its extremum
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A. Yu. Novosel′tsev and I. B. Simonenko
Translated by: V. V. Kapustin - St. Petersburg Math. J. 16 (2005), 713-718
- DOI: https://doi.org/10.1090/S1061-0022-05-00875-7
- Published electronically: June 23, 2005
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References
- Stefano Serra, On the extreme eigenvalues of Hermitian (block) Toeplitz matrices, Linear Algebra Appl. 270 (1998), 109–129. MR 1484077
- G. Szegő, Beiträge zur Theorie der Toeplitzschen Formen. I, II, Math. Z. 6 (1920), 167–202; 9 (1921), 167–190.
- G. Szegö, On certain Hermitian forms associated with the Fourier series of a positive function, Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 1952 (1952), no. Tome Supplémentaire, 228–238. MR 51961
- Ulf Grenander and Gábor Szegő, Toeplitz forms and their applications, 2nd ed., Chelsea Publishing Co., New York, 1984. MR 890515
Bibliographic Information
- A. Yu. Novosel′tsev
- Affiliation: Department of Mathematics and Mechanics, Rostov State University, Zorge 5, Rostov-on-Don 344090, Russia
- MR Author ID: 745735
- I. B. Simonenko
- Affiliation: Department of Mathematics and Mechanics, Rostov State University, Zorge 5, Rostov-on-Don 344090, Russia
- Received by editor(s): July 31, 2003
- Published electronically: June 23, 2005
- © Copyright 2005 American Mathematical Society
- Journal: St. Petersburg Math. J. 16 (2005), 713-718
- MSC (2000): Primary 47B35
- DOI: https://doi.org/10.1090/S1061-0022-05-00875-7
- MathSciNet review: 2090855