Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2004_16_4_a7, author = {A. Yu. Novosel'tsev and I. B. Simonenko}, title = {Dependence of the asymptotic of extreme eigenvalues of truncated {Toeplitz} matrices on the rate of attaining an exremum by the symbol}, journal = {Algebra i analiz}, pages = {146--152}, publisher = {mathdoc}, volume = {16}, number = {4}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2004_16_4_a7/} }
TY - JOUR AU - A. Yu. Novosel'tsev AU - I. B. Simonenko TI - Dependence of the asymptotic of extreme eigenvalues of truncated Toeplitz matrices on the rate of attaining an exremum by the symbol JO - Algebra i analiz PY - 2004 SP - 146 EP - 152 VL - 16 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AA_2004_16_4_a7/ LA - ru ID - AA_2004_16_4_a7 ER -
%0 Journal Article %A A. Yu. Novosel'tsev %A I. B. Simonenko %T Dependence of the asymptotic of extreme eigenvalues of truncated Toeplitz matrices on the rate of attaining an exremum by the symbol %J Algebra i analiz %D 2004 %P 146-152 %V 16 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/AA_2004_16_4_a7/ %G ru %F AA_2004_16_4_a7
A. Yu. Novosel'tsev; I. B. Simonenko. Dependence of the asymptotic of extreme eigenvalues of truncated Toeplitz matrices on the rate of attaining an exremum by the symbol. Algebra i analiz, Tome 16 (2004) no. 4, pp. 146-152. http://geodesic.mathdoc.fr/item/AA_2004_16_4_a7/
[1] Serra S., “On the extreme eigenvalues of Hermitian (block) Toeplitz matrices”, Linear Algebra Appl., 270 (1998), 109–129 | MR | Zbl
[2] Szegő G., “Beiträge zur Theorie der Toeplitzschen Formen. I, II”, Math. Z., 6 (1920), 167–202 ; 9 (1921), 167–190 | DOI | MR | DOI | MR
[3] Szegő G., “On certain Hermitian forms associated with the Fourier series of a positive function”, Comm. Sém. Math. Univ. Lund, 1952, Suppl. (1952), 228–238 | MR | Zbl
[4] Grenander U., Szegő G., Toeplitz forms and their applications, 2nd ed., Chelsea Publishing Co., New York, 1984 | MR
[5] Grenander U., Sege G., Teplitsevy formy i ikh prilozheniya, IL, M., 1961