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Books and Theses
- 2005
[b1]Albrecht Böttcher, Sergei M. Grudsky:
Spectral properties of banded Toeplitz matrices. SIAM 2005, ISBN 978-0-89871-599-6, pp. I-X, 1-411
Journal Articles
- 2024
- [j8]Manuel Bogoya
, Sergei M. Grudsky, Stefano Serra-Capizzano:
Fast Non-Hermitian Toeplitz Eigenvalue Computations, Joining Matrixless Algorithms and FDE Approximation Matrices. SIAM J. Matrix Anal. Appl. 45(1): 284-305 (2024) - 2023
- [j7]Manuel Bogoya, Sergei M. Grudsky:
Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity. Numer. Linear Algebra Appl. 30(5) (2023) - 2015
- [j6]J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maximenko:
Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices. J. Approx. Theory 196: 79-100 (2015) - [j5]Sergei M. Grudsky, Alexei V. Rybkin:
Soliton Theory and Hankel Operators. SIAM J. Math. Anal. 47(3): 2283-2323 (2015) - 2010
- [j4]Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko:
Inside the eigenvalues of certain Hermitian Toeplitz band matrices. J. Comput. Appl. Math. 233(9): 2245-2264 (2010) - 2005
- [j3]Albrecht Böttcher, Sergei M. Grudsky:
Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Numer. Linear Algebra Appl. 12(2-3): 95-102 (2005) - 2003
- [j2]Albrecht Böttcher, Sergei M. Grudsky:
Asymptotic Spectra of Dense Toeplitz Matrices Are Unstable. Numer. Algorithms 33(1-4): 105-112 (2003) - 2000
- [j1]Albrecht Böttcher, Sergei M. Grudsky, Anatoli Kozak, Bernd Silbermann:
Norms of Large Toeplitz Band Matrices. SIAM J. Matrix Anal. Appl. 21(2): 547-561 (2000)
Conference and Workshop Papers
- 1999
- [c1]Albrecht Böttcher, Sergei M. Grudsky:
Eighteen Old and New Asymptotic Results on Toeplitz Band Matrices. LSSC 1999: 65-71
Informal and Other Publications
- 2022
- [i5]Sergei M. Grudsky, Egor A. Maximenko, Alejandro Soto-González:
Eigenvalues of the laplacian matrices of the cycles with one weighted edge. CoRR abs/2205.12457 (2022) - [i4]Sergei M. Grudsky, Vladislav V. Kravchenko, Sergii M. Torba:
Realization of the inverse scattering transform method for the Korteweg-de Vries equation. CoRR abs/2206.01317 (2022) - [i3]Manuel Bogoya, Sergei M. Grudsky, Stefano Serra-Capizzano:
Fast non-Hermitian Toeplitz eigenvalue computations, joining matrix-less algorithms and FDE approximation matrices. CoRR abs/2211.15506 (2022) - 2021
- [i2]Manuel Bogoya, Sergei M. Grudsky, Stefano Serra-Capizzano, Cristina Tablino Possio:
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. CoRR abs/2112.02681 (2021) - [i1]Manuel Bogoya, Sergei M. Grudsky, Mariarosa Mazza, Stefano Serra-Capizzano:
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems. CoRR abs/2112.02685 (2021)
Coauthor Index
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