Nikolai Zamarashkin
Nikolai Zamarashkin
INM RAS
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Название
Процитировано
Процитировано
Год
A theory of pseudoskeleton approximations
SA Goreinov, EE Tyrtyshnikov, NL Zamarashkin
Linear algebra and its applications 261 (1-3), 1-21, 1997
5061997
How to find a good submatrix
SA Goreinov, IV Oseledets, DV Savostyanov, EE Tyrtyshnikov, ...
Matrix Methods: Theory, Algorithms And Applications: Dedicated to the Memory …, 2010
1892010
Spectra of multilevel Toeplitz matrices: advanced theory via simple matrix relationships
EE Tyrtyshnikov, NL Zamarashkin
Linear algebra and its applications 270 (1-3), 15-27, 1998
1411998
Pseudo-skeleton approximations by matrices of maximal volume
SA Goreinov, NL Zamarashkin, EE Tyrtyshnikov
Mathematical Notes 62 (4), 515-519, 1997
961997
Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function
NL Zamarashkin, EE Tyrtyshnikov
Sbornik: Mathematics 188 (8), 1191, 1997
591997
Pseudo-skeleton approximations of matrices
SA Goreinov, NL Zamarashkin, EE Tyrtyshnikov
Doklady Akademii Nauk 343 (2), 151-152, 1995
411995
Pseudo-skeleton approximations with better accuracy estimates
AI Osinsky, NL Zamarashkin
Linear Algebra and its Applications 537, 221-249, 2018
342018
Tensor-train ranks for matrices and their inverses
I Oseledets, E Tyrtyshnikov, N Zamarashkin
Computational Methods in Applied Mathematics 11 (3), 394-403, 2011
282011
Clusters, preconditioners, convergence
EE Tyrtyshnikov, AY Yeremin, NL Zamarashkin
Linear algebra and its applications 263, 25-48, 1997
261997
Toeplitz eigenvalues for Radon measures
EE Tyrtyshnikov, NL Zamarashkin
Linear algebra and its applications 343, 345-354, 2002
202002
Construction and analysis of polar and concatenated polar codes: practical approach
G Bonik, S Goreinov, N Zamarashkin
arXiv preprint arXiv:1207.4343, 2012
182012
On the decay of the elements of inverse triangular Toeplitz matrices
NJ Ford, DV Savostyanov, NL Zamarashkin
SIAM Journal on Matrix Analysis and Applications 35 (4), 1288-1302, 2014
162014
New accuracy estimates for pseudoskeleton approximations of matrices
NL Zamarashkin, AI Osinsky
Doklady Mathematics 94 (3), 643-645, 2016
142016
Thin structure of eigenvalue clusters for non-Hermitian Toeplitz matrices
EE Tyrtyshnikov, NL Zamarashkin
Linear Algebra and its Applications 292 (1-3), 297-310, 1999
131999
Fast truncation of mode ranks for bilinear tensor operations
DV Savostyanov, EE Tyrtyshnikov, NL Zamarashkin
Numerical Linear Algebra with Applications 19 (1), 103-111, 2012
122012
The tensor structure of the inverse of a banded Toeplitz matrix
NL Zamarashkin, IV Oseledets, EE Tyrtyshnikov
Doklady Mathematics 80 (2), 669-670, 2009
112009
Approximation of Toeplitz matrices by sums of circulants and small-rank matrices
NL Zamarashkin, IV Oseledets, EE Tyrtyshnikov
Doklady Mathematics 73 (1), 100-101, 2006
112006
On the existence of a nearly optimal skeleton approximation of a matrix in the Frobenius norm
NL Zamarashkin, AI Osinsky
Doklady Mathematics 97 (2), 164-166, 2018
102018
Matrix Methods: Theory, Algorithms, Applications
S Goreinov, I Oseledets, D Savostyanov, E Tyrtyshnikov, N Zamarashkin
World Scientific, 2010
102010
Matrix inversion cases with size-independent tensor rank estimates
I Oseledets, E Tyrtyshnikov, N Zamarashkin
Linear algebra and its applications 431 (5-7), 558-570, 2009
92009
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