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2021, Volume 61, Number 5  


General numerical methods
New applications of matrix methods
N. L. Zamarashkin, I. V. Oseledets, E. E. Tyrtyshnikov
691–695
Algebras closed by $J$-hermitianity in displacement formulas
E. Bozzo, P. Deidda, C. di Fiore
696–705
An accurate restarting for shift-and-invert Кrylov subspaces computing matrix exponential actions of nonsymmetric matrices
M. A. Botchev
706–722
A survey of Shanks' extrapolation methods and their applications
C. Brezinski, M. Redivo-Zaglia
723–743
Inductive matrix completion with feature selection
M. Burkina, I. Nazarov, M. Panov, G. Fedonin, B. Shirokikh
744–758
Computing the eigenvectors of nonsymmetric tridiagonal matrices
P. Van Dooren, T. Laudadio, N. Mastronardi
759–775
TT ranks of approximate tensorizations of some smooth functions
L. I. Vysotsky
776–786
New algorithms for solving nonlinear eigenvalue problems
W. Gander
787–799
Reduced-order modeling of deep neural networks
J. V. Gusak, T. K. Daulbaev, I. V. Oseledets, E. S. Ponomarev, A. S. Cichocki
800–812
On the accuracy of cross and column low-rank MaxVol approximations in average
N. L. Zamarashkin, A. I. Osinskii
813–826
Low-rank approximation algorithms for matrix completion with random sampling
O. S. Lebedeva, A. I. Osinskii, S. V. Petrov
827–844
Structuring data with block term decomposition: decomposition of joint tensors and variational block term decomposition as a parametrized mixture distribution model
I. V. Oseledets, P. V. Kharyuk
845–864

Optimal control
TT-QI: Faster value iteration in tensor train format for stochastic optimal control
A. I. Boyko, I. V. Oseledets, G. Ferrer
865–877

Partial Differential Equations
Numerical method for solving volume integral equations on a nonuniform grid
A. B. Samokhin, E. E. Tyrtyshnikov
878–884

Mathematical physics
Extraction of inductances and spatial distributions of currents in a model of superconducting neuron
S. V. Bakurskiy, N. V. Klenov, M. Yu. Kupriyanov, I. I. Soloviev, M. M. Khapaev
885–894
Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems
V. Kh. Khoromskaia, B. N. Khoromsky
895

Computer science
Overview of visualization methods for artificial neural networks
S. A. Matveev, I. V. Oseledets, E. S. Ponomarev, A. V. Chertkov
896–910
Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
 
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