Vol. 61, No. 5, 2021

Computational Mathematics and Mathematical Physics

General Numerical Methods

New Applications of Matrix Methods

N. L. Zamarashkin, I. V. Oseledets and E. E. Tyrtyshnikov p. 669 abstract

Algebras Closed by J-Hermitianity in Displacement Formulas

E. Bozzo, P. Deidda and C. Di Fiore p. 674 abstract

An Accurate Restarting for Shift-and-Invert Krylov Subspaces Computing Matrix Exponential Actions of Nonsymmetric Matrices

M. A. Botchev p. 684 abstract

A Survey of Shanks’ Extrapolation Methods and Their Applications

C. Brezinski and M. Redivo-Zaglia p. 699 abstract

Inductive Matrix Completion with Feature Selection

M. Burkina, I. Nazarov, M. Panov, G. Fedonin and B. Shirokikh p. 719 abstract

Computing the Eigenvectors of Nonsymmetric Tridiagonal Matrices

P. Van Dooren, T. Laudadio and N. Mastronardi p. 733 abstract

TT Ranks of Approximate Tensorizations of Some Smooth Functions

L. I. Vysotsky p. 750 abstract

New Algorithms for Solving Nonlinear Eigenvalue Problems

W. Gander p. 761 abstract

Reduced-Order Modeling of Deep Neural Networks

J. Gusak, T. Daulbaev, E. Ponomarev, A. Cichocki and I. Oseledets p. 774 abstract

On the Accuracy of Cross and Column Low-Rank Maxvol Approximations in Average

N. L. Zamarashkin and A. I. Osinsky p. 786 abstract

Low-Rank Approximation Algorithms for Matrix Completion with Random Sampling

O. S. Lebedeva, A. I. Osinsky and S. V. Petrov p. 799 abstract

Structuring Data with Block Term Decomposition: Decomposition of Joint Tensors and Variational Block Term Decomposition as a Parametrized Mixture Distribution Model

I. V. Oseledets and P. V. Kharyuk p. 816 abstract

Optimal Control

TT-QI: Faster Value Iteration in Tensor Train Format for Stochastic Optimal Control

A. I. Boyko, I. V. Oseledets and G. Ferrer p. 836 abstract

Partial Differential Equations

Numerical Method for Solving Volume Integral Equations on a Nonuniform Grid

A. B. Samokhin and E. E. Tyrtyshnikov p. 847 abstract

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 and M. M. Khapaev p. 854 abstract

Prospects of Tensor-Based Numerical Modeling of the Collective Electrostatics in Many-Particle Systems

V. Khoromskaia and B. N. Khoromskij p. 864 abstract

Information Science

Overview of Visualization Methods for Artificial Neural Networks