Contents

Computational Mathematics and Mathematical Physics

Vol. 64, No. 4, 2024

General Numerical Methods

Numerical Range and a Generalization of Duffin’s Overdamping Criterion

R. Hildebrand p. 599  abstract

Three-Step Approximation Methods from Continuous and Discrete Perspective for Quasi-Variational Inequalities

N. Mijajlović and M. Jaćimović p. 605  abstract

Asymptotic Upper Bound for the Peak-Effect in Linear Control Systems

G. V. Smirnov p. 614  abstract

Optimal Control

Stochastic Gradient Descent with Preconditioned Polyak Step-Size

F. Abdukhakimov, C. Xiang, D. Kamzolov and M. Takáč p. 621  abstract

On Some Works of Boris Teodorovich Polyak on the Convergence of Gradient Methods and Their Development

S. S. Ablaev, A. N. Beznosikov, A. V. Gasnikov, D. M. Dvinskikh, A. V. Lobanov, S. M. Puchinin and F. S. Stonyakin p. 635  abstract

The Gradient Projection Method for a Supporting Function on the Unit Sphere and Its Applications

M. V. Balashov and A. A. Tremba p. 676  abstract

Diffusion Approximations and Control Variates for MCMC

N. Brosse, A. Durmus, S. Meyn, E. Moulines and S. Samsonov p. 693  abstract

Highly Smooth Zeroth-Order Methods for Solving Optimization Problems under the PL Condition

A. V. Gasnikov, A. V. Lobanov and F. S. Stonyakin p. 739  abstract

Polyak’s Method Based on the Stochastic Lyapunov Function for Justifying the Consistency of Estimates Produced by a Stochastic Approximation Search Algorithm under an Unknown-but-Bounded Noise

O. N. Granichin, Yu. V. Ivanskii and K. D. Kopylova p. 771  abstract

On the Redundancy of Hessian Nonsingularity for Linear Convergence Rate of the Newton Method Applied to the Minimization of Convex Functions

Yu. G. Evtushenko and A. A. Tret’yakov p. 781  abstract

Another Approach to Build Lyapunov Functions for the First Order Methods in the Quadratic Case

D. M. Merkulov and I. V. Oseledets p. 788  abstract

Higher-Order Iterative Learning Control Algorithms for Linear Systems

P. V. Pakshin, J. P. Emelianova and M. A. Emelianov p. 806  abstract

Non-Quadratic Proxy Functions in Mirror Descent Method Applied to Designing of Robust Controllers for Nonlinear Dynamic Systems with Uncertainty

A. V. Nazin and A. S. Poznyak p. 820  abstract

Mathematical Physics

Determination of the Thermal Conductivity and Volumetric Heat Capacity of Substance from Heat Flux

A. Yu. Gorchakov and V. I. Zubov p. 833  abstract

Information Science

Alternating Projection Method for Intersection of Convex Sets, Multi-Agent Consensus Algorithms, and Averaging Inequalities

A. V. Proskurnikov and I. S. Zabarianska p. 848  abstract