SOLVING VARIATIONAL INEQUALITIES BY ITERATIVE METHODS

This article considers a class of iterative algorithms, during the study of which the results are presented in the form of implemented some iterative algorithms from the considered algorithms for solving variational inequalities, applied to solve some types of problems, such as numerical approximation of solving a system of linear algebraic equations, linear complementarity problem, nonlinear variational inequalities. A comparative analysis of the effectiveness of the methods based on graphs of the dependence of the values of the loss function on the number of iterations is carried out.

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Publication Details

Journal
Applied Mathematics and Fundamental Informatics
Published
2024-12-01
DOI
https://doi.org/10.25206/2311-4908-2024-11-4-10-16
Primary Topic
Optimization and Variational Analysis
Type
article
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article

SOLVING VARIATIONAL INEQUALITIES BY ITERATIVE METHODS

Mikhail Ovchinnikov, I. V. SHARUN
Applied Mathematics and Fundamental Informatics
Optimization and Variational Analysis
article

SOLVING VARIATIONAL INEQUALITIES BY ITERATIVE METHODS

Mikhail Ovchinnikov, I. V. SHARUN
article en

Abstract

This article considers a class of iterative algorithms, during the study of which the results are presented in the form of implemented some iterative algorithms from the considered algorithms for solving variational inequalities, applied to solve some types of problems, such as numerical approximation of solving a system of linear algebraic equations, linear complementarity problem, nonlinear variational inequalities. A comparative analysis of the effectiveness of the methods based on graphs of the dependence of the values of the loss function on the number of iterations is carried out.

Applied Mathematics and Fundamental InformaticsVol. 11(4)
Openalex Percentile: Top 72%
Optimization and Variational Analysis
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