Constrained Convex Minimization Methods Generating Regularizing Algorithms | Sciact - Система учета научной деятельности ИМ СО РАН

Constrained Convex Minimization Methods Generating Regularizing Algorithms Научная публикация

Журнал

Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605

Вых. Данные

Год: 2025, Том: 331, Номер: S1, Страницы: S86-S98 Страниц : 13 DOI: 10.1134/s0081543826600146

Ключевые слова

ill-posed and improper problems, convex constraints, iterative process, convex minimization, regularizing algorithm.

Авторы

Vasin V.V. ¹ , Gainova I.A. ²

Организации

1	Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
2	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0015

We propose a modified version of a previously published iterative method for solving a minimization problem of a convex function. This modification involves a new procedure for computing the metric projection which is included in the step operator of the basis iterative process. Unlike the original method, the modified version allows for solving the constrained convex minimization problem for both consistent and inconsistent systems of constraints. The convergence of the iterative process and its stability with respect to input data errors are investigated. The performed model numerical examples confirm the effectiveness of the basis and the modified methods.

Vasin V.V. , Gainova I.A.
Constrained Convex Minimization Methods Generating Regularizing Algorithms
Proceedings of the Steklov Institute of Mathematics. 2025. V.331. NS1. P.S86-S98. DOI: 10.1134/s0081543826600146 WOS Scopus РИНЦ OpenAlex

Васин В.В. , Гайнова И.А.
О методах условной выпуклой минимизации, порождающих регуляризующие алгоритмы
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2025. Т.31. №4. С.71-84. DOI: 10.21538/0134-4889-2025-31-4-71-84 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	24 июн. 2025 г.
Принята к публикации:	8 окт. 2025 г.
Опубликована в печати:	5 июн. 2026 г.
Опубликована online:	5 июн. 2026 г.

≡ Web of science:	WOS:001786279300004
≡ Scopus:	2-s2.0-105041035861
≡ РИНЦ:	91554853
≡ OpenAlex:	W7163636971