Constrained Convex Minimization Methods Generating Regularizing Algorithms Full article
| Journal |
Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605 |
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| Output data | Year: 2025, Volume: 331, Number: S1, Pages: S86-S98 Pages count : 13 DOI: 10.1134/s0081543826600146 | ||||
| Tags | ill-posed and improper problems, convex constraints, iterative process, convex minimization, regularizing algorithm. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0015 |
Abstract:
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.
Cite:
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
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
Original:
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
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
Dates:
| Submitted: | Jun 24, 2025 |
| Accepted: | Oct 8, 2025 |
| Published print: | Jun 5, 2026 |
| Published online: | Jun 5, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001786279300004 |
| ≡ Scopus: | 2-s2.0-105041035861 |
| ≡ Elibrary: | 91554853 |
| ≡ OpenAlex: | W7163636971 |