Recovering Linear Operators and Lagrange Function Minimality Condition
- Authors: Arutyunov A.V.1, Osipenko K.Y.2
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Affiliations:
- Peoples’ Friendship University of Russia
- Moscow State University Institute for Information Transmission Problems
- Issue: Vol 59, No 1 (2018)
- Pages: 11-21
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171634
- DOI: https://doi.org/10.1134/S0037446618010020
- ID: 171634
Cite item
Abstract
This article concerns the recovery of the operators by noisy information in the case that their norms are defined by integrals over infinite intervals. We study the conditions under which the dual extremal problem (often nonconvex) can be solved using the Lagrange function minimality condition.
About the authors
A. V. Arutyunov
Peoples’ Friendship University of Russia
Author for correspondence.
Email: arutyunov@cs.msu.ru
Russian Federation, Moscow
K. Yu. Osipenko
Moscow State University Institute for Information Transmission Problems
Email: arutyunov@cs.msu.ru
Russian Federation, Moscow