Recovering Linear Operators and Lagrange Function Minimality Condition

Сибирский математический журнал

K. Yu. Osipenko¹  A. V. Arutyunov² 

[1] Moscow State University Institute for Information Transmission Problems;Peoples’ Friendship University of Russia

关键词: optimal recovery;    linear operator;    extremal problem;    Lagrange function;   

DOI  :  10.1134/S0037446618010020

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

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.

【 授权许可】

CC BY