Total least squares problems on infinite dimensional spaces

被引：1

作者：

Contino, Maximiliano ^{[1
,2
]}

Fongi, Guillermina ^{[3
]}

Maestripieri, Alejandra ^{[1
,2
]}

Muro, Santiago ^{[3
]}

机构：

[1] Inst Argentino Matemat Alberto P Calderon, CONICET Saavedra 15, RA-1083 Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, Fac Ingn, Paseo Colon 850, RA-1063 Buenos Aires, DF, Argentina

[3] Ctr Franco Argentino Ciencias Informac & Sistemas, RA-2000 Rosario, Argentina

来源：

INVERSE PROBLEMS | 2021年 / 37卷 / 04期

关键词：

total least squares problems; Tikhonov regularization; inverse problems;

D O I：

10.1088/1361-6420/abe3dd

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study weighted total least squares problems on infinite dimensional spaces. We present some necessary and sufficient conditions for the regularized problem to have a solution. The existence of solution can also be assured for the regularized minimization problem with a constraint to special subsets. Furthermore, we show that a regularization in infinite dimensional total least squares problems is necessary, since in most cases the problem without regularization does not admit a solution.

引用

页数：23

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