Total least squares problems on infinite dimensional spaces
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Published:2021-03-15
Issue:4
Volume:37
Page:045008
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ISSN:0266-5611
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Container-title:Inverse Problems
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language:
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Short-container-title:Inverse Problems
Author:
Contino MaximilianoORCID,
Fongi Guillermina,
Maestripieri Alejandra,
Muro Santiago
Abstract
Abstract
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.
Funder
Agencia Nacional de Promoción Científica y Tecnológica
Consejo Nacional de Investigaciones Científicas y Técnicas
Universidad de Buenos Aires
Subject
Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science
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