Total least squares problems on infinite dimensional spaces
Functional Analysis
2021-05-26 v1
Abstract
In this work we study weighted total least squares problems on infinite dimensional spaces. We show that in most cases this problem does not admit a solution (except in the trivial case) and then, we consider a regularization on the problem. We present necessary conditions for the regularized problem to have a solution. We also show that, by restricting the regularized minimization problem to special subsets, the existence of a solution may be assured.
Cite
@article{arxiv.2011.09498,
title = {Total least squares problems on infinite dimensional spaces},
author = {Maximiliano Contino and Guillermina Fongi and Alejandra Maestripieri and Santiago Muro},
journal= {arXiv preprint arXiv:2011.09498},
year = {2021}
}