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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… Click to show full 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.
Keywords:
total least;
least squares;
problems infinite;
squares problems;
infinite dimensional;
dimensional spaces
Journal Title: Inverse Problems
Year Published: 2020
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Journal Title: Inverse Problems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!