Total least squares problems on infinite dimensional spaces
- Contino, Maximiliano
- Fongi, Guillermina
- Maestripieri, Alejandra Laura
- Muro, Luis Santiago Miguel
DOIAbstract
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.Fil: Contino, Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Fongi, Guillermina. Consejo Nacional de Investigac...
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