Artículo
Total least squares problems on infinite dimensional spaces
Contino, Maximiliano
; Fongi, Guillermina
; Maestripieri, Alejandra Laura
; Muro, Luis Santiago Miguel
Fecha de publicación:
04/2021
Editorial:
IOP Publishing
Revista:
Inverse Problems
ISSN:
0266-5611
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
INVERSE PROBLEMS
,
TIKHONOV REGULARIZATION
,
TOTAL LEAST SQUARES PROBLEMS
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Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Contino, Maximiliano; Fongi, Guillermina; Maestripieri, Alejandra Laura; Muro, Luis Santiago Miguel; Total least squares problems on infinite dimensional spaces; IOP Publishing; Inverse Problems; 37; 4; 4-2021; 1-21
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