Total least squares problems on infinite dimensional spaces

dc.creatorContino, Maximiliano
dc.creatorFongi, Guillermina
dc.creatorMaestripieri, Alejandra Laura
dc.creatorMuro, Luis Santiago Miguel
dc.date.accessioned2021-08-04T19:04:39Z
dc.date.accessioned2022-10-15T15:15:12Z
dc.date.available2021-08-04T19:04:39Z
dc.date.available2022-10-15T15:15:12Z
dc.date.created2021-08-04T19:04:39Z
dc.date.issued2021-04
dc.identifierContino, 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
dc.identifier0266-5611
dc.identifierhttp://hdl.handle.net/11336/137797
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4401493
dc.description.abstractWe 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.
dc.languageeng
dc.publisherIOP Publishing
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1361-6420/abe3dd
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1088/1361-6420/abe3dd
dc.relationinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2011.09498
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectINVERSE PROBLEMS
dc.subjectTIKHONOV REGULARIZATION
dc.subjectTOTAL LEAST SQUARES PROBLEMS
dc.titleTotal least squares problems on infinite dimensional spaces
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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