Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13634
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baboulin, Marc | - |
dc.contributor.author | Gratton, Serge | - |
dc.date.accessioned | 2010-08-19T13:47:48Z | - |
dc.date.available | 2010-08-19T13:47:48Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-44 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13634 | - |
dc.description.abstract | We derive closed formulas for the condition number of a linear function of the total least squares solution. Given an over determined linear systems Ax = b, we show that this condition number can be computed using the singular values and the right singular vectors of [A; b] and A. We also provide an upper bound that requires the computation of the largest and the smallest singular value of [A; b] and the smallest singular value of A. In a numerical example, we compare these values with the condition estimate given in [17]. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Total least squares | en_US |
dc.subject | Condition number | en_US |
dc.subject | Normwise perturbations | en_US |
dc.subject | Errors in-variables model | en_US |
dc.title | A contribution to the conditioning of the total least squares problem | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 09-44 | en_US |
degois.publication.location | Coimbra | en_US |
degois.publication.title | Pré-Publicações DMUC | en_US |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
crisitem.author.orcid | 0000-0002-5021-2357 | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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A contribution to the conditioning of the total least squares problem.pdf | 168.09 kB | Adobe PDF | View/Open |
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