New characterizations of ℓ1 solutions to overdetermined systems of linear equations

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dc.citation.epage166en_US
dc.citation.issueNumber3en_US
dc.citation.spage159en_US
dc.citation.volumeNumber16en_US
dc.contributor.authorMadsen, K.en_US
dc.contributor.authorNielsen H. B.en_US
dc.contributor.authorPınar, M. Ç.en_US
dc.date.accessioned2016-02-08T10:53:46Z
dc.date.available2016-02-08T10:53:46Z
dc.date.issued1994en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractNew characterizations of the ℓ1 solutions to overdetermined system of linear equations are given. The first is a polyhedral characterization of the solution set in terms of a special sign vector using a simple property of the ℓ1 solutions. The second characterization is based on a smooth approximation of the ℓ1 function using a "Huber" function. This allows a description of the solution set of the ℓ1 problem from any solution to the approximating problem for sufficiently small positive values of an approximation parameter. A sign approximation property of the Huber problem is also considered and a characterization of this property is given. © 1994.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:53:46Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 1994en
dc.identifier.doi10.1016/0167-6377(94)90027-2en_US
dc.identifier.eissn1872-7468
dc.identifier.issn0167-6377
dc.identifier.urihttp://hdl.handle.net/11693/26012
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/0167-6377(94)90027-2en_US
dc.source.titleOperations Research Lettersen_US
dc.subjectCharacterizationen_US
dc.subjectHuber functionsen_US
dc.subjectNon-smooth optimizationen_US
dc.subjectOverdetermined linear systemsen_US
dc.subjectSmoothingen_US
dc.subjectℓ1 optimizationen_US
dc.subjectApproximation theoryen_US
dc.subjectFunctionsen_US
dc.subjectLinear algebraen_US
dc.subjectMathematical operatorsen_US
dc.subjectOptimizationen_US
dc.subjectVectorsen_US
dc.subjectHuber functionsen_US
dc.subjectNon-smooth optimizationen_US
dc.subjectOverdetermined linear systemsen_US
dc.subjectSmoothingen_US
dc.subjectOperations researchen_US
dc.titleNew characterizations of ℓ1 solutions to overdetermined systems of linear equationsen_US
dc.typeArticleen_US

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