Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/39325
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dc.contributor.authorBranquinho, Amílcarpt_PT
dc.contributor.authorFoulquié-Moreno, Anapt_PT
dc.contributor.authorMañas, Manuelpt_PT
dc.date.accessioned2023-09-06T17:03:35Z-
dc.date.available2023-09-06T17:03:35Z-
dc.date.issued2023-11-15-
dc.identifier.issn0024-3795pt_PT
dc.identifier.urihttp://hdl.handle.net/10773/39325-
dc.description.abstractRecently, a spectral Favard theorem was presented for bounded banded lower Hessenberg matrices that possess a positive bidiagonal factorization. The paper establishes conditions, expressed in terms of continued fractions, under which an oscillatory tetradiagonal Hessenberg matrix can have such a positive bidiagonal factorization. Oscillatory tetradiagonal Toeplitz matrices are examined as a case study of matrices that admit a positive bidiagonal factorization. Furthermore, the paper proves that oscillatory banded Hessenberg matrices are organized in rays, where the origin of the ray does not have a positive bidiagonal factorization, but all the interior points of the ray do have such a positive bidiagonal factorization.pt_PT
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00324%2F2020/PTpt_PT
dc.relationUIDB/MAT/UID/04106/2020pt_PT
dc.relationUIDP/MAT/04106/2020pt_PT
dc.relationPGC2018-096504-B-C33pt_PT
dc.relationPID2021-122154NB-I00pt_PT
dc.rightsopenAccesspt_PT
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectBanded Hessenberg matricespt_PT
dc.subjectOscillatory matricespt_PT
dc.subjectTotally nonnegative matricespt_PT
dc.subjectContinued fractionspt_PT
dc.subjectGauss–Borel factorizationpt_PT
dc.subjectBidiagonal factorizationpt_PT
dc.subjectOscillatory retracted matricespt_PT
dc.titlePositive bidiagonal factorization of tetradiagonal Hessenberg matricespt_PT
dc.typearticlept_PT
dc.description.versionpublishedpt_PT
dc.peerreviewedyespt_PT
degois.publication.firstPage132pt_PT
degois.publication.lastPage160pt_PT
degois.publication.titleLinear Algebra and its Applicationspt_PT
degois.publication.volume677pt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0024379523003002pt_PT
dc.identifier.doi10.1016/j.laa.2023.08.001pt_PT
dc.identifier.essn1873-1856pt_PT
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