Majorization for (0,-1,1)-matrices

dc.date.accessioned	2023-01-28T16:27:26Z
dc.date.available	2023-01-28T16:27:26Z
dc.date.created	2023-01-13T18:35:12Z
dc.date.issued	2023
dc.identifier.citation	Dahl, Geir Guterman, Alexander Shteyner, Pavel . Majorization for (0,-1,1)-matrices. Linear Algebra and its Applications. 2023
dc.identifier.uri	http://hdl.handle.net/10852/99374
dc.description.abstract	Matrix majorization is a generalization of the classical majorization for vectors. We study several basic questions concerning matrix majorization for (0;±1)-matrices, i.e., matrices whose entries are restricted to 0, 1 and -1. In particular, we characterize when the zero vector is weakly majorized by a matrix, and show related results. Connections to linear programming are discussed. We obtain simpler characterizations of majorization under different assumptions. Also, several results on directional and strong majorization for (0;±1)-matrices are shown.
dc.language	EN
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.title	Majorization for (0,-1,1)-matrices
dc.title.alternative	ENEngelskEnglishMajorization for (0,-1,1)-matrices
dc.type	Journal article
dc.creator.author	Dahl, Geir
dc.creator.author	Guterman, Alexander
dc.creator.author	Shteyner, Pavel
cristin.unitcode	185,15,13,0
cristin.unitname	Matematisk institutt
cristin.ispublished	false
cristin.fulltext	postprint
cristin.qualitycode	1
dc.identifier.cristin	2106899
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Linear Algebra and its Applications&rft.volume=&rft.spage=&rft.date=2023
dc.identifier.jtitle	Linear Algebra and its Applications
dc.identifier.doi	https://doi.org/10.1016/j.laa.2023.01.009
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	0024-3795
dc.type.version	AcceptedVersion