<div class="csl-bib-body">
<div class="csl-entry">C.R.Cimadore, L.A.Rueda, Sauras Altuzarra, L., & N.Thome. (2022). Lattice properties of partial orders for complex matrices via orthogonal projectors. <i>Linear and Multilinear Algebra</i>, 718–736. https://doi.org/10.1080/03081087.2022.2160948</div>
</div>
-
dc.identifier.issn
0308-1087
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/139953
-
dc.description.abstract
This paper deals with left star, star, and core partial orders for complex matrices. For each partial order, we present an order-isomorphism between the down-set of a fixed matrix B and a certain set (depending on the partial order) of orthogonal projectors whose matrix sizes can be considerably smaller than that of the matrix B. We study the lattice structure and we give properties of the down-sets. We prove that the down-set of B ordered by the core partial order and by the star partial order are sublattices of the down-set ordered by the left star partial order. We analize the existence of supremum and infimum of two given matrices and we give characterizations of these operations (whenever they exist). Some of the results given in the paper are already known in the literature but we present a different proof based on the previously established order-isomorphism.
en
dc.language.iso
en
-
dc.publisher
TAYLOR & FRANCIS LTD
-
dc.relation.ispartof
Linear and Multilinear Algebra
-
dc.subject
Hartwig-Spindelböck factorization
en
dc.title
Lattice properties of partial orders for complex matrices via orthogonal projectors
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
Universidad Nacional del Sur, Argentinia
-
dc.contributor.affiliation
Universidad Nacional del Sur, Argentinia
-
dc.contributor.affiliation
Universitat Politècnica de València, Spain
-
dc.description.startpage
718
-
dc.description.endpage
736
-
dc.type.category
Original Research Article
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Linear and Multilinear Algebra
-
tuw.publication.orgunit
E104-02 - Forschungsbereich Computational Logic
-
tuw.publisher.doi
10.1080/03081087.2022.2160948
-
dc.identifier.eissn
1563-5139
-
dc.description.numberOfPages
19
-
tuw.author.orcid
0000-0001-6893-7463
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.fulltext
no Fulltext
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.languageiso639-1
en
-
item.cerifentitytype
Publications
-
item.openairetype
research article
-
item.grantfulltext
none
-
crisitem.author.dept
Universidad Nacional del Sur, Argentinia
-
crisitem.author.dept
Universidad Nacional del Sur, Argentinia
-
crisitem.author.dept
E104-02 - Forschungsbereich Computational Logic
-
crisitem.author.dept
Universitat Politècnica de València, Spain
-
crisitem.author.orcid
0000-0001-6893-7463
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie