Certification of the Sign Regularity of Matrix Intervals

Kurzanzeige
dc.contributor.authorAdm, Mohammad
dc.contributor.authorGarloff, Jürgen
dc.date.accessioned2026-01-22T15:18:55Z
dc.date.available2026-01-22T15:18:55Z
dc.date.issued2026-01-17
dc.description.abstractA sign regular matrix is a matrix having the property that its non-zero minors of all orders have, for each order, an identical sign. The most important instances are the totally nonnegative matrices; these are matrices having only nonnegative minors. In this paper, intervals of real matrices with respect to the usual entry-wise partial ordering are considered. The objective is to determine the minimum number of sign regular vertex matrices with an identical signature of their minors from which it can be inferred that all element matrices in the interval are sign regular with the same signature of their minors. Results obtained so far are surveyed and approaches toward resolving a long-standing open problem are discussed.
dc.description.versionpublisheddeu
dc.identifier.doi10.1007/s44146-026-00223-y
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/75838
dc.language.isoeng
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectTotally nonnegative matrix
dc.subjectSign regular matrix
dc.subjectMatrix interval
dc.subject.ddc510
dc.titleCertification of the Sign Regularity of Matrix Intervalseng
dc.typeJOURNAL_ARTICLE
dspace.entity.typePublication
kops.citation.bibtex
@article{Adm2026-01-17Certi-75838,
  title={Certification of the Sign Regularity of Matrix Intervals},
  year={2026},
  doi={10.1007/s44146-026-00223-y},
  issn={0001-6969},
  journal={Acta Scientiarum Mathematicarum},
  author={Adm, Mohammad and Garloff, Jürgen}
}
kops.citation.iso690ADM, Mohammad, Jürgen GARLOFF, 2026. Certification of the Sign Regularity of Matrix Intervals. In: Acta Scientiarum Mathematicarum. Springer. ISSN 0001-6969. eISSN 2064-8316. Verfügbar unter: doi: 10.1007/s44146-026-00223-ydeu
kops.citation.iso690ADM, Mohammad, Jürgen GARLOFF, 2026. Certification of the Sign Regularity of Matrix Intervals. In: Acta Scientiarum Mathematicarum. Springer. ISSN 0001-6969. eISSN 2064-8316. Available under: doi: 10.1007/s44146-026-00223-yeng
kops.citation.rdf
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/75838">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-01-22T15:18:55Z</dc:date>
    <dc:contributor>Garloff, Jürgen</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/75838"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:title>Certification of the Sign Regularity of Matrix Intervals</dcterms:title>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-01-22T15:18:55Z</dcterms:available>
    <dc:language>eng</dc:language>
    <dc:rights>Attribution 4.0 International</dc:rights>
    <dcterms:abstract>A sign regular matrix is a matrix having the property that its non-zero minors of all orders have, for each order, an identical sign. The most important instances are the totally nonnegative matrices; these are matrices having only nonnegative minors. In this paper, intervals of real matrices with respect to the usual entry-wise partial ordering are considered. The objective is to determine the minimum number of sign regular vertex matrices with an identical signature of their minors from which it can be inferred that all element matrices in the interval are sign regular with the same signature of their minors. Results obtained so far are surveyed and approaches toward resolving a long-standing open problem are discussed.</dcterms:abstract>
    <dc:contributor>Adm, Mohammad</dc:contributor>
    <dcterms:issued>2026-01-17</dcterms:issued>
    <dc:creator>Garloff, Jürgen</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Adm, Mohammad</dc:creator>
  </rdf:Description>
</rdf:RDF>
kops.description.openAccessopenaccesshybrid
kops.flag.isPeerReviewedunknown
kops.flag.knbibliographytrue
kops.sourcefieldActa Scientiarum Mathematicarum. Springer. ISSN 0001-6969. eISSN 2064-8316. Verfügbar unter: doi: 10.1007/s44146-026-00223-ydeu
kops.sourcefield.plainActa Scientiarum Mathematicarum. Springer. ISSN 0001-6969. eISSN 2064-8316. Verfügbar unter: doi: 10.1007/s44146-026-00223-ydeu
kops.sourcefield.plainActa Scientiarum Mathematicarum. Springer. ISSN 0001-6969. eISSN 2064-8316. Available under: doi: 10.1007/s44146-026-00223-yeng
relation.isAuthorOfPublicationed4223a0-a1f2-4343-bb64-f824cbf34c1f
relation.isAuthorOfPublication1334440c-fd44-4ab2-a83b-bf9d0308f277
relation.isAuthorOfPublication.latestForDiscoveryed4223a0-a1f2-4343-bb64-f824cbf34c1f
source.identifier.eissn2064-8316
source.identifier.issn0001-6969
source.periodicalTitleActa Scientiarum Mathematicarum
source.publisherSpringer
temp.internal.duplicatesitems/aa584eab-4c44-44ee-8c1d-c67d3afb6d2b;true;Certification of the Sign Regularity of Matrix Intervals
temp.internal.duplicatesitems/aa584eab-4c44-44ee-8c1d-c67d3afb6d2b;true;Certification of the Sign Regularity of Matrix Intervals
temp.internal.recheckOnline First: Metadaten vervollständigen

Dateien

Sammlungen

Mathematik und Statistik: Publikationen