Intervals of Special Sign Regular Matrices

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ADM, Mohammad, Jürgen GARLOFF, 2015. Intervals of Special Sign Regular Matrices

@techreport{Adm2015Inter-31960, series={Konstanzer Schriften in Mathematik}, title={Intervals of Special Sign Regular Matrices}, year={2015}, doi={10.1080/03081087.2015.1090388}, number={341}, author={Adm, Mohammad and Garloff, Jürgen}, note={Der Artikel wird erscheinen in: "Linear and Multilinear Algebra"} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/31960"> <dc:creator>Garloff, Jürgen</dc:creator> <dc:contributor>Adm, Mohammad</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-10-16T12:06:31Z</dc:date> <dc:creator>Adm, Mohammad</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-10-16T12:06:31Z</dcterms:available> <dc:language>eng</dc:language> <dcterms:rights rdf:resource="http://nbn-resolving.de/urn:nbn:de:bsz:352-20150914100631302-4485392-8"/> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/31960"/> <dc:contributor>Garloff, Jürgen</dc:contributor> <dcterms:issued>2015</dcterms:issued> <dcterms:abstract xml:lang="eng">We consider classes of n-by-n sign regular matrices, i.e., of matrices with the property that all their minors of fixed order k have one specified sign or are allowed also to vanish, k = 1, ... ,n. If the sign is nonpositive for all k, such a matrix is called totally nonpositive. The application of the Cauchon algorithm to nonsingular totally nonpositive matrices is investigated and a new determinantal test for these matrices is derived. Also matrix intervals with respect to the checkerboard partial ordering are considered. This order is obtained from the usual entry-wise ordering on the set of the n-by-n matrices by reversing the inequality sign for each entry in a checkerboard fashion. For some classes of sign regular matrices it is shown that if the two bound matrices of such a matrix interval are both in the same class then all matrices lying between these two bound matrices are in the same class, too.</dcterms:abstract> <dcterms:title>Intervals of Special Sign Regular Matrices</dcterms:title> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 16.10.2015 (Informationen über die Zugriffsstatistik)

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