Total Nonnegativity of the Extended Perron Complement

dc.contributor.authorAdm, Mohammad
dc.contributor.authorGarloff, Jürgen
dc.date.accessioned2016-07-19T15:21:51Z
dc.date.available2016-07-19T15:21:51Z
dc.date.issued2016eng
dc.description.abstractA real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper the extended Perron complement of a principal submatrix in a matrix A is investigated. In extension of known results it is shown that if A is irreducible and totally nonnegative and the principal submatrix consists of some specified consecutive rows then the extended Perron complement is totally nonnegative. Also inequalities between minors of the extended Perron complement and the Schur complement are presented.eng
dc.description.versionacceptedde
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/34841.1
dc.language.isoengeng
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectTotally nonnegative matrix, Perron complement, extended Perron complement, Schur complementeng
dc.subject.ddc510
dc.titleTotal Nonnegativity of the Extended Perron Complementeng
dc.typeJOURNAL_ARTICLEde
dspace.entity.typePublication
kops.description.openAccessopenaccessgreen
kops.flag.knbibliographytrue
kops.flag.quicksubmissiontruede
source.identifier.eissn1873-1856
source.identifier.issn0024-3795
source.periodicalTitleLinear Algebra and Its Applicationseng
temp.submission.doi
temp.submission.source

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