The principal rank characteristic sequence over various fields

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dc.contributor.authorBarrett, Wayne
dc.contributor.authorButler, Steve
dc.contributor.authorCatral, Minnie
dc.contributor.authorFallat, Shaun
dc.contributor.authorHall, Tracy
dc.contributor.authorHogben, Leslie
dc.contributor.authorvan den Driessche, Pauline
dc.contributor.authorYoung, Michael
dc.date.accessioned2015-05-12T16:32:48Z
dc.date.available2015-05-12T16:32:48Z
dc.date.issued2014
dc.description.abstractGiven an n-by-n matrix, its principal rank characteristic sequence is a sequence of length n + 1 of 0s and 1s where, for k = 0; 1,..., n, a 1 in the kth position indicates the existence of a principal submatrix of rank k and a 0 indicates the absence of such a submatrix. The principal rank characteristic sequences for symmetric matrices over various fields are investigated, with all such attainable sequences determined for all n over any field with characteristic 2. A complete list of attainable sequences for real symmetric matrices of order 7 is reported.en_US
dc.description.authorstatusFacultyen_US
dc.description.peerreviewyesen_US
dc.description.sponsorshipNSERCen_US
dc.identifier.urihttps://hdl.handle.net/10294/5688
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectprincipal ranken_US
dc.subjectsymmetric matricesen_US
dc.titleThe principal rank characteristic sequence over various fieldsen_US
dc.typeArticleen_US
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