The principal rank characteristic sequence over various fields Barrett, Wayne Butler, Steve Catral, Minerva Hogben, Leslie Fallat, Shaun Hall, H. Tracy Hogben, Leslie van den Driessche, P. Young, Michael
dc.contributor.department Electrical and Computer Engineering
dc.contributor.department Mathematics 2019-06-25T14:25:14.000 2020-06-30T06:00:18Z 2020-06-30T06:00:18Z Wed Jan 01 00:00:00 UTC 2014 2014-10-15
dc.description.abstract <p>Given an n x 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.</p>
dc.description.comments <p>This is a manuscript of an article published as Barrett, Wayne, Steve Butler, Minerva Catral, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, Pauline van den Driessche, and Michael Young. "The principal rank characteristic sequence over various fields." <em>Linear Algebra and its Applications</em> 459 (2014): 222-236. DOI: <a href="" target="_blank">10.1016/j.laa.2014.06.045</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 1214
dc.identifier.contextkey 14394949
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath math_pubs/197
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 21:59:16 UTC 2022
dc.source.uri 10.1016/j.laa.2014.06.045
dc.subject.disciplines Discrete Mathematics and Combinatorics
dc.subject.keywords Principal rank characteristic sequence
dc.subject.keywords Minor
dc.subject.keywords Rank
dc.subject.keywords Symmetric matrix
dc.subject.keywords Hermitian matrix
dc.subject.keywords Finite field
dc.title The principal rank characteristic sequence over various fields
dc.type article
dc.type.genre article
dspace.entity.type Publication
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relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
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