The principal rank characteristic sequence over various fields

dc.contributor.author Barrett, Wayne
dc.contributor.author Butler, Steve
dc.contributor.author Catral, Minerva
dc.contributor.author Hogben, Leslie
dc.contributor.author Fallat, Shaun
dc.contributor.author Hall, H. Tracy
dc.contributor.author Hogben, Leslie
dc.contributor.author van den Driessche, P.
dc.contributor.author Young, Michael
dc.contributor.department Electrical and Computer Engineering
dc.contributor.department Mathematics
dc.date 2019-06-25T14:25:14.000
dc.date.accessioned 2020-06-30T06:00:18Z
dc.date.available 2020-06-30T06:00:18Z
dc.date.copyright Wed Jan 01 00:00:00 UTC 2014
dc.date.issued 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="http://dx.doi.org/10.1016/j.laa.2014.06.045" target="_blank">10.1016/j.laa.2014.06.045</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/math_pubs/197/
dc.identifier.articleid 1214
dc.identifier.contextkey 14394949
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath math_pubs/197
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/54586
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/math_pubs/197/2014_HogbenLeslie_PrincipalRank.pdf|||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
relation.isAuthorOfPublication 0131698a-00df-41ad-8919-35fb630b282b
relation.isOrgUnitOfPublication a75a044c-d11e-44cd-af4f-dab1d83339ff
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
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