Article
The principal rank characteristic sequence over various fields
Linear Algebra and its Applications
Document Type
Article
Disciplines
Publication Version
Accepted Manuscript
Publication Date
10-15-2014
DOI
10.1016/j.laa.2014.06.045
Abstract
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.
Creative Commons License
Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International
Copyright Owner
Elsevier Inc.
Copyright Date
2014
Language
en
File Format
application/pdf
Citation Information
Wayne Barrett, Steve Butler, Minerva Catral, Shaun M. Fallat, et al.. "The principal rank characteristic sequence over various fields" Linear Algebra and its Applications Vol. 459 (2014) p. 222 - 236 Available at: http://works.bepress.com/leslie-hogben/92/
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." Linear Algebra and its Applications 459 (2014): 222-236. DOI: 10.1016/j.laa.2014.06.045. Posted with permission.