Campus Units
Mathematics, Electrical and Computer Engineering
Document Type
Article
Publication Version
Accepted Manuscript
Publication Date
10-15-2014
Journal or Book Title
Linear Algebra and its Applications
Volume
459
First Page
222
Last Page
236
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
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Copyright Owner
Elsevier Inc.
Copyright Date
2014
Language
en
File Format
application/pdf
Recommended Citation
Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; and Young, Michael, "The principal rank characteristic sequence over various fields" (2014). Mathematics Publications. 197.
https://lib.dr.iastate.edu/math_pubs/197
Comments
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.