Classification of families of pr- and epr-sequences
arXiv:1606.07495 · doi:10.1080/03081087.2016.1248345
Abstract
This paper establishes new restrictions for attainable enhanced principal rank characteristic sequences (epr-sequences). These results are then used to classify two related families of sequences that are attainable by a real symmetric matrix: the family of principal rank characteristic sequences (pr-sequences) not containing three consecutive s and the family of epr-sequences which contain an in every subsequence of length .
21 pages. The Version of Record of this manuscript has been published and is available in Linear and Multilinear Algebra (since October 26, 2016) at http://www.tandfonline.com/10.1080/03081087.2016.1248345