Classification of families of pr- and epr-sequences
Xavier Martínez-Rivera · Linear and Multilinear Algebra · 2016
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 1s and the family of epr-sequences which contains an N in every subsequence of length 3.