Browsing Faculty of Science by Subject "principal rank"
Now showing items 13 of 3

The enhanced principal rank characteristic sequence
(Elsevier, 2015)The enhanced principal rank characteristic sequence (eprsequence) of a symmetric n ×n matrix is a sequence from A,S, or N according as all, some, or none of its principal minors of order k are nonzero. Such sequences give ... 
The enhanced principal rank characteristic sequence for skewsymmetric matrices
(Elsevier, 20150815)The enhanced principal rank characteristic sequence (eprsequence) was originally defined for an n ×n real symmetric matrix or an n ×n Hermitian matrix. Such a sequence is defined to be l1l2···ln where lk is A,S, or N ... 
The principal rank characteristic sequence over various fields
(Elsevier, 2014)Given an nbyn 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 ...