Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416098 | Linear Algebra and its Applications | 2016 | 12 Pages |
Abstract
The enhanced principal rank characteristic sequence (epr-sequence) was originally defined for an nÃn real symmetric matrix or an nÃn Hermitian matrix. Such a sequence is defined to be â1â2â¯ân where âk is A, S, or N depending on whether all, some, or none of the matrix principal minors of order k are nonzero. Here we give a complete characterization of the attainable epr-sequences for real skew-symmetric matrices. With the constraint that âk=0 if k is odd, we show that nearly all epr-sequences are attainable by skew-symmetric matrices, which is in contrast to the case of real symmetric or Hermitian matrices for which many epr-sequences are forbidden.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shaun M. Fallat, Dale D. Olesky, Pauline van den Driessche,