dc.contributor.author Fallat, Shaun dc.contributor.author Olesky, Dale dc.contributor.author van den Driessche, Pauline dc.date.accessioned 2016-01-28T23:42:25Z dc.date.available 2016-01-28T23:42:25Z dc.date.issued 2015-08-15 dc.identifier.citation http://dx.doi.org/10.1016/j.laa.2015.08.014 en_US dc.identifier.uri http://hdl.handle.net/10294/6588 dc.description.abstract The enhanced principal rank characteristic sequence (epr-sequence) 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 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 lk=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. en_US ©2015 dc.description.sponsorship NSERC en_US dc.language.iso en en_US dc.publisher Elsevier en_US dc.subject principal rank en_US dc.subject skew-symmetric matrix en_US dc.subject minor en_US dc.subject rank en_US dc.title The enhanced principal rank characteristic sequence for skew-symmetric matrices en_US dc.type Article en_US dc.description.authorstatus Faculty en_US dc.description.peerreview yes en_US
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