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The enhanced principal rank characteristic sequence for skew-symmetric matrices
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fallat, Shaun M. Olesky, D. D. Driessche, Pauline Van Den |
| Copyright Year | 2016 |
| Abstract | 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 l 1 l 2 ⋯ l n where l k 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 l k = 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. |
| Starting Page | 366 |
| Ending Page | 377 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.laa.2015.08.014 |
| Volume Number | 498 |
| Alternate Webpage(s) | https://ourspace.uregina.ca/bitstream/handle/10294/6588/EPR-Skew-archive-LAA.pdf;jsessionid=2DC1C8825D0FCE2193C905A8720B073D?sequence=1 |
| Alternate Webpage(s) | https://doi.org/10.1016/j.laa.2015.08.014 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
