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The principal rank characteristic sequence over various fields
| Content Provider | Semantic Scholar |
|---|---|
| Author | Barrett, Wayne Butler, Steve Catral, M. Fallat, Shaun M. Hall, H. Tracy Hogben, Leslie Driessche, Pauline Van Den Young, Michael |
| Copyright Year | 2014 |
| Abstract | Abstract Given an n × n 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 k and a 0 indicates the absence of such a submatrix. The principal rank characteristic sequences for symmetric matrices over various fields are investigated, with all such attainable sequences determined for all n over any field with characteristic 2. A complete list of attainable sequences for real symmetric matrices of order 7 is reported. |
| Starting Page | 222 |
| Ending Page | 236 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.laa.2014.06.045 |
| Volume Number | 459 |
| Alternate Webpage(s) | http://ourspace.uregina.ca/bitstream/handle/10294/5688/prsequencesrevised.pdf;jsessionid=BDC6AA050848227DB01DE98D914D53BB?sequence=1 |
| Alternate Webpage(s) | https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=1214&context=math_pubs |
| Alternate Webpage(s) | http://orion.math.iastate.edu/lhogben/research/prseq.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.laa.2014.06.045 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
