The copositive completion problem: Unspecified diagonal entries
| dc.contributor.author | Hogben, Leslie | |
| dc.contributor.author | Hogben, Leslie | |
| dc.contributor.department | Mathematics | |
| dc.date | 2018-02-18T06:08:43.000 | |
| dc.date.accessioned | 2020-06-30T06:00:58Z | |
| dc.date.available | 2020-06-30T06:00:58Z | |
| dc.date.copyright | Sun Jan 01 00:00:00 UTC 2006 | |
| dc.date.issued | 2007-01-01 | |
| dc.description.abstract | <p>In [L. Hogben, C.R. Johnson, R. Reams, The copositive matrix completion problem, Linear Algebra Appl. 408 (2005) 207–211] it was shown that any partial (strictly) copositive matrix all of whose diagonal entries are specified can be completed to a (strictly) copositive matrix. In this note we show that every partial strictly copositive matrix (possibly with unspecified diagonal entries) can be completed to a strictly copositive matrix, but there is an example of a partial copositive matrix with an unspecified diagonal entry that cannot be completed to a copositive matrix.</p> | |
| dc.description.comments | <p>This is a manuscript of an article from <em>Linear Algebra and its Applications </em>420 (2007): 160, doi:<a href="http://dx.doi.org/10.1016/j.laa.2006.06.022" target="_blank">10.1016/j.laa.2006.06.022</a>. Posted with permission.</p> | |
| dc.format.mimetype | application/pdf | |
| dc.identifier | archive/lib.dr.iastate.edu/math_pubs/82/ | |
| dc.identifier.articleid | 1085 | |
| dc.identifier.contextkey | 9890545 | |
| dc.identifier.s3bucket | isulib-bepress-aws-west | |
| dc.identifier.submissionpath | math_pubs/82 | |
| dc.identifier.uri | https://dr.lib.iastate.edu/handle/20.500.12876/54681 | |
| dc.language.iso | en | |
| dc.source.bitstream | archive/lib.dr.iastate.edu/math_pubs/82/2007_Hogben_CopositiveCompletion.pdf|||Sat Jan 15 02:08:01 UTC 2022 | |
| dc.source.uri | 10.1016/j.laa.2006.06.022 | |
| dc.subject.disciplines | Algebra | |
| dc.subject.disciplines | Discrete Mathematics and Combinatorics | |
| dc.subject.keywords | Copositive | |
| dc.subject.keywords | Strictly copositive | |
| dc.subject.keywords | Matrix completion | |
| dc.subject.keywords | Partial matrix | |
| dc.title | The copositive completion problem: Unspecified diagonal entries | |
| dc.type | article | |
| dc.type.genre | article | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 0131698a-00df-41ad-8919-35fb630b282b | |
| relation.isOrgUnitOfPublication | 82295b2b-0f85-4929-9659-075c93e82c48 |
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