Completely positive matrices over Boolean algebras and their CP-rank
Drew, Johnson and Loewy conjectured that for n ≥ 4, the CP-rank of every n × n completely positive real matrix is at most [n2/4]. In this paper, we prove this conjecture for n × n completely positive matrices over Boolean algebras (finite or infinite). In addition,we formulate various CP-rank inequa...
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-04-01
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| Series: | Special Matrices |
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| Online Access: | http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0007/spma-2015-0007.xml?format=INT |