CP rank of completely positive matrices of order 5 (Q1870051)
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scientific article; zbMATH DE number 1903566
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | CP rank of completely positive matrices of order 5 |
scientific article; zbMATH DE number 1903566 |
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CP rank of completely positive matrices of order 5 (English)
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4 May 2003
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The authors prove that the completely positive (CP) rank of a \(5\times 5\) completely positive matrix which has at least one zero entry is at most 6. This supports a conjecture of \textit{J. H Drew}, \textit{C. R. Johnson}, and \textit{R. Loewy} [Linear Multilinear Algebra 37, No. 4, 303-310 (1994; Zbl 0815.15019)] for matrices of arbitrary size (and without the assumption on zero entries).
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completely positive rank
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completely positive matrix
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CP rank
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doubly nonnegative matrix
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