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- W2285703612 abstract "In 1994 Drew, Johnson and Loewy conjectured that for $n ge 4$, the cp-rank of any $ntimes n$ completely positive matrices is at most $lfloor{n^2}/{4}rfloor$. Recently this conjecture has been proved for $n=5$ and disproved for $nge 7$, leaving the case $n=6$ open. We make a step toward proving the conjecture for $n=6$. We show that if $A$ is a $6times 6$ completely positive matrix that is orthogonal to an exceptional extremal copositive matrix, then the cp-rank of $A$ is at most $9$." @default.
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- W2285703612 date "2017-01-01" @default.
- W2285703612 modified "2023-10-11" @default.
- W2285703612 title "On the DJL conjecture for order 6" @default.
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- W2285703612 doi "https://doi.org/10.7153/oam-11-05" @default.
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