The DJL Conjecture for CP Matrices over Special Inclines
The DJL Conjecture for CP Matrices over Special Inclines
Drew, Johnson and Loewy conjectured that for $n \geq 4$, the CP-rank of every $n \times n$ completely positive real matrix is at most $\left[n^{2}/4\right]$. While this conjecture is false for completely positive real matrices, we show that this conjecture is true for $n \times n$ completely positive matrices over …