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A real square matrix A {\displaystyle A} is monotone if for all real vectors v {\displaystyle v} , A v ≥ 0 {\displaystyle Av\geq 0} implies v ≥ 0 {\displaystyle v\geq 0} , where ≥ {\displaystyle \geq } is the element-wise order on R n {\displaystyle \mathbb {R} ^{n}}.
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