A real matrix $\rm A$ is copositive if $\rm x^{\top} A , x \geq 0$ for every $\rm x\geq 0$.
In mathematics, specifically linear algebra, a real matrix $A$ is copositive if $$\displaystyle x^{T}Ax\geq0$$ for every nonnegative vector ${\displaystyle x\geq 0}$. The collection of all copositive matrices is a proper cone; it includes as a subset the collection of real positive-definite matrices.
Copositive matrices find applications in economics, operations research, and statistics.