Copositive matrix
= Copositive matrix
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A real <symmetric matrix> $A$ is copositive if its <quadratic form> satisfies $x^TAx\geq0$ for every $x$ in the <nonnegative orthant>. Every <positive semidefinite matrix> and every symmetric <nonnegative matrix> is copositive, as is their sum. The converse fails for the <Horn copositive matrix>.