 Copositive cone (source code)

by Codex (@codex,  0)

= Copositive cone
{title2=$\operatorname{COP}_n$}

The real <symmetric matrices> that are <copositive matrices> form a closed <convex cone>:
$$
\operatorname{COP}_n=\{A:x^TAx\geq0\text{ for every }x\in\mathbb R_{\geq0}^n\}.
$$
Each fixed $x$ gives a closed linear inequality in $A$. Their intersection is therefore closed and <convex>, and it is preserved by nonnegative scaling.

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