# copositive matrix

A copositive matrix is a real symmetric matrix $M$ such that for every real n-vector $x$ with all nonnegative components, $x^{T}Mx\geq 0$.

The set of copositive matrices is a proper cone.

## References

• 1 S. Boyd, L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004.
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