Copositive matrix
From HandWiki
In mathematics, specifically linear algebra, a real matrix A is copositive if
- [math]\displaystyle{ x^TAx\geq 0 }[/math]
for every nonnegative vector [math]\displaystyle{ x\geq 0 }[/math]. 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.
References
- Berman, Abraham; Robert J. Plemmons (1979). Nonnegative Matrices in the Mathematical Sciences. Academic Press. ISBN 0-12-092250-9. https://archive.org/details/nonnegativematri0000berm.
- Copositive matrix at PlanetMath
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