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==References== ==References==


*{{cite book | last=Berman | first=Abraham |author2=Robert J. Plemmons | title=Nonnegative Matrices in the Mathematical Sciences | year=1979 | publisher=Academic Press | isbn=0-12-092250-9}} *{{cite book |authorlink2=Robert J. Plemmons | last=Berman | first=Abraham |author2=Robert J. Plemmons | title=Nonnegative Matrices in the Mathematical Sciences | year=1979 | publisher=Academic Press | isbn=0-12-092250-9}}
* at PlanetMath * at PlanetMath



Revision as of 02:31, 22 August 2018

In mathematics, specifically linear algebra, a real matrix A is copositive if

x T A x 0 {\displaystyle x^{T}Ax\geq 0}

for every nonnegative vector x 0 {\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.

References

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