Sylvester's formula: Difference between revisions

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In mathematics, specifically [[linear algebra]], a [[real number|real]] [[matrix (mathematics)|matrix]] ''A'' is '''copositive''' if
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:<math>x^TAx\geq 0</math>
for every nonnegative vector <math>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 matrix|positive-definite matrices]].
 
Copositive matrices find applications in economics, [[operations research]], and statistics.
 
==References==
 
*{{cite book | last=Berman | first=Abraham | coauthors=Robert J. Plemmons | title=Nonnegative Matrices in the Mathematical Sciences | year=1979 | publisher=Academic Press | isbn=0-12-092250-9}}
*[http://planetmath.org/?op=getobj&from=objects&id=6197 Copositive matrix] at PlanetMath
 
[[Category:Matrices]]

Latest revision as of 22:12, 12 December 2014

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