copositive matrix

A copositive matrixMathworldPlanetmath is a real symmetric matrixMathworldPlanetmath M such that for every real n-vector x with all nonnegative componentsPlanetmathPlanetmathPlanetmath, xTMx0.

The set of copositive matrices is a proper cone.


  • 1 S. Boyd, L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004.
Title copositive matrix
Canonical name CopositiveMatrix
Date of creation 2013-03-22 14:37:07
Last modified on 2013-03-22 14:37:07
Owner dooder0001 (4288)
Last modified by dooder0001 (4288)
Numerical id 6
Author dooder0001 (4288)
Entry type Definition
Classification msc 15A48