negative definite

Let A be an n×n symmetricPlanetmathPlanetmath real square matrixMathworldPlanetmath. If for any non-zero vector x we have


we call A a negative definitePlanetmathPlanetmath matrix.

Title negative definite
Canonical name NegativeDefinite
Date of creation 2013-03-22 12:20:06
Last modified on 2013-03-22 12:20:06
Owner drini (3)
Last modified by drini (3)
Numerical id 4
Author drini (3)
Entry type Definition
Classification msc 15A48
Related topic PositiveDefinite
Related topic PositiveSemidefinite
Related topic QuadraticForm