negative definite

Let $A$ be an $n\times n$ symmetric real square matrix. If for any non-zero vector $x$ we have

we call $A$ a negative definite 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