negative semidefinite

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

$$x^{t}Ax\le 0,$$

we call $A$ a negative semidefinite matrix.

Title	negative semidefinite
Canonical name	NegativeSemidefinite
Date of creation	2013-03-22 12:20:14
Last modified on	2013-03-22 12:20:14
Owner	drini (3)
Last modified by	drini (3)
Numerical id	4
Author	drini (3)
Entry type	Definition
Classification	msc 15A48