positive semidefinite

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

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

we call $A$ a positive semidefinite matrix.

Title	positive semidefinite
Canonical name	PositiveSemidefinite
Date of creation	2013-03-22 12:20:10
Last modified on	2013-03-22 12:20:10
Owner	drini (3)
Last modified by	drini (3)
Numerical id	5
Author	drini (3)
Entry type	Definition
Classification	msc 15A48
Related topic	PositiveDefinite
Related topic	NegativeDefinite