Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online lexicon:

Positive Definite Matrix

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview
A square matrix $ A$ is called positive definite, if

$\displaystyle v^*Av > 0 \quad \forall v \neq 0 \,. $

Is $ v^*Av$ just $ \geq 0$, $ A$ is called positive semidefinite.
(Authors: Höllig/Reble/Höfert)
[Links]
  automatically generated 2/ 9/2005