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Positive Definite Matrix

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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)

see also:

  automatically generated 2/ 9/2005