Definite matrix: Difference between revisions

Revision as of 17:41, 20 October 2005

Revision as of 13:19, 22 October 2005

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The Hermitian matrix <math>M</math> is said to be '''negative-definite''' if

:<math>x^{*} M x < 0\,</math>

for all non-zero <math>x \in \mathbb{R}^n</math> (or, equivalently, all non-zero <math>x \in \mathbb{C}^n</math>). It is called '''positive-semidefinite''' if