Category:Definitions/Inertia of Hermitian Matrices

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Let $\mathbf H$ be a Hermitian matrix.

The inertia of $\mathbf H$ is an ordered triple of integers comprising:

the number of positive eigenvalues of $\mathbf H$

the number of negative eigenvalues of $\mathbf H$

the number of zero eigenvalues of $\mathbf H$

in that order.