Can anyone provide a proof of Sylvester's criterion for positive definiteness for Hermitian matrices? All I can find is this proof and Wikipedia, both about real symmetric matrices.
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All those proofs work for Hermitian matrices if you replace $T$ with $*$ whenever it's appropriate – Ben Grossmann Dec 15 '16 at 18:16
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Check this answer http://math.stackexchange.com/questions/811387/characterization-of-positive-definite-matrix-with-principal-minors – Daniel Dec 15 '16 at 21:58