# Is the Kronecker or Hadamard product of many Positive Semi-Definite Hermitian matrices also PSD Hermitian? [closed]

If I have $n$ Hermitian Positive Semi-Definite matrices $A_1, A_2 ... A_n$, does there exist any type of product (viz. Kronecker, Hadamard, Tracy-Singh, etc.) that gives back a Hermitian Positive Semi-Definite matrix.

## closed as off-topic by user26857, Nosrati, Claude Leibovici, Henrik, user91500Apr 9 '17 at 9:19

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