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Consider $\mathbf{A,B}$ two matrices which are unitary and/or Hermitian, What can we say about eigenvalues of their Hadamard product $(\mathbf{A \circ B})$?

Can we bound the eigenvalues in relation to normal matrix product $(\mathbf{AB})$

Thanks!

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  • $\begingroup$ I think Horn and Johnson mention something about this in Matrix Analysis $\endgroup$ – Santana Afton Mar 14 at 15:13
  • $\begingroup$ @SantanaAfton Can you point it out, I couldn't find any related result. $\endgroup$ – Astro Mar 14 at 15:42

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