Article,

An information-theoretic proof of Hadamard's inequality (Corresp.)

, and .
Information Theory, IEEE Transactions on, 29 (6): 930--931 (1983)
DOI: 10.1109/TIT.1983.1056751

Abstract

Hadamard's inequality follows immediately from inspection of both sides of the entropy inequality<tex>h(X_1, X_2,, cdots, X_n)leq sum h(X_i)</tex>, when<tex>(X_l, X_2,cdots, X_n)</tex>is multivariate normal.

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