Hua’s Matrix Equality and Schur Complements
نویسندگان
چکیده
The purpose of this paper is to revisit Hua’s matrix equality (and inequality) through the Schur complement. We present Hua’s original proof and two new proofs with some extensions of Hua’s matrix equality and inequalities. The new proofs use a result concerning Schur complements and a generalization of Sylvester’s law of inertia, each of which is useful in its own right.
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