A Canonical Form for Hermitian Matrices under Complex Orthogonal Congruence
Yoopyo Hong · SIAM Journal on Matrix Analysis and Applications · 1989
It is shown that a Hermitian matrix can be reduced to a Hermitian canonical form by a complex orthogonal congruence. As a consequence, a short proof is given showing that a nonsingular symmetric matrix and a Hermitian matrix can be simultaneously reduced to the identity matrix and a Hermitian canonical form by complex orthogonal T- and $ * $-congruences, respectively.