A note on the similarity of matrix and its conjugate transpose
John C. Duke · Pacific Journal of Mathematics · 1969
It is well-known that each square matrix A over a field is similar to its transpose A τ and there exists a nonsingular symmetric matrix P for which PA T = AP.The purpose of this note is to show that if A is similar to its conjugate transpose A* then, under certain conditions, there exists a nonsingular Hermitian matrix Q for which QA* -AQ,