Congruence of Unitary Matrices

C. R. Johnson and S. Furtado have shown that if two unitary matrices are *-congruent, then they are unitarily similar. A counterpart of this statement concerning another type of matrix congruence, namely, the T-congruence is established. In addition, the problem of checking the T-congruence of given matrices using a finite number of arithmetic operations is discussed. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.