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Congruence of Unitary Matrices

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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… Click to show full abstract

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.

Keywords: congruence; congruence unitary; unitary matrices

Journal Title: Journal of Mathematical Sciences
Year Published: 2021

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