Congruence Criteria for Normal and Conjugate-Normal Matrices

Complex n×n matrices A and B are said to be T-congruent if B = S T AS and ∗-congruent if B = S ∗ AS, where S is an arbitrary nonsingular matrix. For several facts related to normal matrices and ∗-congruences, their counterparts in the theory of T-congruences concerning conjugate-normal matrices are...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-10, Vol.249 (2), p.195-198
Main Author: Ikramov, Kh. D.
Format: Article
Language:English
Subjects:
Congruences
Conjugates
Mathematics
Mathematics and Statistics
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Summary:Complex n×n matrices A and B are said to be T-congruent if B = S T AS and ∗-congruent if B = S ∗ AS, where S is an arbitrary nonsingular matrix. For several facts related to normal matrices and ∗-congruences, their counterparts in the theory of T-congruences concerning conjugate-normal matrices are found. Bibliography: 6 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04933-8