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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 504, Pages 47–53
(Mi znsl7109)
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On matrices with pairwise orthogonal rows and columns
Kh. D. Ikramov Lomonosov Moscow State University
Abstract:
We discuss possible forms of square matrices whose rows are pairwise orthogonal and the same is true of their columns. This discussion is applied to the problem of conditions under which a nonsingular binormal matrix is unitoid. A square matrix $A$ is said to be binormal if the matrices $AA^*$ and $A^*A$ commute. A square matrix is said to be unitoid if it can be brought to diagonal form by a (Hermitian) congruence.
Key words and phrases:
normal matrices, binormal matrices, congruences, cosquares, unitoid matrices.
Received: 21.09.2021
Citation:
Kh. D. Ikramov, “On matrices with pairwise orthogonal rows and columns”, Computational methods and algorithms. Part XXXIV, Zap. Nauchn. Sem. POMI, 504, POMI, St. Petersburg, 2021, 47–53
Linking options:
https://www.mathnet.ru/eng/znsl7109 https://www.mathnet.ru/eng/znsl/v504/p47
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Statistics & downloads: |
Abstract page: | 115 | Full-text PDF : | 52 | References: | 32 |
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