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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 10, Pages 1656–1663
DOI: https://doi.org/10.31857/S0044466920100099 (Mi zvmmf11141) 		 
General numerical methods

A heuristic rational algorithm for checking the congruence of normal matrices

S. D. Ikramova, A. M. Nazarib

a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Faculty of Mathematics, Arak University, Arak, Islamic Republic Iran
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DOI: https://doi.org/10.31857/S0044466920100099
Abstract: A finite algorithm that uses arithmetic operations only is said to be rational. There exist rational methods for checking the congruence of a pair of Hermitian matrices or a pair of unitary ones. We propose a rational algorithm for checking the congruence of general normal matrices.
Key words: congruence, unitoid, cosquare, similarity, Toeplitz decomposition, indices of inertia, Pythagorean triples, Maple, circulants.
Received: 28.02.2020
Revised: 28.02.2020
Accepted: 09.06.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 10, Pages 1601–1608
DOI: https://doi.org/10.1134/S0965542520100097
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: S. D. Ikramov, A. M. Nazari, “A heuristic rational algorithm for checking the congruence of normal matrices”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1656–1663; Comput. Math. Math. Phys., 60:10 (2020), 1601–1608
Citation in format AMSBIB
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