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Congruences and Unitary Congruences in Matrix Theory

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This paper is a review of basic facts related to important matrix transformations such as congruence, pseudo-similarity, and unitary congruence. We formulate the concept of a rational algorithm and discuss the question of which problems in the congruence theory can be solved by rational algorithms.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, Russia

    Kh. D. Ikramov

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  1. Kh. D. Ikramov
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Correspondence to Kh. D. Ikramov.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 175, Proceedings of the XVII All-Russian Youth School-Conference “Lobachevsky Readings-2018,” November 23-28, 2018, Kazan. Part 1, 2020.

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Ikramov, K.D. Congruences and Unitary Congruences in Matrix Theory. J Math Sci 272, 766–773 (2023). https://doi.org/10.1007/s10958-023-06470-6

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  • DOI: https://doi.org/10.1007/s10958-023-06470-6

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