Congruences and Unitary Congruences in Matrix Theory

Congruences and Unitary Congruences in Matrix Theory

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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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-06, Vol.272 (6), p.766-773
1. Verfasser: Ikramov, Kh. D.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Congruences
Mathematics
Mathematics and Statistics
Matrix theory
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06470-6