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 |
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| container_end_page | 773 |
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| container_issue | 6 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 272 |
| creator | Ikramov, Kh. D. |
| description | 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. |
| doi_str_mv | 10.1007/s10958-023-06470-6 |
| format | Article |
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| identifier | ISSN: 1072-3374 |
| ispartof | Journal of mathematical sciences (New York, N.Y.), 2023-06, Vol.272 (6), p.766-773 |
| issn | 1072-3374 1573-8795 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Algorithms Congruences Mathematics Mathematics and Statistics Matrix theory |
| title | Congruences and Unitary Congruences in Matrix Theory |
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