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SIMULTANEOUS DIAGONABILITY OF A PAIR OF MATRICES: SIMILARITY AND CONGRUENCE
- Authors: Ikramov K.D1, Nazari A.M2
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Affiliations:
- Moscow State University, Department of Computational Mathematics and Cybernetics
- Arak University
- Issue: Vol 65, No 3 (2025)
- Pages: 245-250
- Section: General numerical methods
- URL: https://journals.rcsi.science/0044-4669/article/view/293536
- DOI: https://doi.org/10.31857/S0044466925030014
- EDN: https://elibrary.ru/HQXGUD
- ID: 293536
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Abstract
Suppose A and B are nondegenerate unitoids with simple canonical angles, and their co-squares commute. The relations that the matrices C and P must satisfy, are established. In congruence theory these relations can be considered as a kind of substitute for the usual permutability.
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About the authors
Kh. D Ikramov
Moscow State University, Department of Computational Mathematics and Cybernetics
Email: ikramov@cs.msu.su
Moscow, Russia
A. M Nazari
Arak University
Email: a-nazari@araku.ac.ir
Arak, Islamic Republic Iran
References
- Икрамов Х.Д., Назари А.М. Невырожденная матрица с хорошо обусловленным коквадратом: как привести ее к диагональному виду посредством конгруэнции //Ж. вычисл. матем. и матем физ. 2024. Т. 64. № 12. С. 2262-2269.
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