Matrix Linear Bilateral Equations Over Different Domains, Methods for the Construction of Solutions, and Description of Their Structure-Reference-Cited by-同舟云学术

Matrix Linear Bilateral Equations Over Different Domains, Methods for the Construction of Solutions, and Description of Their Structure

Published:2024-06-27 Issue:5 Volume:282 Page:616-645
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Dzhaliuk N. S.,Petrychkovych V. M.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10958-024-07206-w.pdf

Reference64 articles.

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2. N. S. Dzhaliuk, “Existence of solution of a Sylvester-type matrix equation in a ring of block-triangular matrices,” Prykl. Probl. Mekh. Mat., Issue 19, 79–83 (2021); https://doi.org/10.15407/apmm2021.19.79-83.

3. N. S. Dzhaliuk, “Uniqueness of cell-triangular factorizations of matrices over rings of principal ideals,” Dop. Nats. Akad. Nauk Ukr., No. 1, 7–12 (2010).

4. N. S. Dzhaliuk, “Solutions of the matrix equation AX + YB = C with triangular coefficients,” Mat. Met. Fiz.-Mekh. Polya, 62, No. 2, 26−31 (2019); English translation: J. Math. Sci., 261, No. 1, 25–32 (2022); https://doi.org/10.1007/s10958-022-05734-x.

5. N. S. Dzhaliuk and V. M. Petrychkovych, “Equivalence of matrices in the ring M (n, R) and its subrings,” Ukr. Mat. Zh., 73, No. 12, 1612–1618 (2021); English translation: Ukr. Math. J., 73, No. 12, 1865–1872 (2022); https://doi.org/10.1007/s11253-022-02034-0.