Estimates of the p-Norms of Solutions and Inverse Matrices of Systems of Linear Equations with a Circulant Matrix Full article
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Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
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| Output data | Year: 2024, Volume: 64, Number: 8, Pages: 1680-1688 Pages count : 9 DOI: 10.1134/s0965542524700908 | ||
| Tags | difference equation, circulant matrix, diagonal dominance, norm of the inverse matrix, solution estimate | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0015 |
Abstract:
The article considers the problem of estimating solutions and inverse matrices of systems of linear equations with a circulant matrix in the -norm, . An estimate for a diagonally dominant circulant matrix is obtained. Based on this result and the idea of decomposing a matrix into a product of matrices associated with the decomposition of a characteristic polynomial, an estimate for the general circulant matrix is proposed.
Cite:
Volkov Y.S.
, Bogdanov V.V.
Estimates of the p-Norms of Solutions and Inverse Matrices of Systems of Linear Equations with a Circulant Matrix
Computational Mathematics and Mathematical Physics. 2024. V.64. N8. P.1680-1688. DOI: 10.1134/s0965542524700908 WOS Scopus РИНЦ OpenAlex
Estimates of the p-Norms of Solutions and Inverse Matrices of Systems of Linear Equations with a Circulant Matrix
Computational Mathematics and Mathematical Physics. 2024. V.64. N8. P.1680-1688. DOI: 10.1134/s0965542524700908 WOS Scopus РИНЦ OpenAlex
Original:
Волков Ю.С.
, Богданов В.В.
Оценки p-норм решений и обратных матриц систем линейных уравнений с циркулянтной матрицей
Журнал вычислительной математики и математической физики. 2024. Т.64. №8. С.1388-1397. DOI: 10.31857/S0044466924080042 РИНЦ OpenAlex
Оценки p-норм решений и обратных матриц систем линейных уравнений с циркулянтной матрицей
Журнал вычислительной математики и математической физики. 2024. Т.64. №8. С.1388-1397. DOI: 10.31857/S0044466924080042 РИНЦ OpenAlex
Dates:
| Submitted: | Feb 7, 2024 |
| Accepted: | May 2, 2024 |
| Published print: | Sep 26, 2024 |
| Published online: | Sep 26, 2024 |
Identifiers:
| Web of science: | WOS:001324967400006 |
| Scopus: | 2-s2.0-85205382385 |
| Elibrary: | 69921014 |
| OpenAlex: | W4402883437 |