Criterion of the solvability of matrix equations of the Lyapunov type
By using the theory of generalized inverse operators, we establish a criterion of the solvability of the Lyapunov-type matrix equations AX - XB = D and X - AXB = D and investigate the structure of the set of their solutions.
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| Date: | 1998 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4851 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511028803010560 |
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| author | Boichuk, О. A. Krivosheya, S. A. Бойчук, О. А. Кривошея, С. А. |
| author_facet | Boichuk, О. A. Krivosheya, S. A. Бойчук, О. А. Кривошея, С. А. |
| author_sort | Boichuk, О. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:53Z |
| description | By using the theory of generalized inverse operators, we establish a criterion of the solvability of the Lyapunov-type matrix equations AX - XB = D and X - AXB = D and investigate the structure of the set of their solutions. |
| first_indexed | 2026-03-24T03:06:23Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4851 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:06:23Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f4/9895522f9268b837d54bc4593b9e73f4.pdf |
| spelling | umjimathkievua-article-48512020-03-18T21:15:53Z Criterion of the solvability of matrix equations of the Lyapunov type Критерій розв'язності матричиих рівнянь типу Ляпунова Boichuk, О. A. Krivosheya, S. A. Бойчук, О. А. Кривошея, С. А. By using the theory of generalized inverse operators, we establish a criterion of the solvability of the Lyapunov-type matrix equations AX - XB = D and X - AXB = D and investigate the structure of the set of their solutions. За допомогою теорії узагальнено обернених операторів одержано критерій розв'язності та досліджено структуру множини розв'язків матричних рівнянь $AX - XB = D$ та $ X - AXB = D$ типу Ляпунова. Institute of Mathematics, NAS of Ukraine 1998-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4851 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 8 (1998); 1021–1026 Український математичний журнал; Том 50 № 8 (1998); 1021–1026 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4851/6401 https://umj.imath.kiev.ua/index.php/umj/article/view/4851/6402 Copyright (c) 1998 Boichuk О. A.; Krivosheya S. A. |
| spellingShingle | Boichuk, О. A. Krivosheya, S. A. Бойчук, О. А. Кривошея, С. А. Criterion of the solvability of matrix equations of the Lyapunov type |
| title | Criterion of the solvability of matrix equations of the Lyapunov type |
| title_alt | Критерій розв'язності матричиих рівнянь типу Ляпунова |
| title_full | Criterion of the solvability of matrix equations of the Lyapunov type |
| title_fullStr | Criterion of the solvability of matrix equations of the Lyapunov type |
| title_full_unstemmed | Criterion of the solvability of matrix equations of the Lyapunov type |
| title_short | Criterion of the solvability of matrix equations of the Lyapunov type |
| title_sort | criterion of the solvability of matrix equations of the lyapunov type |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4851 |
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