Construction of unital matrix polynomials with mutually distinct characteristic roots
We investigate the construction of unital matrix polynomials with mutually distinct characteristic roots, namely, their similarity and reducibility by the similarity transformation to block-triangular, block-diagonal, and, in particular, to triangular and diagonal forms. We also study the problem of...
Збережено в:
| Дата: | 1993 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5784 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512008319795200 |
|---|---|
| author | Mel'nyk, O. M. Мельник, О. М. Мельник, О. М. |
| author_facet | Mel'nyk, O. M. Мельник, О. М. Мельник, О. М. |
| author_sort | Mel'nyk, O. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:36:28Z |
| description | We investigate the construction of unital matrix polynomials with mutually distinct characteristic roots, namely, their similarity and reducibility by the similarity transformation to block-triangular, block-diagonal, and, in particular, to triangular and diagonal forms. We also study the problem of extracting linear factors. |
| first_indexed | 2026-03-24T03:21:57Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5784 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:57Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b0/b297c11ec0313e6939c56f3536c9c9b0.pdf |
| spelling | umjimathkievua-article-57842020-03-19T09:36:28Z Construction of unital matrix polynomials with mutually distinct characteristic roots Строение унитальных матричных многочленов с попарно различными характеристическими корнями Mel'nyk, O. M. Мельник, О. М. Мельник, О. М. We investigate the construction of unital matrix polynomials with mutually distinct characteristic roots, namely, their similarity and reducibility by the similarity transformation to block-triangular, block-diagonal, and, in particular, to triangular and diagonal forms. We also study the problem of extracting linear factors. Для унитальных матричных многочленов с попарно различными характеристическими корнями исследована задача их строения: подобия, приводимости преобразованием подобия к блочно- треугольному, блочно-диагональному, в частности треугольному и диагональному видам, а так же выделения линейных множителей. Institute of Mathematics, NAS of Ukraine 1993-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5784 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 1 (1993); 69–76 Український математичний журнал; Том 45 № 1 (1993); 69–76 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5784/8252 https://umj.imath.kiev.ua/index.php/umj/article/view/5784/8253 Copyright (c) 1993 Mel'nyk O. M. |
| spellingShingle | Mel'nyk, O. M. Мельник, О. М. Мельник, О. М. Construction of unital matrix polynomials with mutually distinct characteristic roots |
| title | Construction of unital matrix polynomials with mutually distinct characteristic roots |
| title_alt | Строение унитальных матричных многочленов с попарно различными характеристическими корнями |
| title_full | Construction of unital matrix polynomials with mutually distinct characteristic roots |
| title_fullStr | Construction of unital matrix polynomials with mutually distinct characteristic roots |
| title_full_unstemmed | Construction of unital matrix polynomials with mutually distinct characteristic roots |
| title_short | Construction of unital matrix polynomials with mutually distinct characteristic roots |
| title_sort | construction of unital matrix polynomials with mutually distinct characteristic roots |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5784 |
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