A method for finding a common linear divisor of the matrix polynomials over an arbitrary field
Conditions are found for existence of a common linear unital divisor with a given characteristic polynomial of regular matrix polynomials over an arbitrary field. The result obtained is also applied to finding a common solution of matrix polynomial equations.
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| Datum: | 1993 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5919 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512137271574528 |
|---|---|
| author | Prokip, V. M. Khudyi, M. I. Прокіп, В. М. Худий, М. І. |
| author_facet | Prokip, V. M. Khudyi, M. I. Прокіп, В. М. Худий, М. І. |
| author_sort | Prokip, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | Conditions are found for existence of a common linear unital divisor with a given characteristic polynomial of regular matrix polynomials over an arbitrary field. The result obtained is also applied to finding a common solution of matrix polynomial equations. |
| first_indexed | 2026-03-24T03:24:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5919 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:24:00Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6c/3575f0e3ae44d795d89c8b279cab0a6c.pdf |
| spelling | umjimathkievua-article-59192020-03-19T09:20:26Z A method for finding a common linear divisor of the matrix polynomials over an arbitrary field Один метод знаходження спільного лінійного дільника матричних многочленів над довільним полем Prokip, V. M. Khudyi, M. I. Прокіп, В. М. Худий, М. І. Conditions are found for existence of a common linear unital divisor with a given characteristic polynomial of regular matrix polynomials over an arbitrary field. The result obtained is also applied to finding a common solution of matrix polynomial equations. Встановлено умови існування спільного лінійного унітального дільника з заданим характеристичним многочленом регулярних матричних многочленів над довільним полем. Указано також застосування здобутого результату до знаходження спільного розв'язку матричних много- членних рівнянь. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5919 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1181–1183 Український математичний журнал; Том 45 № 8 (1993); 1181–1183 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5919/8521 https://umj.imath.kiev.ua/index.php/umj/article/view/5919/8522 Copyright (c) 1993 Prokip V. M.; Khudyi M. I. |
| spellingShingle | Prokip, V. M. Khudyi, M. I. Прокіп, В. М. Худий, М. І. A method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
| title | A method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
| title_alt | Один метод знаходження спільного лінійного дільника матричних многочленів над довільним полем |
| title_full | A method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
| title_fullStr | A method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
| title_full_unstemmed | A method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
| title_short | A method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
| title_sort | method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5919 |
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