Parallel factorizations of polynomial matrices
Conditions are established under which suggested factorizations of polynomial matrices over a field are parallel to factorizations of their canonical diagonal forms. An existence criterion of these factorizations of polynomial matrices is indicated and a method of constructing them is suggested.
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| Datum: | 2024 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8174 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512955534147584 |
|---|---|
| author | Petrichkovich , V. M. Петричкович , В. М. |
| author_facet | Petrichkovich , V. M. Петричкович , В. М. |
| author_sort | Petrichkovich , V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-02-26T13:58:10Z |
| description | Conditions are established under which suggested factorizations of polynomial matrices over a field are parallel to factorizations of their canonical diagonal forms. An existence criterion of these factorizations of polynomial matrices is indicated and a method of constructing them is suggested. |
| first_indexed | 2026-03-24T03:37:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8174 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:37:00Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/93/84344dfeb2caf5d569ef14afe9261a93.pdf |
| spelling | umjimathkievua-article-81742024-02-26T13:58:10Z Parallel factorizations of polynomial matrices Паралельні факторизації многочленних матриць Petrichkovich , V. M. Петричкович , В. М. - Conditions are established under which suggested factorizations of polynomial matrices over a field are parallel to factorizations of their canonical diagonal forms. An existence criterion of these factorizations of polynomial matrices is indicated and a method of constructing them is suggested. Установлены условия, при которых предполагаемые факторизации многочленных матриц над полем являются параллельными факторизациям их канонических диагональных форм. Указан критерий существования таких факторизаций многочленных матриц и предложен метод их построения. Встановлені умови, при яких передбачувані факторизації многочленних матриць над полем є паралельними до факторизацій їх канонічних діагональних форм. Вказано критерій існування таких факторизацій многочленних матриць та запропоновано метод їх побудови. Institute of Mathematics, NAS of Ukraine 2024-02-26 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8174 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 9 (1992); 1228-1233 Український математичний журнал; Том 44 № 9 (1992); 1228-1233 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/8174/9697 Copyright (c) 1992 V. M. Petrichkovich |
| spellingShingle | Petrichkovich , V. M. Петричкович , В. М. Parallel factorizations of polynomial matrices |
| title | Parallel factorizations of polynomial matrices |
| title_alt | Паралельні факторизації многочленних матриць |
| title_full | Parallel factorizations of polynomial matrices |
| title_fullStr | Parallel factorizations of polynomial matrices |
| title_full_unstemmed | Parallel factorizations of polynomial matrices |
| title_short | Parallel factorizations of polynomial matrices |
| title_sort | parallel factorizations of polynomial matrices |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8174 |
| work_keys_str_mv | AT petrichkovichvm parallelfactorizationsofpolynomialmatrices AT petričkovičvm parallelfactorizationsofpolynomialmatrices AT petrichkovichvm paralelʹnífaktorizacíímnogočlennihmatricʹ AT petričkovičvm paralelʹnífaktorizacíímnogočlennihmatricʹ |