Decomposition of polynomial matrices into a direct sum of triangular summands
By using the transformationsSA(x)R(x), whereS andR(x) are invertible matrices, we reduce a polynomial matrixA(x) whose elementary divisors are pairwise relatively prime to a direct sum of irreducible triangular summands with invariant factors on the principal diagonals.
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4709 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510874564820992 |
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| author | Shavarovskyy, B. Z. Шаваровський, Б. З. |
| author_facet | Shavarovskyy, B. Z. Шаваровський, Б. З. |
| author_sort | Shavarovskyy, B. Z. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:43Z |
| description | By using the transformationsSA(x)R(x), whereS andR(x) are invertible matrices, we reduce a polynomial matrixA(x) whose elementary divisors are pairwise relatively prime to a direct sum of irreducible triangular summands with invariant factors on the principal diagonals. |
| first_indexed | 2026-03-24T03:03:56Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4709 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:03:56Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8d/7d4622fcb1cd3c572867b4539956498d.pdf |
| spelling | umjimathkievua-article-47092020-03-18T21:11:43Z Decomposition of polynomial matrices into a direct sum of triangular summands Розклад миогочленних матриць в пряму суму трикутних доданків Shavarovskyy, B. Z. Шаваровський, Б. З. By using the transformationsSA(x)R(x), whereS andR(x) are invertible matrices, we reduce a polynomial matrixA(x) whose elementary divisors are pairwise relatively prime to a direct sum of irreducible triangular summands with invariant factors on the principal diagonals. Многочлениа матриця $A(x)$, елементарні дільники якої попарно взаємно прості, перетвореннями $SA(x)R(x)$, де $S, R (х)$ -оборотні матриці, зводиться до прямої суми незвідних трикутних доданків з інваріантними множниками на головних діагоналях. Institute of Mathematics, NAS of Ukraine 1999-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4709 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 8 (1999); 1144–1148 Український математичний журнал; Том 51 № 8 (1999); 1144–1148 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4709/6119 https://umj.imath.kiev.ua/index.php/umj/article/view/4709/6120 Copyright (c) 1999 Shavarovskyy B. Z. |
| spellingShingle | Shavarovskyy, B. Z. Шаваровський, Б. З. Decomposition of polynomial matrices into a direct sum of triangular summands |
| title | Decomposition of polynomial matrices into a direct sum of triangular summands |
| title_alt | Розклад миогочленних матриць в пряму суму трикутних доданків |
| title_full | Decomposition of polynomial matrices into a direct sum of triangular summands |
| title_fullStr | Decomposition of polynomial matrices into a direct sum of triangular summands |
| title_full_unstemmed | Decomposition of polynomial matrices into a direct sum of triangular summands |
| title_short | Decomposition of polynomial matrices into a direct sum of triangular summands |
| title_sort | decomposition of polynomial matrices into a direct sum of triangular summands |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4709 |
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