Selection of regular direct summands from matrix polynomials
We study the problem of reducibility of matrix polynomials to a quasidiagonal form with regular diagonal blocks by a similarity transformation. The results obtained are applied to solving matrix algebraic equations of Riccati type.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5684 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511911291912192 |
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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 | 2020-03-19T09:15:43Z |
| description | We study the problem of reducibility of matrix polynomials to a quasidiagonal form with regular diagonal blocks by a similarity transformation. The results obtained are applied to solving matrix algebraic equations of Riccati type. |
| first_indexed | 2026-03-24T03:20:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5684 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:20:25Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/59/afec3cd420b1a4039af12d6ca6bc5759.pdf |
| spelling | umjimathkievua-article-56842020-03-19T09:15:43Z Selection of regular direct summands from matrix polynomials Виділення з матричних многочленів регулярних прямих доданків Shavarovskyy, B. Z. Шаваровський, Б. З. We study the problem of reducibility of matrix polynomials to a quasidiagonal form with regular diagonal blocks by a similarity transformation. The results obtained are applied to solving matrix algebraic equations of Riccati type. Досліджується звідність матричних многочленів перетворенням подібності до квазідіагональної форми з регулярними діагональними блоками. Одержані при цьому результати застосовуються до розв’язування матричних алгебраїчних рівнянь типу Ріккаті. Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5684 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 927–934 Український математичний журнал; Том 46 № 7 (1994); 927–934 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5684/8053 https://umj.imath.kiev.ua/index.php/umj/article/view/5684/8054 Copyright (c) 1994 Shavarovskyy B. Z. |
| spellingShingle | Shavarovskyy, B. Z. Шаваровський, Б. З. Selection of regular direct summands from matrix polynomials |
| title | Selection of regular direct summands from matrix polynomials |
| title_alt | Виділення з матричних многочленів регулярних прямих доданків |
| title_full | Selection of regular direct summands from matrix polynomials |
| title_fullStr | Selection of regular direct summands from matrix polynomials |
| title_full_unstemmed | Selection of regular direct summands from matrix polynomials |
| title_short | Selection of regular direct summands from matrix polynomials |
| title_sort | selection of regular direct summands from matrix polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5684 |
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