On One Method for Factorization of Algebraic Polynomials
We propose a method for the factorization of algebraic polynomials with real or complex coefficients and construct a numerical algorithm, which, along with the factorization of a polynomial with multiple roots, solves the problem of the determination of multiplicities and the number of multiple root...
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| Datum: | 2003 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3994 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510125758873600 |
|---|---|
| author | Podlevs’kyi, B. M. Подлевський, Б. M. |
| author_facet | Podlevs’kyi, B. M. Подлевський, Б. M. |
| author_sort | Podlevs’kyi, B. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:03Z |
| description | We propose a method for the factorization of algebraic polynomials with real or complex coefficients and construct a numerical algorithm, which, along with the factorization of a polynomial with multiple roots, solves the problem of the determination of multiplicities and the number of multiple roots of the polynomial. |
| first_indexed | 2026-03-24T02:52:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3994 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:02Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/17/2f756237e993f9988f70a849d5bd3d17.pdf |
| spelling | umjimathkievua-article-39942020-03-18T20:18:03Z On One Method for Factorization of Algebraic Polynomials Про один метод розкладу алгебраїчного полінома на множники Podlevs’kyi, B. M. Подлевський, Б. M. We propose a method for the factorization of algebraic polynomials with real or complex coefficients and construct a numerical algorithm, which, along with the factorization of a polynomial with multiple roots, solves the problem of the determination of multiplicities and the number of multiple roots of the polynomial. Запропоновано метод розкладу алгебраїчного полінома з дійсними або комплексними коефіцієнтами на множники. Побудовапо числовий алгоритм, який поряд з розкладом полінома з кратними коренями на множники розв'язує задачу знаходження кратностей та кількості кратних коренів полінома. Institute of Mathematics, NAS of Ukraine 2003-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3994 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 9 (2003); 1218-1223 Український математичний журнал; Том 55 № 9 (2003); 1218-1223 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3994/4700 https://umj.imath.kiev.ua/index.php/umj/article/view/3994/4701 Copyright (c) 2003 Podlevs’kyi B. M. |
| spellingShingle | Podlevs’kyi, B. M. Подлевський, Б. M. On One Method for Factorization of Algebraic Polynomials |
| title | On One Method for Factorization of Algebraic Polynomials |
| title_alt | Про один метод розкладу алгебраїчного полінома на множники |
| title_full | On One Method for Factorization of Algebraic Polynomials |
| title_fullStr | On One Method for Factorization of Algebraic Polynomials |
| title_full_unstemmed | On One Method for Factorization of Algebraic Polynomials |
| title_short | On One Method for Factorization of Algebraic Polynomials |
| title_sort | on one method for factorization of algebraic polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3994 |
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