Weighted singular decomposition and weighted pseudoinversion of matrices
For a rectangular real matrix, we obtain a decomposition in weighted singular numbers. On this basis, we obtain a representation of a weighted pseudoinverse matrix in terms of weighted orthogonal matrices and weighted singular numbers.
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| Datum: | 1996 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5228 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511439278571520 |
|---|---|
| author | Galba, E. F. Галба, Е. Ф. Галба, Е. Ф. |
| author_facet | Galba, E. F. Галба, Е. Ф. Галба, Е. Ф. |
| author_sort | Galba, E. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:27:31Z |
| description | For a rectangular real matrix, we obtain a decomposition in weighted singular numbers. On this basis, we obtain a representation of a weighted pseudoinverse matrix in terms of weighted orthogonal matrices and weighted singular numbers. |
| first_indexed | 2026-03-24T03:12:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5228 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:12:54Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/58/b637b369bd871dc6bafc77e605a57f58.pdf |
| spelling | umjimathkievua-article-52282020-03-18T21:27:31Z Weighted singular decomposition and weighted pseudoinversion of matrices Взвешенное сингулярное разложение и взвешенное псевдообращеиие матриц Galba, E. F. Галба, Е. Ф. Галба, Е. Ф. For a rectangular real matrix, we obtain a decomposition in weighted singular numbers. On this basis, we obtain a representation of a weighted pseudoinverse matrix in terms of weighted orthogonal matrices and weighted singular numbers. Для прямокутної дійсної матриці одержано розклад через зважені сингулярні числа. На основі цього розкладу дано зображення зваженої псевдообериеиої матриці через зважені ортогональні матриці і зважені сингулярні числа. Institute of Mathematics, NAS of Ukraine 1996-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5228 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 10 (1996); 1426-1430 Український математичний журнал; Том 48 № 10 (1996); 1426-1430 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5228/7150 https://umj.imath.kiev.ua/index.php/umj/article/view/5228/7151 Copyright (c) 1996 Galba E. F. |
| spellingShingle | Galba, E. F. Галба, Е. Ф. Галба, Е. Ф. Weighted singular decomposition and weighted pseudoinversion of matrices |
| title | Weighted singular decomposition and weighted pseudoinversion of matrices |
| title_alt | Взвешенное сингулярное разложение и взвешенное псевдообращеиие матриц |
| title_full | Weighted singular decomposition and weighted pseudoinversion of matrices |
| title_fullStr | Weighted singular decomposition and weighted pseudoinversion of matrices |
| title_full_unstemmed | Weighted singular decomposition and weighted pseudoinversion of matrices |
| title_short | Weighted singular decomposition and weighted pseudoinversion of matrices |
| title_sort | weighted singular decomposition and weighted pseudoinversion of matrices |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5228 |
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