Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides
In this paper, we investigate the normwise condition numbers of the indefinite least squares problem with multiple right-hand sides with respect to the weighted Frobenius norm and 2-norm. The closed formulas or upper bounds for these condition numbers are presented, which extend the earlier work for...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022204?viewType=HTML |
| _version_ | 1798022035310379008 |
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| author | Limin Li |
| author_facet | Limin Li |
| author_sort | Limin Li |
| collection | DOAJ |
| description | In this paper, we investigate the normwise condition numbers of the indefinite least squares problem with multiple right-hand sides with respect to the weighted Frobenius norm and 2-norm. The closed formulas or upper bounds for these condition numbers are presented, which extend the earlier work for the indefinite least squares problem with single right-hand side. Numerical experiments are performed to illustrate the tightness of the upper bounds. |
| first_indexed | 2024-04-11T17:23:14Z |
| format | Article |
| id | doaj.art-22c089c3128641549717391817604b9d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T17:23:14Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-22c089c3128641549717391817604b9d2022-12-22T04:12:27ZengAIMS PressAIMS Mathematics2473-69882022-01-01733692370010.3934/math.2022204Normwise condition numbers of the indefinite least squares problem with multiple right-hand sidesLimin Li0College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaIn this paper, we investigate the normwise condition numbers of the indefinite least squares problem with multiple right-hand sides with respect to the weighted Frobenius norm and 2-norm. The closed formulas or upper bounds for these condition numbers are presented, which extend the earlier work for the indefinite least squares problem with single right-hand side. Numerical experiments are performed to illustrate the tightness of the upper bounds.https://www.aimspress.com/article/doi/10.3934/math.2022204?viewType=HTMLindefinite least squares problemmultiple right-hand sidesnormwise condition number |
| spellingShingle | Limin Li Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides AIMS Mathematics indefinite least squares problem multiple right-hand sides normwise condition number |
| title | Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides |
| title_full | Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides |
| title_fullStr | Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides |
| title_full_unstemmed | Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides |
| title_short | Normwise condition numbers of the indefinite least squares problem with multiple right-hand sides |
| title_sort | normwise condition numbers of the indefinite least squares problem with multiple right hand sides |
| topic | indefinite least squares problem multiple right-hand sides normwise condition number |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022204?viewType=HTML |
| work_keys_str_mv | AT liminli normwiseconditionnumbersoftheindefiniteleastsquaresproblemwithmultiplerighthandsides |