Further representations and computations of the generalized Moore-Penrose inverse
The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent c...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231191?viewType=HTML |
| _version_ | 1797745355741200384 |
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| author | Kezheng Zuo Yang Chen Li Yuan |
| author_facet | Kezheng Zuo Yang Chen Li Yuan |
| author_sort | Kezheng Zuo |
| collection | DOAJ |
| description | The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented. |
| first_indexed | 2024-03-12T15:22:05Z |
| format | Article |
| id | doaj.art-ae284ee1343c4a54b983b7e6c275ea0e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T15:22:05Z |
| publishDate | 2023-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ae284ee1343c4a54b983b7e6c275ea0e2023-08-11T01:35:56ZengAIMS PressAIMS Mathematics2473-69882023-07-01810234422345810.3934/math.20231191Further representations and computations of the generalized Moore-Penrose inverseKezheng Zuo0Yang Chen1Li Yuan21. School of Mathematics and Statistics, Hubei Normal University, Huangshi, China2. Department of Mathematics and Computer Science, Hanjiang Normal University, Shiyan, China2. Department of Mathematics and Computer Science, Hanjiang Normal University, Shiyan, ChinaThe aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented.https://www.aimspress.com/article/doi/10.3934/math.20231191?viewType=HTMLgeneralized moore-penrose inverserepresentationcomputation |
| spellingShingle | Kezheng Zuo Yang Chen Li Yuan Further representations and computations of the generalized Moore-Penrose inverse AIMS Mathematics generalized moore-penrose inverse representation computation |
| title | Further representations and computations of the generalized Moore-Penrose inverse |
| title_full | Further representations and computations of the generalized Moore-Penrose inverse |
| title_fullStr | Further representations and computations of the generalized Moore-Penrose inverse |
| title_full_unstemmed | Further representations and computations of the generalized Moore-Penrose inverse |
| title_short | Further representations and computations of the generalized Moore-Penrose inverse |
| title_sort | further representations and computations of the generalized moore penrose inverse |
| topic | generalized moore-penrose inverse representation computation |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231191?viewType=HTML |
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