Further characterizations of the weak core inverse of matrices and the weak core matrix
The present paper is devoted to characterizing the weak core inverse and the weak core matrix using the core-EP decomposition. Some new characterizations of the weak core inverse are presented by using its range space, null space and matrix equations. Additionally, we give several new representation...
| Main Authors: | , , |
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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.2022200?viewType=HTML |
| _version_ | 1798025467364638720 |
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| author | Zhimei Fu Kezheng Zuo Yang Chen |
| author_facet | Zhimei Fu Kezheng Zuo Yang Chen |
| author_sort | Zhimei Fu |
| collection | DOAJ |
| description | The present paper is devoted to characterizing the weak core inverse and the weak core matrix using the core-EP decomposition. Some new characterizations of the weak core inverse are presented by using its range space, null space and matrix equations. Additionally, we give several new representations and properties of the weak core inverse. Finally, we consider several equivalent conditions for a matrix to be a weak core matrix. |
| first_indexed | 2024-04-11T18:19:21Z |
| format | Article |
| id | doaj.art-f872ee0b0b5849faaaf7b86758c8e1ef |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T18:19:21Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-f872ee0b0b5849faaaf7b86758c8e1ef2022-12-22T04:09:49ZengAIMS PressAIMS Mathematics2473-69882022-01-01733630364710.3934/math.2022200Further characterizations of the weak core inverse of matrices and the weak core matrixZhimei Fu0Kezheng Zuo1Yang Chen2School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaSchool of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaThe present paper is devoted to characterizing the weak core inverse and the weak core matrix using the core-EP decomposition. Some new characterizations of the weak core inverse are presented by using its range space, null space and matrix equations. Additionally, we give several new representations and properties of the weak core inverse. Finally, we consider several equivalent conditions for a matrix to be a weak core matrix.https://www.aimspress.com/article/doi/10.3934/math.2022200?viewType=HTMLweak core inverseweak core matricescore-ep decompositionrange spacenull space |
| spellingShingle | Zhimei Fu Kezheng Zuo Yang Chen Further characterizations of the weak core inverse of matrices and the weak core matrix AIMS Mathematics weak core inverse weak core matrices core-ep decomposition range space null space |
| title | Further characterizations of the weak core inverse of matrices and the weak core matrix |
| title_full | Further characterizations of the weak core inverse of matrices and the weak core matrix |
| title_fullStr | Further characterizations of the weak core inverse of matrices and the weak core matrix |
| title_full_unstemmed | Further characterizations of the weak core inverse of matrices and the weak core matrix |
| title_short | Further characterizations of the weak core inverse of matrices and the weak core matrix |
| title_sort | further characterizations of the weak core inverse of matrices and the weak core matrix |
| topic | weak core inverse weak core matrices core-ep decomposition range space null space |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022200?viewType=HTML |
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