Further characterizations of the weak group inverse of matrices and the weak group matrix
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| Title: | Further characterizations of the weak group inverse of matrices and the weak group matrix |
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| Authors: | Hongxing Wang, Kezheng Zuo, Yang Chen, Hui Yan |
| Source: | AIMS Mathematics, Vol 6, Iss 9, Pp 9322-9341 (2021) |
| Publisher Information: | American Institute of Mathematical Sciences (AIMS), 2021. |
| Publication Year: | 2021 |
| Subject Terms: | Vector spaces, linear dependence, rank, lineability, null space, Matrix equations and identities, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), weak group inverse, 01 natural sciences, weak group matrix, rang space, core-ep decomposition, QA1-939, core-EP decomposition, Theory of matrix inversion and generalized inverses, 0101 mathematics, Mathematics |
| Description: | This paper is devoted to consider some new characteristics and properties of the weak group inverse and the weak group matrix. First, we characterize the weak group inverse of a square matrix based on its range space and null space. Also several different characterizations of the weak group inverse are presented by projection and the Bott-Duffin inverse. Then by using the core-EP decomposition, we investigate the relationships between weak group inverse and other generalized inverses. And some new characterizations of weak group matrix are obtained. |
| Document Type: | Article Other literature type |
| File Description: | application/xml |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021542 |
| Access URL: | https://zbmath.org/7536278 https://doi.org/10.3934/math.2021542 https://doaj.org/article/2569758702324242b5e873bd8b9f3370 https://www.aimspress.com/article/doi/10.3934/math.2021542 |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....d74bb89f039f0b5c879dcffe4c5fb9cc |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | This paper is devoted to consider some new characteristics and properties of the weak group inverse and the weak group matrix. First, we characterize the weak group inverse of a square matrix based on its range space and null space. Also several different characterizations of the weak group inverse are presented by projection and the Bott-Duffin inverse. Then by using the core-EP decomposition, we investigate the relationships between weak group inverse and other generalized inverses. And some new characterizations of weak group matrix are obtained. |
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| ISSN: | 24736988 |
| DOI: | 10.3934/math.2021542 |