Bibliographic Details
| Title: |
Further properties and representations of the W-weighted m-weak group inverse |
| Authors: |
Gao, Jiale, Wang, Qing-Wen, Zuo, Kezheng |
| Publication Year: |
2023 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Rings and Algebras, Mathematics - Functional Analysis, 15A09, 15A24 |
| More Details: |
The purpose of this paper is to explore more properties and representations of the W-weighted m-weak group (in short, W-m-WG) inverse. We first explore an interesting relation between two projectors with respect to the W-m-WG inverse. Then, the W-m-WG inverse is represented by various generalized inverses including W-weighted Drazin inverse, W-weighted weak group inverse, W-weighted core inverse, etc. We also give three concise explicit expressions for the W-m-WG inverse. Moreover, a canonical form of the W-m-WG inverse is presented in terms of the singular value decomposition. Finally, several numerical examples are designed to illustrate some results given in the paper.
Comment: 20 pages, 0 figure |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2312.10704 |
| Accession Number: |
edsarx.2312.10704 |
| Database: |
arXiv |
