Jacobson’s lemma and Cline’s formula for minimal rank weak Drazin inverses
Minimal rank weak Drazin inverses of a square complex matrix M are solutions to the matrix equation XMk+1 = Mk with the minimal rank, covering a large class of generalized inverses. In this paper, minimal rank weak Drazin inverses of In-BA (resp. BA) are expressed in terms of that of Im-(resp. AB), where A and B are m ? n and n ? m complex matrices, respectively.
Authors
- Cang Wu (ORCID: https://orcid.org/0000-0002-5487-6361)
- Yuanyuan Ke (ORCID: https://orcid.org/0000-0003-1123-5289)
- Jianlong Chen (ORCID: https://orcid.org/0000-0002-6798-488X)
Institutions
- Nanjing Forestry University (CN)
- Jianghan University (CN)
- Southeast University (CN)
Publication Details
- Journal
- Filomat
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/fil2508557w
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Jianghan University