Work

Jacobson’s lemma and Cline’s formula for minimal rank weak Drazin inverses

Year: 2025

Type: article

Abstract: 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.

Source: Filomat

DOI: 10.2298/fil2508557w

Authors: Cang Wu, Jianlong Chen, Yuanyuan Ke

Institutions: Nanjing Forestry University, Southeast University, Jianghan University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Jianghan University

Awards: G2155604272, G2851963007