The (2,2,0) group inverse problem

• Author(s): Patrício, Pedro ; Hartwig, Robert E.
• Date: 2010
• Persistent ID: http://hdl.handle.net/1822/11403
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Group inverse; Block matrices
• Document Type: Article
• Language: English

Description

We characterize the existence of the group inverse of a two by two matrix with zero (2,2) entry, over a ring by means of the existence of the inverse of a suitable function of the other three entries. Some special cases are derived.