The (2,2,0) group inverse problem

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.

Detalhes bibliográficos
Autor principal: Patrício, Pedro (author)
Outros Autores: Hartwig, Robert E. (author)
Formato: article
Idioma:eng
Publicado em: 2010
Assuntos:
Texto completo:http://hdl.handle.net/1822/11403
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/11403
Descrição
Resumo: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.