When does the Moore-Penrose inverse flip?
In this paper, we give necessary and sufficient conditions for the matrix $\mxl{cc}a&0\\b&d\mxr$, over a *-regular ring, to have a Moore-Penrose inverse of four different types, corresponding to the four cases where the zero element can stand. In particular, we study the case where the Moore...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2012
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| Texto completo: | http://hdl.handle.net/1822/13783 |
| País: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/13783 |
| Resumo: | In this paper, we give necessary and sufficient conditions for the matrix $\mxl{cc}a&0\\b&d\mxr$, over a *-regular ring, to have a Moore-Penrose inverse of four different types, corresponding to the four cases where the zero element can stand. In particular, we study the case where the Moore-Penrose inverse of the matrix flips. |
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