Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/3237

 Title: The Moore-Penrose inverse of a factorization Author(s): Patrício, Pedro Keywords: Matrices over ringsVon Neumann regularityMoore-Penrose invertibilityFactorizationSeparative regular rings Issue date: 2003 Publisher: Elsevier Science Inc Journal: Linear Algebra and Its Applications Abstract(s): In this paper, we consider the product of matrices $PAQ$, where $A$ is von Neumann regular and there exist $P^{\prime }$ and $Q^{\prime }$ such that $P^{\prime }PA=A=AQQ^{\prime }$. We give necessary and sufficient conditions in order to $PAQ$ be Moore-Penrose invertible, extending known characterizations. Finally, an application is given to matrices over separative regular rings. Type: Article URI: http://hdl.handle.net/1822/3237 DOI: 10.1016/S0024-3795(03)00391-4 ISSN: 0024-3795 Peer-Reviewed: yes Access: Open access Appears in Collections: CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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