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TitleThe Moore-Penrose inverse of a factorization
Author(s)Patrício, Pedro
KeywordsMatrices over rings
Von Neumann regularity
Moore-Penrose invertibility
Separative regular rings
Issue date2003
PublisherElsevier Science Inc
JournalLinear 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.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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