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TitleAbout the von Neumann regularity of triangular block matrices
Author(s)Patrício, Pedro
Puystjens, Roland
KeywordsBlock matrices over rings
von Neumann regularity
Triangular Toeplitz matrices
Issue date1-Aug-2001
JournalLinear Algebra and its Applications
Citation"Linear Algebra and its Applications". ISSN 0024-3795. 332/334 (2001) 485-502.
Abstract(s)Necessary and sufficient conditions are given for the von Neumann regularity of triangular block matrices with von Neumann regular diagonal blocks over arbitrary rings. This leads to the characterization of the von Neumann regularity of a class of triangular Toeplitz matrices over arbitrary rings. Some special results and a new algorithm are derived for triangular Toeplitz matrices over commutative rings. Finally, the Drazin invertibility of some companion matrices over arbitrary rings is considered, as an application.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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