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TitleDiagonalizing triangular matrices via orthogonal Pierce decompositions
Author(s)Hartwig, Robert E.
Patrício, Pedro
Puystjens, Roland
Triangular matrices
Von Neumann regularity
Issue date15-May-2005
JournalLinear Algebra and Its Applications
Citation“Linear algebra and its applications”. ISSN 0024-3795. 401 (2005) 381-391.
Abstract(s)A class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to a sum x + y, which is an orthogonal Pierce decomposition. This is then used to show that a lower triangular matrix, with a regular diagonal is equivalent to its diagonal iff the matrix admits a lower triangular von Neumann inverse.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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