Diagonalizing triangular matrices via orthogonal Pierce decompositions

DOI10.1016/j.laa.2004.10.002zbMath1074.15006OpenAlexW1967868901MaRDI QIDQ1779405

Robert E. Hartwig, Roland Puystjens, Pedro Patrício

Publication date: 1 June 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1822/1249

zbMATH Keywords

ringsdiagonalizationvon Neumann regularitytriangular matricesvon Neumann inversePierce decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Canonical forms, reductions, classification (15A21)

Related Items (4)

Constructing and counting regular triangular matrices ⋮ Some regular sums ⋮ Invariance under outer inverses ⋮ The inverse along a lower triangular matrix

Cites Work

• Generalized inverses of a sum with a radical element
• On finite regular rings
• The matrix equation \(AX-YB=C\)
• The generalized inverse of a sum with radical element: Applications
• Roth's Equivalence Problem in Unit Regular Rings
• The group inverse of a companion matrix
• About the von Neumann regularity of triangular block matrices

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