The Moore-Penrose inverse of a factorization

DOI10.1016/S0024-3795(03)00391-4zbMath1029.15001MaRDI QIDQ1405040

Pedro Patrício

Publication date: 25 August 2003

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

zbMATH Keywords

factorizationmatrices over ringsvon Neumann regularityMoore-Penrose invertibilityseparative regular rings

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09)

Related Items (13)

Drazin-Moore-Penrose invertibility in rings ⋮ A note on clean elements and inverses along an element ⋮ The Bott-Duffin \((e,f)\)-inverses and their applications ⋮ The Moore-Penrose inverse of a companion matrix ⋮ Generalized invertibility in two semigroups of a ring. ⋮ The core inverse of a product and \(2\times 2\) matrices ⋮ The core and dual core inverse of a morphism with factorization ⋮ Several characterizations for generalized inverses in a ring ⋮ Moore–Penrose invertibility in involutory rings: the case aa ^†=bb ^† ⋮ Generalized inverses of a factorization in a ring with involution ⋮ The product of operators and their the Moore-Penrose inverses on Hilbert C^*-modules ⋮ The pseudo core inverse of a lower triangular matrix ⋮ Computing Moore–Penrose Inverses with Polynomials in Matrices

Cites Work

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• Symmetric morphisms and the existence of Moore-Penrose inverses
• The Moore-Penrose inverse of a morphism with factorization
• Diagonalization of matrices over regular rings
• On a class of regular rings that are elementary divisor rings
• About the group inverse and Moore-Penrose inverse of a product
• The moore-penrose inverse of a matrix over a semi-simpie artinian ring
• More on the Souriau–Frame Algorithm and the Drazin Inverse
• The group inverse of a companion matrix
• The Moore-Penrose inverse of von Neumann regular matrices over a ring

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