The Moore-Penrose inverse of von Neumann regular matrices over a ring

DOI10.1016/S0024-3795(01)00298-1zbMath0986.15007MaRDI QIDQ5946195

Pedro Patrício

Publication date: 29 May 2002

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

zbMATH Keywords

Moore-Penrose inversediagonal factorizationsFrobenius normal formmatrices over ringsSchur factorizationvon Neumann regular matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items

Drazin-Moore-Penrose invertibility in rings ⋮ The one-sided inverse along an element in semigroups and rings ⋮ The Bott-Duffin \((e,f)\)-inverses and their applications ⋮ The (b,c)-inverse for products and lower triangular matrices ⋮ Miscellaneous reverse order laws for generalized inverses of matrix products with applications ⋮ The Generalized Inverse A⁽²⁾_{T, S}of a Matrix Over an Associative Ring ⋮ The Moore-Penrose inverse of a factorization ⋮ The Moore-Penrose inverse of a companion matrix ⋮ On matrices over an arbitrary semiring and their generalized inverses ⋮ Generalized invertibility in two semigroups of a ring. ⋮ Computation of all generalized inverses of an intuitionistic fuzzy matrix1 ⋮ Several characterizations for generalized inverses in a ring ⋮ Moore–Penrose invertibility in involutory rings: the case aa ^†=bb ^† ⋮ Linear and multilinear functional identities in a prime ring with applications ⋮ Generalized inverses of a factorization in a ring with involution ⋮ Drazin invertibility for matrices over an arbitrary ring ⋮ Generalized inverses modulo ℋ in semigroups and rings

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