Drazin invertibility for matrices over an arbitrary ring

DOI10.1016/S0024-3795(03)00618-9zbMath1056.15005MaRDI QIDQ1827502

Maria Celeste Gouveia, Roland Puystjens

Publication date: 6 August 2004

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

zbMATH Keywords

Drazin inversecompanion matrixringsDrazin invertibilitylower triangular Toeplitz matricesgroup invertibility

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (17)

THE LINK BETWEEN REGULARITY AND STRONG-PI-REGULARITY ⋮ Drazin-Moore-Penrose invertibility in rings ⋮ The Generalized Inverse A⁽²⁾_{T, S}of a Matrix Over an Associative Ring ⋮ Drazin and group invertibility in algebras spanned by two idempotents ⋮ 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 ⋮ Characterizations for pseudo core inverses in a ring with involution ⋮ Characterizations of m-EP elements in rings ⋮ Characterizations for the n-strong Drazin invertibility in a ring ⋮ About the von Neumann regularity of triangular block matrices ⋮ Additive property of Drazin invertibility of elements in a ring ⋮ Some additive results on Drazin inverses ⋮ The group invertibility of the product of two matrices over ring and its applications ⋮ The Drazin inverse in an arbitrary semiring ⋮ Generalized inverses and their relations with clean decompositions ⋮ The pseudo core inverse of a lower triangular matrix

Cites Work

• Generalized inverses over integral domains. II: Group inverses and Drazin inverses
• Symmetric morphisms and the existence of Moore-Penrose inverses
• On generalized inverses of boolean matrices. II
• About the group inverse and Moore-Penrose inverse of a product
• Pseudo-Inverses in Associative Rings and Semigroups
• The group inverse of a companion matrix
• The Moore-Penrose inverse of von Neumann regular matrices over a ring
• About the von Neumann regularity of triangular block matrices
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