The inverse along a lower triangular matrix
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Publication:2449194
DOI10.1016/j.amc.2012.06.060zbMath1287.15001OpenAlexW2017837882MaRDI QIDQ2449194
Publication date: 7 May 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1822/20668
Theory of matrix inversion and generalized inverses (15A09) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
Related Items (10)
The one-sided inverse along an element in semigroups and rings ⋮ The (b,c)-inverse for products and lower triangular matrices ⋮ Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations ⋮ The inverse along an element in rings with an involution, Banach algebras and -algebras ⋮ Characterizations and representations of the inverse along an element ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ The reverse order law of the \((b,c)\)-inverse in semigroups ⋮ Further results on the inverse along an element in semigroups and rings ⋮ The inverse along a product and its applications ⋮ One-sided (b,c)-inverses in rings
Cites Work
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- On generalized inverses and Green's relations
- Some additive results on Drazin inverses
- On Jacobson's lemma and Drazin invertibility.
- On the Drazin index of regular elements
- Diagonalizing triangular matrices via orthogonal Pierce decompositions
- On the structure of semigroups
- Adjugates in Banach algebras
- Moore–Penrose invertibility in involutory rings: the case aa †=bb †
- GENERALIZED INVERSES OF A SUM IN RINGS
- The group inverse of a companion matrix
- About the von Neumann regularity of triangular block matrices
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