The Drazin inverse in an arbitrary semiring

DOI10.1080/03081087.2010.551660zbMath1227.15003OpenAlexW2129589282MaRDI QIDQ3090745

Qing-Wen Wang, Israr Ali Khan

Publication date: 1 September 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.551660

zbMATH Keywords

Drazin inversegroup inversesemiringcomplemented element in semiring

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Semirings (16Y60)

Related Items (8)

Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations ⋮ Explicit formulae for the greatest least-squares and minimum norm \(g\)-inverses and the unique group inverse of matrices over commutative residuated dioids ⋮ On matrices over an arbitrary semiring and their generalized inverses ⋮ Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations ⋮ Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse ⋮ Monotone linear transformations on matrices over semirings ⋮ A quick exponentiation algorithm for \(3\times 3\) block upper triangular matrices ⋮ The group invertibility of the product of two matrices over ring and its applications

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