The Generalized Inverse A(2)T, Sof a Matrix Over an Associative Ring

DOI10.1017/S1446788700038015zbMath1142.15008OpenAlexW2141482498MaRDI QIDQ3507546

Yaoming Yu, Guo-rong Wang

Publication date: 20 June 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700038015

zbMATH Keywords

Drazin inversegeneralized inverseMoore-Penrose inversegroup inverseassociative ring

Mathematics Subject Classification ID

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

Related Items

The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications, Condensed Cramer rule for some restricted quaternion linear equations, Determinantal representation of the generalized inverses over the quaternion skew field with applications, Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field, The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) over a skew field, Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications, Characterizations and representations of outer inverse for matrices over a ring, The Drazin inverse in an arbitrary semiring, DFT calculation for the \(\{2\}\)-inverse of a polynomial matrix with prescribed image and kernel, The outer inverse f(2)T,S of a homomorphism of right R-modules

Cites Work

• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Drazin invertibility for matrices over an arbitrary ring
• 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 generalized inverse over commutative rings
• The Moore-Penrose inverse of von Neumann regular matrices over a ring