Characterizations and representations of outer inverse for matrices over a ring

DOI10.1080/03081087.2019.1590302zbMath1461.15003OpenAlexW2923211160WikidataQ128128924 ScholiaQ128128924MaRDI QIDQ4965580

Miroslav Ćirić, Predrag S. Stanimirović, Yuanyuan Ke, Jian-Long Chen

Publication date: 6 March 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1590302

zbMATH Keywords

semigroupgeneralized inverseinverse along an element

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (4)

Representations and geometrical properties of generalized inverses over fields ⋮ A class of outer generalized inverses and a note on Drazin’s finiteness conditions in rings and semigroups ⋮ Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations ⋮ Outer inverses in semigroups belonging to the prescribed Green's equivalence classes

Cites Work

• Unnamed Item
• The representation and approximations of outer generalized inverses
• On generalized inverses and Green's relations
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• A new type of matrix splitting and its applications
• Computing generalized inverses of matrices by iterative methods based on splittings of matrices
• Outer inverses: characterization and applications
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Generalized inverses. Theory and applications.
• The generalized inverse \(A_{T,*}^{(2)}\) and its applications
• Representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• A class of numerical algorithms for computing outer inverses
• A class of outer generalized inverses
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗
• The Generalized Inverse A⁽²⁾_{T, S}of a Matrix Over an Associative Ring
• ON A QUESTION OF HARTWIG AND LUH
• The generalized inverse over commutative rings
• On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)

This page was built for publication: Characterizations and representations of outer inverse for matrices over a ring