On the \((p,q)\) outer generalized inverse in Banach algebra

DOI10.1016/j.amc.2008.12.031zbMath1167.65022OpenAlexW2164757227MaRDI QIDQ1008578

Xiaoji Liu, Jin Zhong, Dragana S. Cvetković-Ilić

Publication date: 30 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.031

zbMATH Keywords

Banach algebrarepresentationiterative methodouter generalized inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Equations involving linear operators, with operator unknowns (47A62) Linear operators on Banach algebras (47B48) Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications, The Bott-Duffin \((e,f)\)-inverses and their applications, Condensed Cramer rule for some restricted quaternion linear equations, Determinantal representation of the generalized inverses over the quaternion skew field with applications, Representations of the (b,c)-inverses in rings with involution, Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field, Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications, New results on (b, c)–inverses, Inner Generalized Inverses with Prescribed Idempotents

Cites Work

• The representation and approximations of outer generalized inverses
• Moore-Penrose inverse in rings with involution
• On integral representation of the generalized inverse \(A_{T,S}^{(2)}\).
• Condition number related with generalized inverse \(A_{T,S}^{(2)}\) and constrained linear systems
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
• Iterative methods for computing the generalized inverses \(A^{(2)}_{T,S}\) of a matrix \(A\)
• Computing generalized inverse of polynomial matrices by interpolation
• Iterative methods for computing generalized inverses
• Symbolic computation of weighted Moore-Penrose inverse using partitioning method
• (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗
• Pseudo-Inverses in Associative Rings and Semigroups
• The weighted g-Drazin inverse for operators
• A generalized Drazin inverse
• Iterative methods for computing generalized inverses related with optimization methods
• ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
• Elements of rings and Banach algebras with related spectral idempotents
• Outer Generalized Inverses in Rings
• Additive results for the generalized Drazin inverse in a Banach algebra
• On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)
• Unnamed Item
• Unnamed Item