The iterative methods for computing the generalized inverse \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces

DOI10.1016/j.amc.2009.04.007zbMath1175.65063OpenAlexW2027967385MaRDI QIDQ833127

Xiaoji Liu, Yaoming Yu, Chunmei Hu

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.007

zbMATH Keywords

Banach spaceserror boundsiterative methodDrazin inversegeneralized inversesMoore-Penrose inverselinear operatorsBott-Duffin inverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (9)

Neural network approach to computing outer inverses based on the full rank representation ⋮ Note on the iterative methods for computing the generalized inverse over Banach spaces ⋮ The expression of the generalized Drazin inverse of \(A - CB\) ⋮ Successive matrix squaring algorithm for computing the generalized inverse \(A^{(2)}_{T, S}\) ⋮ On convergents infinite products and some generalized inverses of matrix sequences ⋮ Recurrent Neural Network for Computing Outer Inverse ⋮ The iterative methods for \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces ⋮ Further results on iterative methods for computing generalized inverses ⋮ Higher-order convergent iterative method for computing the generalized inverse over Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The representation and approximations of outer generalized inverses
• Representation and approximate for generalized inverse \(A_{T,S}^{(2)}\): revisited
• PCR algorithm for parallel computing the solution of the general restricted linear equations
• Iterative methods for computing generalized inverses and splittings of operators
• A note on the representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• Iterative methods for the Drazin inverse of a matrix with a complex spectrum.
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
• The hyperpower iteration revisited
• Iterative methods for computing the generalized inverses \(A^{(2)}_{T,S}\) of a matrix \(A\)
• Representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• Iterative methods for computing generalized inverses
• The representation and computation of generalized inverse \(A^{(2)}_{T,S}\)
• (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗
• On the Generalized Drazin Inverse and Generalized Resolvent
• Determinantal representation of the generalized inverse\bi A_{T,S}^{(2)}over integral domains and its applications
• Several representations of generalized inverse and their application
• The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces
• Iterative methods for computing generalized inverses related with optimization methods
• Outer Generalized Inverses in 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: The iterative methods for computing the generalized inverse \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces