On the \((p,q)\) outer generalized inverse in Banach algebra
type: Item
instance of: scholarly article
title: On the \((p,q)\) outer generalized inverse in Banach algebra
zbMATH Open document ID: 1167.65022
author: Xiaoji Liu
author: Jin Zhong
author: Dragana Cvetković-Ilić
published in: Applied Mathematics and Computation
publication date: 2009-03-30T00:00:00Z
review text: The authors work with the notion of \((p,q)\) outer generalized inverse in a Banach algebra, defined by \textit{D. S. Djordjević} and \textit{Y. Wei} [Commun. Algebra 33, No.~9, 3051--3060 (2005; Zbl 1111.15007)]. A new representation and an iterative method for computing the \((p,q)\) outer generalized inverse in a Banach algebra are considered.
reviewed by: Martín Argerami
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47A62
zbMATH DE Number: 5534853
zbMATH Keywords: outer generalized inverse
zbMATH Keywords: Banach algebra
zbMATH Keywords: representation
zbMATH Keywords: iterative method
MaRDI profile type: Publication
full work available at URL: j.amc.2008.12.031
OpenAlex ID: W2164757227
cites work: Moore-Penrose inverse in rings with involution
cites work: The weighted g-Drazin inverse for operators
cites work: ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
cites work: Q4944130
cites work: A generalized Drazin inverse
cites work: Pseudo-Inverses in Associative Rings and Semigroups
cites work: Elements of rings and Banach algebras with related spectral idempotents
cites work: Symbolic computation of weighted Moore-Penrose inverse using partitioning method
cites work: Computing generalized inverse of polynomial matrices by interpolation
cites work: Additive results for the generalized Drazin inverse in a Banach algebra
cites work: Q3767861
cites work: Iterative methods for computing the generalized inverses \(A^{(2)}_{T,S}\) of a matrix \(A\)
cites work: Iterative methods for computing generalized inverses
cites work: Iterative methods for computing generalized inverses related with optimization methods
cites work: Outer Generalized Inverses in Rings
cites work: The representation and approximations of outer generalized inverses
cites work: The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
cites work: On integral representation of the generalized inverse \(A_{T,S}^{(2)}\).
cites work: Condition number related with generalized inverse \(A_{T,S}^{(2)}\) and constrained linear systems
cites work: (T,S) splitting methods for computing the generalized inverse and rectangular systems∗
cites work: On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)
cites work: A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
DOI: 10.1016/J.AMC.2008.12.031
description: scientific article; zbMATH DE number 5534853