Iterative methods for computing the generalized inverses \(A^{(2)}_{T,S}\) of a matrix \(A\)
type: Item
instance of: scholarly article
title: Iterative methods for computing the generalized inverses \(A^{(2)}_{T,S}\) of a matrix \(A\)
zbMATH Open document ID: 0853.65044
DOI: 10.1016/0096-3003(96)90063-6
author: Yong-Yin Chen
published in: Applied Mathematics and Computation
publication date: 1996-07-03T00:00:00Z
review text: Iterative methods for computing a number of important generalized inverses are given. Specifically, the author considers the Moore-Penrose, weighted Moore-Penrose, Drazin, group, Bott-Duffin, weighted Drazin, and constrained generalized inverses. It is shown that a number of these generalized inverses are the so-called (2)-inverses having analogous ranges and null spaces. Several lemmas and theorems are given, and the relation of the work to the work of others on first- and \(p\)th-order Moore-Penrose generalized inverses is pointed out.
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 892442
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: Bott-Duffin inverse
zbMATH Keywords: Drazin inverse
zbMATH Keywords: group inverse
zbMATH Keywords: iterative methods
zbMATH Keywords: generalized inverses
reviewed by: R. P. Tewarson
MaRDI profile type: Publication
full work available at URL: 0096-3003(96)90063-6
OpenAlex ID: W1991717161
cites work: Q4061081
cites work: A Drazin inverse for rectangular matrices
cites work: Q3207128
cites work: The generalized Bott-Duffin inverse and its applications
description: scientific article; zbMATH DE number 892442