A self-correcting matrix iteration for the Moore-Penrose generalized inverse
type: Item
instance of: scholarly article
title: A self-correcting matrix iteration for the Moore-Penrose generalized inverse
zbMATH Open document ID: 0856.65039
DOI: 10.1016/0024-3795(94)00306-8
author: William H. Pierce
published in: Linear Algebra and its Applications
publication date: 1997-02-24T00:00:00Z
review text: Iterative algorithms of finding the Moore-Penrose generalized inverse of a singular matrix are considered. The popular algorithm \(X_{k+1} = X_k(2I-AX_k)\) has a first-order error component, where \(X_k\) is the \(k\)-th iterate. The more complicated algorithm presented in this paper has no first-order error component for general \(A\) and \(X_k\). The paper is also a good survey of iterative methods for computing the Moore-Penrose inverse of a matrix.
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 931953
zbMATH Keywords: iterative algorithms
zbMATH Keywords: Moore-Penrose generalized inverse
zbMATH Keywords: singular matrix
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00306-8
OpenAlex ID: W2023713450
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description: scientific article; zbMATH DE number 931953