Dykstra's algorithm and a representation of the Moore-Penrose inverse
type: Item
instance of: scholarly article
title: Dykstra's algorithm and a representation of the Moore-Penrose inverse
zbMATH Open document ID: 1016.65031
author: Yanyan Li
published in: Journal of Approximation Theory
publication date: 2003-04-02T00:00:00Z
review text: The convergence of Lardy's series representation of the Moore-Penrose inverse of a closed unbounded linear operator is proved via Dykstra's alternating projection algorithm.
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 1891489
zbMATH Keywords: unbounded linear operators
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: generalized inverses
zbMATH Keywords: convergence
zbMATH Keywords: Lardy's series
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: Dykstra's alternating projection algorithm
reviewed by: Karel Najzar
MaRDI profile type: Publication
full work available at URL: jath.2002.3685
OpenAlex ID: W2047287557
cites work: Best approximation in inner product spaces
cites work: Spectral methods for linear inverse problems with unbounded operators
cites work: Q4090912
cites work: Q4125663
DOI: 10.1006/JATH.2002.3685
description: scientific article; zbMATH DE number 1891489