Perturbation of least squares problem in Hilbert spaces.
type: Item
instance of: scholarly article
title: Perturbation of least squares problem in Hilbert spaces.
zbMATH Open document ID: 1038.47006
DOI: 10.1016/S0096-3003(99)00271-4
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: Let \(X\), \(Y\) be two Hilbert spaces and \(T: X\to Y\) be a bounded linear operator with closed range. The authors present some estimates related to the least squares solution for the equation \(Tx= y\). One of the main tools in their analysis is the reduced minimum modulus \(r(T)\).
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 65J10
zbMATH DE Number: 1860887
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: least square solution
zbMATH Keywords: reduced minimum modulus
author: Yimin Wei
author: Guoliang Chen
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
cites work: Q4061081
cites work: Perturbation analysis of the least squares solution in Hilbert spaces
cites work: On the perturbation of the least squares solutions in Hilbert spaces
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cites work: Q4115244
cites work: On the Continuity of the Generalized Inverse
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cites work: Perturbation theory for pseudo-inverses
cites work: The perturbation of consistent least squares problems
full work available at URL: s0096-3003(99)00271-4
OpenAlex ID: W1970486973
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description: scientific article; zbMATH DE number 1860887