Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution
type: Item
instance of: scholarly article
title: Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution
zbMATH Open document ID: 1110.15008
DOI: 10.1007/BF02896463
author: Wenhua Kang
author: Hua Xiang
published in: Journal of Applied Mathematics and Computing
publication date: 2006-12-04T00:00:00Z
review text: This paper deals with the condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution of min\(_x\| Ax-b\| _M\), where \(A \in {\mathbb C}^m{}^\times{}^n\) is rank-deficient, \(x \in {\mathbb C}^n\), and \(M\) is a Hermitian matrix of order \(n\). In this respect the following topics are studied: the normwise condition number sensitivity, the componentwise condition numbers for the weighted Moore-Penrose inverse and the weighed least squares solution, and the level-2 condition numbers for componentwise condition numbers.
Mathematics Subject Classification ID: 15A12
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 5076937
zbMATH Keywords: linear least square problem
zbMATH Keywords: condition number
zbMATH Keywords: componentwise perturbation
reviewed by: Mihail Voicu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5076937