Comparison results for proper nonnegative splittings of matrices
type: Item
instance of: scholarly article
title: Comparison results for proper nonnegative splittings of matrices
zbMATH Open document ID: 1360.65097
author: Alekha Kumar Baliarsingh
author: Debasisha Mishra
published in: Results in Mathematics
publication date: 2017-02-22T00:00:00Z
review text: The authors extend the development of structured condition numbers with respect to perturbations of the parameters to the fundamental case of the solutions of systems of linear equations with low-rank structured coefficient matrices, and prove that the solutions may be much better conditioned with respect to perturbations of the parameters than with respect to perturbations of the entries of the matrix and that the opposite cannot happen.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 6687968
zbMATH Keywords: condition numbers
zbMATH Keywords: linear systems
zbMATH Keywords: low-rank structured matrices
zbMATH Keywords: quasiseparable matrices
zbMATH Keywords: quasiseparable representation
zbMATH Keywords: Givens-vector representation
MaRDI profile type: Publication
full work available at URL: s00025-015-0504-9
OpenAlex ID: W2243382184
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DOI: 10.1007/S00025-015-0504-9
description: scientific article; zbMATH DE number 6687968