The generalized superoptimal preconditioner
type: Item
instance of: scholarly article
title: The generalized superoptimal preconditioner
zbMATH Open document ID: 1182.65052
author: Jianlong Chen
author: Xiao-Qing Jin
published in: Linear Algebra and its Applications
publication date: 2009-12-18T00:00:00Z
review text: The authors study the preconditioner \(t_{F}(A)\) introduced by \textit{E. Tyrtyshnikov} [SIAM J. Matrix Anal. Appl. 13, No.~2, 459--473 (1992; Zbl 0774.65024)] in a general case by using the Moore-Penrose inverse. The paper also provides a spectral relation between the optimal and superoptimal preconditioned matrices in the general case.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65F08
zbMATH DE Number: 5650031
zbMATH Keywords: optimal preconditioner
zbMATH Keywords: superoptimal preconditioner
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: semi-stability
zbMATH Keywords: spectral relation
MaRDI profile type: Publication
full work available at URL: j.laa.2009.06.045
OpenAlex ID: W2075546333
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DOI: 10.1016/J.LAA.2009.06.045
description: scientific article; zbMATH DE number 5650031