Some new bounds on the condition numbers of optimally scaled matrices

Fenner, Trevor and Loizou, G. (1974) Some new bounds on the condition numbers of optimally scaled matrices. Journal of the ACM 21 (3), pp. 514-524. ISSN 0004-5411.

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Official URL: https://doi.org/10.1145/321832.321849

Abstract

New lower bounds on the minimal condition numbers of a matrix with respect to both one-sided and two-sided scaling by diagonal matrices are obtained. These bounds improve certain results obtained by F. L. Bauer.

Metadata

Item Type:	Article
School:	Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
Depositing User:	Sarah Hall
Date Deposited:	23 Mar 2021 20:08
Last Modified:	09 Aug 2023 12:50
URI:	https://eprints.bbk.ac.uk/id/eprint/43640

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