Some New Bounds on the Condition Numbers of Optimally Scaled Matrices

Authors:
T. I. Fenner;G. Loizou
Affiliations:
Department of Computer Science, Brikbeck College, Malet Street, London WC1E 7HX England;Department of Computer Science, Brikbeck College, Malet Street, London WC1E 7HX England
Venue:
Journal of the ACM (JACM)
Year:
1974

Citing 2
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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.