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IMA Journal of Numerical Analysis
Article . 1985 . Peer-reviewed
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Expected Conditioning

Expected conditioning
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Oxford University Press (OUP)Journal:IMA Journal of Numerical Analysis, volume 5, pages 247-273 (issn: 0272-4979, eissn: 1464-3642, Copyright policy )
Authors: Fletcher, R.;

doi: 10.1093/imanum/5.3.247

Expected Conditioning

Abstract

The author presents a stochastic analysis for condition numbers of square matrices. The expected condition analysis has desirable properties under scaling transformations, which enables the equilibration of a matrix to be carried out. An optimal scaling enables the best conditioned of all the possible equilibrated matrices to be determined.

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Keywords

Numerical computation of matrix norms, conditioning, scaling, condition matrices, condition numbers, equilibration of a matrix, overdetermined linear systems, scaling transformations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
Related to Research communities
UArctic
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