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On Errors in Determinants

Published online by Cambridge University Press:  20 January 2009

I. M. H. Etherington
I. M. H. Etherington
Affiliation:
Edinburgh University.
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§1. Introduction. Care is needed in dealing with determinants whose elements are subject to experimental error, particularly when a determinant itself is small compared with its first minors. For, as these examples show, a relatively tiny error in one element may be responsible for a large error in the determinant

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 3 , Issue 2 , July 1932 , pp. 107 - 117
Copyright
Copyright © Edinburgh Mathematical Society 1932

References

page 107 note 1 There is also a method suitable for use with a calculating machine, due to Dr Aitken, and as yet unpublished.

page 112 note 1 The notation means that the determinants have these as i th rows. The determinants are identical except in their first columns. As pointed out in § 1, such quotients occur in the solution of a set of n simultaneous linear equations.