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The Effect on the Solution of a Problem of Perturbations to the data: A Study in Interval Arithmetic†

Published online by Cambridge University Press:  03 November 2016

D. E. Bailey
D. E. Bailey*
Affiliation:
School of Mathematics, University of Bath, BA2 7AY
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Extract

It is sometimes assumed that the solution of a problem can be found to the same number of significant digits as the data. That this is not always so can be illustrated by the following example: the solution of the set of equations

123x ― 124y = 61, 248x―250y = 123

is x = 1, y = 0.5, while the solution of the perturbed set

123·01x ― 124y = 61, 248x ― 250y = 123

is x = ― 4, y = ―4·46!

Type
Research Article
Information
The Mathematical Gazette , Volume 57 , Issue 399 , February 1973 , pp. 26 - 36
Copyright
Copyright © Mathematical Association 1973

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Footnotes

†

Originally given as a talk to the junior section of the Bristol Branch of the Association.

References

† Originally given as a talk to the junior section of the Bristol Branch of the Association.