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A Note on the Checking of Contractants

Published online by Cambridge University Press:  28 July 2016

J. Guest
J. Guest*
Affiliation:
Aeronautical Research Laboratories, Dept. of Supply, Melbourne
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Extract

Simple means of checking contractants has been devised which is considered essential to a computor.

In a recent paper Macmillan describes the method of contractants as applied to the evaluation of determinants. The method is essentially based on the extensional identity

Now, any determinant of order n may be expressed as a determinant of order n - 1, all of whose elements are third order determinants. This process is now repeated (n - 2) times until the value of the original determinant is obtained.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 60 , Issue 550 , October 1956 , pp. 685 - 686
Copyright
Copyright © Royal Aeronautical Society 1956

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References

1. Macmillan, R. H. (1955). Contractants: A New Method for the Numerical Evaluation of Determinants. Journal of the Royal Aeronautical Society, November 1955.Google Scholar
2. Aitken, A. C. (1939). Determinants and Matrices. Oliver and Boyd, 1939.Google Scholar