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Relaxation and Iteration

Published online by Cambridge University Press:  28 July 2016

J. Morris
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Extract

In recent years much attention has been devoted to what Professor Southwell has appropriately called relaxation (1) methods in the solution of structural problems. These methods are essentially physical applications of iteration processes for solving simultaneous equations. In this paper it is not intended to discuss the advantages or otherwise of physical relaxation as compared with analytical iteration. The object is to examine the mathematical basis of the relaxation methods and to investigate the conditions of their convergency.

Type
Research Article
Information
The Aeronautical Journal , Volume 42 , Issue 331 , July 1938 , pp. 613 - 616
Copyright
Copyright © Royal Aeronautical Society 1938

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References

1. Relaxation methods applied to engineering problems. Black & Southwell. Proc. Roy. Soc, A919, Vol. 164, February, 1938.Google Scholar
2. Differential calculus. Williamson. Chap. XVI.Google Scholar
3. On a simple method for solving simultaneous linear equations by a successive approximation process. Morris. Journal of Roy. Aer. Soc, April, 1935.Google Scholar
4. A successive approximation process for solving simultaneous linear equations. Morris. R. & M. No. 1711, H.M. Stationery Office.Google Scholar