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The Computer Journal 1970 13(2):185-194; doi:10.1093/comjnl/13.2.185
© 1970 by British Computer Society
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Computational experience with quadratically convergent minimisation methods

B. A. Murtagh * and R. W. H. Sargent *

Imperial College, London, UK

A recently reported minimisation method allows great flexibility in choosing successive steps without losing the property of quadratic convergence, but special precautions are necessary to ensure ultimate convergence from an arbitrary point for general functions. The paper makes an analysis of the required conditions, which give rise to several possible algorithms, and results of these of a number of problems are presented and discussed.

Received March 1969.

* Imperial College, London SW7


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