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The minimization of a general function subject to a set of non-linear constraints

Published online by Cambridge University Press:  24 October 2008

M. D. Bigg
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Abstract

A general method is described in this paper for the minimization of a function subject to a set of non-linear constraints. This method has been used to solve some problems in the geometry of numbers. Critical lattices of several regions have been computed and some results are given.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 3 , July 1963 , pp. 523 - 530
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Cohen, A. M., Numerical determination of lattice constants. J. London Math. Soc. 37 (1962), 185–188.Google Scholar
(2)Haselgrove, C. B., The solution of non-linear equations and of differential equations with two-point boundary conditions. Comput. J. 4 (1961), 255–259.Google Scholar