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On the solution of a structured nonlinear programme

Published online by Cambridge University Press:  17 February 2009

L. T. M. Berry
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, S.A., 5000, Australia.
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Abstract

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Explicit formulae are derived for the projected gradient vector and trial dual variables required in the application of Rosen's method [4] to the solution of a Minimum Cost Network problem.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Berry, L. T. M., ‘A mathematical model for optimizing telephone networks’, (Ph.D. Thesis, University of Adelaide, 12 1971).Google Scholar
[2]Berry, L. T. M., ‘An explicit formula for dimensioning links offered overflow traffic’, Australian Telecommunication Research 8 (1) (1974),1317.Google Scholar
[3]Potts, R. B. and Berry, L. T. M., Adelaide Telephone Network Study, (University of Adelaide — Australian Post Office Reports, 09 197012 1971).Google Scholar
[4]Rosen, J. B., ‘The gradient projection method for nonlinear programming, Part 1. Linear Constraints’, J. Soc: Indust. Appl. Math. 8 (1960),181217.Google Scholar