Abstract
An unconstrained minimax algorithm of Charalambous and Conn is easily modified to solve the constrained case. Here we present some numerical results and find that this algorithm compares favourably to those of Dutta and Vidyasagar.
References
C. Charalambous and A.R. Conn, “Optimization of microwave networks”,IEEE Transactions on Microwave Theory & Techniques MTT-21 (1973) 815–818.
C. Charalambous and A.R. Conn, “An efficient method to solve the minimax problem directly”,SIAM Journal on Numerical Analysis 15 (1) (1978) 162–187.
A.R. Conn and T. Pietrzykowski, “A penalty function method converging directly to a constrained optimum”,SIAM Journal on Numerical Analysis 14, No. 2, April (1977), 348–375.
S.R.K. Dutta and M. Vidyasagar, “New algorithms for constrained minimax optimization”,Mathematical Programming 13 (1977) 140–155.
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This research was supported in part by Natural Sciences and Engineering Research Council grant number A8639.
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Coleman, T.F. A note on ‘new algorithms for constrained minimax optimization’. Mathematical Programming 15, 239–242 (1978). https://doi.org/10.1007/BF01609026
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DOI: https://doi.org/10.1007/BF01609026