A superlinearly convergent minimax algorithm for microwave circuit design
Abstract
A new and highly efficient algorithm for nonlinear minimax optimization is presented. The algorithm, based on the work of Hald and Madsen, combines linear programming methods with quasiNewton methods and has sure convergence properties. A critical review of the existing minimax algorithms is given, and the relation of the quasiNewton iteration of the algorithm to the Powell method for nonlinear programming is discussed. To demonstrate the superiority of this algorithm over the existing ones, the classical threesection transmissionline transformer problem is used. A novel approach to worstcase design of microwave circuits using the present algorithm is proposed. The robustness of the algorithm is proved by using it for practical design of contiguous and noncontiguousband multiplexers, involving up to 75 design variables.
 Publication:

IEEE Transactions on Microwave Theory Techniques
 Pub Date:
 December 1985
 DOI:
 10.1109/TMTT.1985.1133249
 Bibcode:
 1985ITMTT..33.1519B
 Keywords:

 Microwave Circuits;
 Minimax Technique;
 Network Synthesis;
 Convergence;
 Iteration;
 Linear Programming;
 Multiplexing;
 Newton Methods;
 NewtonRaphson Method;
 Optimization;
 Electronics and Electrical Engineering