A Superlinearly Convergent Minimax Algorithm for Microwave Circuit Design (Dec. 1985 [T-MTT])

A new and highfy efficient algorithm for nonlinear minimax optimization is presented. The algorithm, based on the work of Hald and Madsen, combines linear programming methods with quasi-Newton methods and has sure convergence properties. A critical review of the existing minimax algorithms is given, and the relation of the qnasi-Newton iteration of the algorithm to the Powell method for rstssdinear programming is dkeussed. To demonstrate the superiority of this algorithm over the , existing ones, the classical three-section transmission-line transformer problem is used. A novel approach to worst-case design of microwave circnits using the present algorithm is proposed. The robustness of the algorithm is proved by using it for practicaf design of contiguous and noncontiguous-band multiplexer, involving np to 75 design variables.