Maximin and minimax SINR problems are equivalent for general-rank signals with convex closed uncertainty sets, so the global optimum for worst-case SINR maximization is obtained by solving the equivalent SDP of the minimax problem.
Majorization-minimization algo- rithms in signal processing, communications, and machine learning
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Optimal Robust Adaptive Beamforming for a General-Rank Signal Model via Equivalence of Maximin and Minimax SINR Problems
Maximin and minimax SINR problems are equivalent for general-rank signals with convex closed uncertainty sets, so the global optimum for worst-case SINR maximization is obtained by solving the equivalent SDP of the minimax problem.