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Complex and quaternionic optimization

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  • We introduce and suggest to research a special class of optimization problems, wherein an objective function is a real-valued complex variables function under constraints, comprising complex-valued complex variables functions: "Complex Optimization". We demonstrate multiple examples to show a rich variety of problems, describing Complex Optimization as an optimization subclass as well as a Mixed Integer-Real-Complex Optimization.

    Next, we introduce more general concept: "Quaternionic Optimization" for optimization over quaternion subsets.

    Mathematics Subject Classification: Primary: 90C48; Secondary: 30D30, 30A99.

    Citation:

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