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October 9th, 2021
  • Filed
    October 9th, 2021

Inheriting convexity of both objective functions and constraint functions, all local minimum points are also global minimum points in convex optimization prob- lems. In addition, convex optimization provides a rigorous optimality condition and a dual theory to verify the optimal solution [21, 73]. In recent years, the convex optimization has been successfully applied to practical problems in a wide range of disciplines, such as automatic control systems, estimation and signal processing, communications and networks, finance and etc. For example, many communication problems can be formulated or transformed into convex optimization problems so as to significantly facilitate the analytic and numerical solutions [73].

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