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A parameter-free approach for solving SOS-convex semi-algebraic fractional programs

Chengmiao YangLiguo JiaoJae Hyoung Lee
Jan 2024
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摘要原文
In this paper, we study a class of nonsmooth fractional programs {\rm (FP, for short)} with SOS-convex semi-algebraic functions. Under suitable assumptions, we derive a strong duality result between the problem (FP) and its semidefinite programming (SDP) relaxations. Remarkably, we extract an optimal solution of the problem (FP) by solving one and only one associated SDP problem. Numerical examples are also given.
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