Unifying Farkas lemma and S-lemma: new theory and applications in nonquadratic nonconvex optimization

Meijia Yang; Yong Xia; Shu Wang

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arXiv · 2109.03001

Unifying Farkas lemma and S-lemma: new theory and applications in nonquadratic nonconvex optimization

Meijia Yang·Yong Xia·Shu Wang

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Abstract

We unify nonlinear Farkas lemma and S-lemma to a generalized alternative theorem for nonlinear nonconvex system. It provides fruitful applications in globally solving nonconvex non-quadratic optimization problems via revealing the hidden convexity.

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Meijia Yang, Yong Xia, Shu Wang. 2021-09-07. Unifying Farkas lemma and S-lemma: new theory and applications in nonquadratic nonconvex optimization. https://arxiv.org/abs/2109.03001

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