Unifying Farkas lemma and S-lemma: new theory and applications in nonquadratic nonconvex optimization
arXiv:2109.03001
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.
12 pages