Toward Nonquadratic S-Lemma: New Theory and Application in Nonconvex Optimization

Meijia Yang (), Shu Wang () and Yong Xia ()
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Meijia Yang: University of Science and Technology Beijing
Shu Wang: North China Electric Power University
Yong Xia: Beihang University

Journal of Optimization Theory and Applications, 2022, vol. 194, issue 1, No 16, 353-363

Abstract: Abstract We establish a generalized alternative theorem for nonquadratic nonconvex system by unifying S-lemma and convex Farkas lemma. As an application, we reveal hidden convexity of a new family of nonconvex optimization problems that combine generalized trust region subproblem with convex optimization.

Keywords: S-lemma; Farkas lemma; Hidden convexity; Nonconvex optimization; 90C20; 90C22; 90C26 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-022-02031-0

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