DEPARTMENT OF APPLIED MATHEMATICS 98 Email xindong.tang@polyu.edu.hk Qualification BSc (Sichuan University) PhD (University of California San Diego) ORCID ID 0000-0002-4951-768X Dr TANG Xindong Research Assistant Professor Research Overview Dr Tang mainly focuses on polynomial optimisation and its applications. More specifically, he works on developing numerical algorithms for solving generalized Nash equilibrium problems (GNEPs) given by polynomials. By exploiting Lagrange multiplier expressions and Moment-SOS semidefinite relaxations, he and his collaborators proposed methods to solve nonconvex GNEPs of polynomials efficiently. Besides that, he also works on polyhedral homotopy methods, sparse polynomial optimisation, and tensor computation. Research Areas Polynomial optimisation, generalised Nash equilibrium problems Representative Publications • Nash Equilibrium Problems of polynomials, Math. Oper. Res., accepted • Rational generalized Nash equilibrium problems, SIAM J. Optim., accepted • On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials, J Sci Comput, 95, 13 (2023) • Convex generalized Nash equilibrium problems and polynomial optimization, Math. Program. 198, 1485–1518 (2023) • The Gauss–Seidel method for generalized Nash equilibrium problems of polynomials, Comput. Optim. Appl., 78, 529– 557 (2021)
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