Current Research Interests

Polynomial Optimization, Generalized Nash equilibrium problems, Tensor Computation

 

 

Selected Publications

• Z. Qu and X. Tang. A correlatively sparse Lagrange multiplier expression relaxation for polynomial optimization, SIAM Journal on Optimization, accepted (2023)
• J. Nie, X. Tang, and S. Zhong. Rational Generalized Nash Equilibrium Problems, SIAM Journal on Optimization, 33 (3), 1587-1620 (2023)
• J. Nie and X. Tang. Nash Equilibrium Problems of Polynomials, Mathematics of Operations Research, (2023)
• J. Nie and X. Tang. Convex Generalized Nash Equilibrium Problems and Polynomial Optimization, Mathematical Programming, 198, 1485-1518 (2023)
• K. Lee and X. Tang. On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials, Journal of Scientific Computing, 95 (1), 1-26 (2023)
• J. Nie, X. Tang, Z. Yang, and S. Zhong. Dehomogenization for completely positive tensors, Numerical Algebra, Control and Optimization, 13 (2), 340-363 (2023)
• J. Nie, X. Tang, and L. Xu. The Gauss-Seidel Method for Generalized Nash Equilibrium Problems of Polynomials, Computational Optimization and Applications, 78, 529-557 (2021)