A Predictor-Corrector Algorithm for QSDP Combining Dikin-Type and Newton Centering Steps. - Jiawang Nie; Ya-Xiang Yuan (Ann. Oper. Res., 2001)

Minimum Ellipsoid Bounds for Solutions of Polynomial Systems via Sum of Squares. - Jiawang Nie; James Demmel (J. Glob. Optim., 2005)

Minimizing Polynomials via Sum of Squares over the Gradient Ideal. - Jiawang Nie; James Demmel; Bernd Sturmfels (Math. Program., 2006)

Approximate GCDs of polynomials and SOS relaxation. - Bin Li; Jiawang Nie; Lihong Zhi (SNC, 2007)

On the complexity of Putinar's Positivstellensatz. - Jiawang Nie; Markus Schweighofer (J. Complex., 2007)

Structured semidefinite representation of some convex sets. - J. William Helton; Jiawang Nie (CDC, 2008)

Global minimization of rational functions and the nearest GCDs. - Jiawang Nie; James Demmel; Ming Gu 002 (J. Glob. Optim., 2008)

Semidefinite Relaxation Bounds for Indefinite Homogeneous Quadratic Optimization. - Simai He; Zhi-Quan Luo; Jiawang Nie; Shuzhong Zhang (SIAM J. Optim., 2008)

Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials. - Jiawang Nie; James Demmel (SIAM J. Optim., 2008)

Approximate GCDs of polynomials and sparse SOS relaxations. - Bin Li; Jiawang Nie; Lihong Zhi (Theor. Comput. Sci., 2008)

Sum of squares method for sensor network localization. - Jiawang Nie (Comput. Optim. Appl., 2009)

Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets. - J. William Helton; Jiawang Nie (SIAM J. Optim., 2009)

Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations. - Chen Ling 001; Jiawang Nie; Liqun Qi 001; Yinyu Ye 001 (SIAM J. Optim., 2009)

Algebraic Degree of Polynomial Optimization. - Jiawang Nie; Kristian Ranestad (SIAM J. Optim., 2009)

Matrix Cubes Parameterized by Eigenvalues. - Jiawang Nie; Bernd Sturmfels (SIAM J. Matrix Anal. Appl., 2009)

Semidefinite representation of convex sets. - J. William Helton; Jiawang Nie (Math. Program., 2010)

The algebraic degree of semidefinite programming. - Jiawang Nie; Kristian Ranestad; Bernd Sturmfels (Math. Program., 2010)

Polynomial Matrix Inequality and Semidefinite Representation. - Jiawang Nie (Math. Oper. Res., 2011)

A Semidefinite Approach for Truncated K-Moment Problems. - J. William Helton; Jiawang Nie (Found. Comput. Math., 2012)

Discriminants and nonnegative polynomials. - Jiawang Nie (J. Symb. Comput., 2012)

First order conditions for semidefinite representations of convex sets defined by rational or singular polynomials. - Jiawang Nie (Math. Program., 2012)

Regularization Methods for SDP Relaxations in Large-Scale Polynomial Optimization. - Jiawang Nie; Li Wang (SIAM J. Optim., 2012)

An exact Jacobian SDP relaxation for polynomial optimization. - Jiawang Nie (Math. Program., 2013)

Certifying convergence of Lasserre's hierarchy via flat truncation. - Jiawang Nie (Math. Program., 2013)

Polynomial Optimization with Real Varieties. - Jiawang Nie (SIAM J. Optim., 2013)

The A -Truncated $$K$$ K -Moment Problem. - Jiawang Nie (Found. Comput. Math., 2014)

Optimality conditions and finite convergence of Lasserre's hierarchy. - Jiawang Nie (Math. Program., 2014)

All Real Eigenvalues of Symmetric Tensors. - Chun-Feng Cui; Yu-Hong Dai; Jiawang Nie (SIAM J. Matrix Anal. Appl., 2014)

Semidefinite Relaxations for Best Rank-1 Tensor Approximations. - Jiawang Nie; Li Wang (SIAM J. Matrix Anal. Appl., 2014)

The hierarchy of local minimums in polynomial optimization. - Jiawang Nie (Math. Program., 2015)

Linear optimization with cones of moments and nonnegative polynomials. - Jiawang Nie (Math. Program., 2015)

Positive Maps and Separable Matrices. - Jiawang Nie; Xinzhen Zhang (SIAM J. Optim., 2016)

Generating Polynomials and Symmetric Tensor Decompositions. - Jiawang Nie (Found. Comput. Math., 2017)

Symmetric Tensor Nuclear Norms. - Jiawang Nie (SIAM J. Appl. Algebra Geom., 2017)

Bilevel Polynomial Programs and Semidefinite Relaxation Methods. - Jiawang Nie; Li Wang; Jane J. Ye (SIAM J. Optim., 2017)

Low Rank Symmetric Tensor Approximations. - Jiawang Nie (SIAM J. Matrix Anal. Appl., 2017)

Real eigenvalues of nonsymmetric tensors. - Jiawang Nie; Xinzhen Zhang (Comput. Optim. Appl., 2018)

Tensor eigenvalue complementarity problems. - Jinyan Fan; Jiawang Nie; Anwa Zhou (Math. Program., 2018)

A Complete Semidefinite Algorithm for Detecting Copositive Matrices and Tensors. - Jiawang Nie; Zi Yang; Xinzhen Zhang (SIAM J. Optim., 2018)

Completely Positive Binary Tensors. - Jinyan Fan; Jiawang Nie; Anwa Zhou (Math. Oper. Res., 2019)

Tight relaxations for polynomial optimization and Lagrange multiplier expressions. - Jiawang Nie (Math. Program., 2019)

Hankel Tensor Decompositions and Ranks. - Jiawang Nie; Ke Ye (SIAM J. Matrix Anal. Appl., 2019)

Preface to the special issue on optimization with polynomials and tensors. - Jiawang Nie (Comput. Optim. Appl., 2020)

Symmetric Tensor Decompositions On Varieties. - Jiawang Nie; Ke Ye; Lihong Zhi (CoRR, 2020)

Preface. - Yu-Hong Dai; Xin Liu 001; Jiawang Nie; Zaiwen Wen (Optim. Methods Softw., 2020)

The maximum tensor complementarity eigenvalues. - Jinyan Fan; Jiawang Nie; Ruixue Zhao (Optim. Methods Softw., 2020)

Stochastic polynomial optimization. - Jiawang Nie; Liu Yang; Suhan Zhong (Optim. Methods Softw., 2020)

A Matrix Positivstellensatz with Lifting Polynomials. - Igor Klep; Jiawang Nie (SIAM J. Optim., 2020)

Hermitian Tensor Decompositions. - Jiawang Nie; Zi Yang (SIAM J. Matrix Anal. Appl., 2020)

The Gauss-Seidel method for generalized Nash equilibrium problems of polynomials. - Jiawang Nie; Xindong Tang; Lingling Xu (Comput. Optim. Appl., 2021)

Learning Diagonal Gaussian Mixture Models and Incomplete Tensor Decompositions. - Bingni Guo; Jiawang Nie; Zi Yang (CoRR, 2021)

A Lagrange Multiplier Expression Method for Bilevel Polynomial Optimization. - Jiawang Nie; Li Wang; Jane J. Ye; Suhan Zhong (SIAM J. Optim., 2021)

Higher Order Correlation Analysis for Multi-View Learning. - Jiawang Nie; Li Wang; Zequn Zheng (CoRR, 2022)

Low Rank Tensor Decompositions and Approximations. - Jiawang Nie; Li Wang; Zequn Zheng (CoRR, 2022)

The Saddle Point Problem of Polynomials. - Jiawang Nie; Zi Yang; Guangming Zhou (Found. Comput. Math., 2022)

Special Issue: Polynomial and Tensor Optimization. - Shmuel Friedland; Jean-Bernard Lasserre; Lek-Heng Lim; Jiawang Nie (Math. Program., 2022)

Distributionally Robust Optimization with Moment Ambiguity Sets. - Jiawang Nie; Liu Yang; Suhan Zhong; Guangming Zhou (J. Sci. Comput., 2023)

Homogenization for polynomial optimization with unbounded sets. - Lei Huang; Jiawang Nie; Ya-Xiang Yuan (Math. Program., 2023)

Loss functions for finite sets. - Jiawang Nie; Suhan Zhong (Comput. Optim. Appl., 2023)

Generalized Truncated Moment Problems with Unbounded Sets. - Lei Huang; Jiawang Nie; Ya-Xiang Yuan (J. Sci. Comput., 2023)

Convex generalized Nash equilibrium problems and polynomial optimization. - Jiawang Nie; Xindong Tang (Math. Program., 2023)

Rational Generalized Nash Equilibrium Problems. - Jiawang Nie; Xindong Tang; Suhan Zhong (SIAM J. Optim., 2023)

Diagonal Gaussian Mixture Models and Higher Order Tensor Decompositions. - Bingni Guo; Jiawang Nie; Zi Yang (CoRR, 2024)

Nash Equilibrium Problems of Polynomials. - Jiawang Nie; Xindong Tang (Math. Oper. Res., 2024)

The Multi-Objective Polynomial Optimization. - Jiawang Nie; Zi Yang (Math. Oper. Res., 2024)

Finite Convergence of Moment-SOS Relaxations with Nonreal Radical Ideals. - Lei Huang; Jiawang Nie; Ya-Xiang Yuan (SIAM J. Optim., 2024)

Towards Global Solutions for Nonconvex Two-Stage Stochastic Programs: A Polynomial Lower Approximation Approach. - Suhan Zhong; Ying Cui 004; Jiawang Nie (SIAM J. Optim., 2024)

The Rank-1 Completion Problem for Cubic Tensors. - Jinling Zhou; Jiawang Nie; Zheng Peng 004; Guangming Zhou (SIAM J. Matrix Anal. Appl., 2025)

Solving polynomial variational inequality problems via Lagrange multiplier expressions and Moment-SOS relaxations. - Jiawang Nie; Defeng Sun; Xindong Tang; Min Zhang 062 (Comput. Optim. Appl., 2025)

Distributionally Robust Optimization with Polynomial Robust Constraints. - Jiawang Nie; Suhan Zhong (J. Glob. Optim., 2025)

A Global Approach for Generalized Semi-Infinite Programs with Polyhedral Parameter Sets. - Xiaomeng Hu; Jiawang Nie; Suhan Zhong (J. Optim. Theory Appl., 2025)