full list of journal papers
Journal Papers
66. (With Ke Ye) Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations, Mathematical Programming, 2023, 199: 1305-1364. arXiv: 1912.04085.
65. (With Yong Wang and Jinlin Zhou) A DCA-Newton method for quartic minimization over the sphere, Advances in Computational Mathematics, 2023, 49: 53.
64. Certifying the global optimality of quartic minimization over the sphere, Journal of the Operations Research Society of China, 2022, 10: 241-287.
63. Some properties of bi-form optimization over generalized spheres, Communications in Optimization Theory, 2023, Article ID 31, 1-20.
62. A note on the solvability of a tensor equation, Journal of Industrial and Management Optimization, 2022, 18: 4043-4047.
61. Nondegeneracy of eigenvectors and singular vector tuples of tensors, Science China Mathematics, 2022, 65: 2083-2092. arXiv: 2104.05900.
60. (With Guoyin Li) B-subdifferentials of the projection onto the matrix simplex, Computational Optimization and Applications, 2021, 80: 915-941.
59. (With Xueshuang Ma and Jie Wang) Efficient low-rank regularization-based algorithms combining advanced techniques for solving tensor completion problems with application to color image recovering, Journal of Computational and Applied Mathematics, 2023, 423: 114947.
58. (With Zheng-Hai Huang and Meng-meng Zheng) Unconstrained minimization of block-circulant polynomials via semidefinite program in third-order tensor space, Journal of Global Optimization, 2022, 84: 415-440.
57. (With Zheng-Hai Huang and Yan Li) Connectedness of the solution set of the tensor complementarity problem, Journal of Mathematical Analysis and Applications, 2020, 487: 123965.
56. (With Liqun Qi and Yanwei Xu) Spectral norm and nuclear norm of a third order tensor, Journal of Industrial and Management Optimization, 2022, 18: 1101-1113.
55. (With Liqun Qi, Xinzhen Zhang, Yanwei Xu) Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors, Frontiers of Mathematics in China, 2021, 16: 171-185.
54. (With Qun Wang) A globally convergent method for solving a quartic generalized Markowitz portfolio problem, Applied Numerical Mathematics, 2022, 179: 255-272.
53. (With Youyicun Lin) B-subdifferentials of the projection onto the generalized simplex, Asia-Pacific Journal of Operational Research, 2022, 39: 2150020.
52. (With Youyicun Lin) B-subdifferential of the projection onto the generalized spectraplex, Journal of Optimization Theory and Applications, 2022, 192: 702-724.
51. (With Wenxin Du, Youyicun Lin, Jie Wang) A global convergence analysis for computing a symmetric low-rank orthogonal approximation, Asia-Pacific Journal of Operational Research, 2022, 39: 2250003.
50. (With Wenxin Du) A convergence analysis for an algorithm computing a symmetric low rank orthogonal approximation of a symmetric tensor, Pacific Journal on Optimization, 2022, 18: 119-138.
49. (With Defeng Sun and Kim-Chuan Toh) Best nonnegative rank-one approximations of tensors, SIAM Journal on Matrix Analysis and Applications, 2019, 40: 1527-1554. arXiv: 1810.13372.
48. Bounds on strongly orthogonal ranks of tensors, Applied Mathematics and Computation, 2020, 365: 124723.
47. An inexact augmented Lagrangian method for computing strongly orthogonal decompositions of tensors, Computational Optimization and Applications, 2020, 75: 701-737.
46. Symmetry of eigenvalues of Sylvester matrices and tensors, Science China Mathematics, 2020, 63: 845-872.
45. (With Zheng-Hai Huang, Yan Li and Jie Wang) An introduction to the computational complexity of matrix multiplication, Journal of the Operations Research Society of China, 2020, 8: 29-43.
44. (With Guimei Zhang) Characteristic polynomial and higher order traces of third order three dimensional tensors, Frontiers of Mathematics in China, 2019, 14: 225--237.
43. An elementary proof for the exact relaxation for rank one moment matrices in multi-polynomial SOS relaxation, Minmax Theory and its Applications, 2019, 4: 329--339.
42. (With Yannan Chen, Liqun Qi and Wennan Zhou) Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor, Frontiers of Mathematics in China, 2019, 14: 1--16.
41. (With Zheng-Hai Huang and Jie Wang) An inexact augmented Lagrangian multiplier method for solving quadratic complementary problems: An adapted algorithmic framework combining specific resolution techniques, Journal of Computational and Applied Mathematics, 2019, 361: 64–78.
40. (With Zheng-Hai Huang and Jie Wang) Error bounds for the solution sets of quadratic complementarity problems. Journal of Optimization Theory and Applications, 2018, 179: 983--1000.
39. (With Guoyin Li) Convergence rate analysis for the higher order power method in best rank one approximations of tensors. Numerische Mathematik, 2018, 140: 993--1031.
38. (With Zheng-Hai Huang and Jie Wang) Solution sets of quadratic complementarity problems. Journal of Optimization Theory and Applications, 2018, 176: 120--136.
37. (With Ke Ye) Inverse eigenvalue problem for tensors. Communications in Mathematical Sciences, 2017, 15: 1627--1649. arXiv:1511.05057.
36. (With Liqun Qi) A necessary and sufficient condition for existence of a positive Perron vector. SIAM Journal on Matrix Analysis and Applications, 2016, 37: 1747--1770. arXiv:1511.07759.
35. (With Liqun Qi and Guofeng Zhang) Computing the geometric measure of entanglement of multipartite pure states by means of non-negative tensor. Physical Review A, 2016, 93: 012304. Previous version: The geometric measure of entanglement of pure states with nonnegative amplitudes and the spectral theory of nonnegative tensors. arXiv:1203.3675.
34. (With Ke Ye) Multuplicities of tensor eigenvalues. Communications in Mathematical Sciences, 2016, 14(4): 1049--1071. arXiv:1412.2831.
33. (With Xin-He Miao and Jiantao Yang) A generalized Newton method for absolute value equations associated with circular cones. Applied Mathematics and Computation, 2015, 269: 155--168.
32. (With Ji-Ye Han, Zheng-Hai Huang and Lei Yang) An iterative algorithm for third-order tensor multi-rank minimization. Computational Optimization and Applications, 2016, 63(1): 169--202.
31. (With Liqun Qi, Yisheng Song and Guofeng Zhang) Geometric measure of entanglement of multipartite mixed states. International Journal of Software & Informatics. 2014, 8(3/4): 317--326. arXiv:1204.4317.
30. Relations of the nuclear norm of a tensor and its matrix flattenings. Linear Algebra and its Applications, 2015, 478: 188--199. arXiv:1412.2443.
29. (With Liqun Qi and Jinshan Xie) The largest Laplacian and signless Laplacian H-eigenvalues of a uniform hypergraph. Linear Algebra and its Applications, 2015, 469: 1--27. arXiv:1304.1315.
28. (With Guoyin Li and Liqun Qi) A tensor analogy of Yuan's theorem of the alternative and polynomial optimization with sign structure. Journal of Optimization Theory and Applications, 2016, 168: 446--474. arXiv:1407.2348.
27. (With Hong-Yan Ni and Yong Wang) A family of generalized NCP-functions and a smoothing reformulation of D-eigenvalues. Pacific Journal of Optimization, 2014, 10: 613--629.
26. (With Liqun Qi) Convergence of a second order Markov chain. Applied Mathematics and Computation, 2014, 241: 183--192. arXiv:1307.6919.
25. (With Liqun Qi) The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph. Discrete Applied Mathematics, 2014, 169: 140--151. arXiv:1303.4048.
24. (With Liqun Qi and Jia-Yu Shao) Some new trace formulas of tensors with applications in spectral hypergraph theory. Linear and Multilinear Algebra, 2015, 63: 971--992. arXiv:1307.5690.
23. (With Liqun Qi and Jia-Yu Shao) Cored hypergraphs, power hypergraphs and their Laplacian H-eigenvalues. Linear Algebra and its Applications, 2013, 430: 2980--2998. arXiv:1304:1315.
22. (With Liqun Qi) The E-eigenvectors of tensors. Linear and Multilinear Algebra, 2014, 62(10): 1388--1402. arXiv:1303.2840.
21. (With Zheng-Hai Huang and Liqun Qi) Strictly nonnegative tensors and nonnegative tensor partition. Science in China Series A: Mathematics, 2014, 57: 181--195. Previous version: Finding the spectral radius of a nonnegative tensor, arXiv:1111.2138. This article won the best paper award in 2017.
20. (With Zheng-Hai Huang and Liqun Qi) Finding the extreme Z-eigenvalues of tensors via a sequential SDPs method. Numerical Linear Algebra with Applications, 2013, 20: 972--984.
19. (With Guoyin Li, Liqun Qi and Yisheng Song) Finding the maximum eigenvalue of essentially nonnegative symmetric tensors via sum of squares programming. Journal of Optimization Theory and Applications, 2013, 158: 713--738.
18. (With Liqun Qi) The Laplacian of a uniform hypergraph. Journal of Combinatorial Optimization, 2015, 29: 331--366.
17. (With Zheng-Hai Huang, Chen Ling and Liqun Qi) On determinant and eigenvalue theory of tensors. Journal of Symbolic Computation, 2013, 50: 508--531. Previous version: E-determinants of tensors, arXiv:1109.0348.
16. (With Liqun Qi) E-characteristic polynomial of a tensor of dimension two. Applied Mathematics Letters, 2013, 26: 225–231.
15. (With Tie Ni) A note on quadratic convergence of a smoothing Newton algorithm for the LCP. Optimization Letters, 2013, 7(3): 519–531.
14. (With Zheng-Hai Huang, Hong-Yan Ni and Liqun Qi) Positive definiteness of Diffusion Kurtosis Imaging. Inverse Problems and Imaging, 2012, 6(1): 57–75.
13. (With Zheng-Hai Huang) Theorems of the alternative for inequality systems of real polynomials. Journal of Optimization Theory and Applications, 2012, 154(1): 1–16.
12. (With Liqun Qi) Algebraic connectivity of an even uniform hypergraph. Journal of Combinatorial Optimization, 2012, 24(4): 564–579.
11. (With Zheng-Hai Huang) A note on approximating quadratic programming with rank constraint. Optimization, 2012, 61(5): 525–534.
10. (With Zheng-Hai Huang) Alternating direction method for bi-quadratic programming. Journal of Global Optimization, 2011, 51(3): 429--446.
9. (With Zheng-Hai Huang and Qiong Zhang) A generalized Newton method for absolute value equations associated with second order cones. Journal of Computational and Applied Mathematics, 2011, 235: 1490--1501.
8. (With Zheng-Hai Huang and Li-Yong Lu) Properties of a family of merit functions and a merit function method for the NCP. Applied Mathematics, A Journal of Chinese Universities, 2010, 25: 379--390.
7.(With Zheng-Hai Huang) Polynomial time solvability of non-symmetric semidefinite programming. Operation Research Letters, 2010, 38: 358--360.
6. (With Zheng-Hai Huang) A note on absolute value equations. Optimization Letters, 2010, 4: 417--424.
5. (With Zheng-Hai Huang and Nan Lu) Smoothness of a generalized merit function for the second-order cone complementarity problem. Pacific Journal of Optimization, 2010, 6: 551--571.
4. (With Zheng-Hai Huang and Nan Lu) A non-monotone line search algorithm for unconstrained optimization. Journal of Scientific Computing, 2010, 42: 38--53.
3. (With Jein-Shan Chen and Zheng-Hai Huang) Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems. Journal of Computational and Applied Mathematics, 2009, 230: 69–82.
2. (With Zheng-Hai Huang and Ping Wang) A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems. Optimization Methods and Software. 2009, 24: 447–460.
1. (With Ji-Ye Han and Zheng-Hai Huang) Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search. Science in China Series A: Mathematics. 2009, 52(4): 1–16.