个人资料
教育经历1981年9月-1985年7月,南开大学数学系本科; 1985年9月-1988年7月,河北师范大学数学系硕士; 1994年9月-1997年3月,中国科学院应用数学研究所博士。 工作经历1988年7月-1994年6月,河北师范大学数学系教师; 1997年5月-1999年5月,中国科学院研究生院(现中国科学院大学)博士后; 1999年6月-现在 ,南开大学数学学院教师。 个人简介研究领域最优化方法, 数值多重线性代数。 教学工作近些年一直给本科生开设《最优化方法》课程,给研究生开设《最优化方法》《数值代数》课程。 还曾给数学学院本科生开设《网络优化》课程,给其他学院开设《高等数学》课程。 科研项目目前主持国家自然科学基金面上项目一项:非线性特征值问题的优化方法,2021.01-2024.12。 论文著作主要科研论文如下: 1. 唐云飞,杨庆之:一类可正交分解四阶共轭部分对称张量的性质和低秩逼近,中国科学-数学, published online, Nov. 2024; 2. Yunfei Tang and Qingzhi Yang: Two heuristics solving low tensor train rank tensor completion, Journal of Industrial and Management Optimization, 21(2)(2025); (SCI) 3.Yawei Chen and Qingzhi Yang: A distributed accelerated algorithm based on a unified momentum method, Journal of Optim. Theo. Appl., 203 (2024); (SCI) 4.Pengfei Huang and Qingzhi Yang: Newton-based alternating methods for the ground state of a class of multicomponent Bose-Einstein condensates, SIAM J. Optim.,34(3)(2024);(SCI) 5. Yaozong Tang, Gang Luo and Qingzhi Yang: An efficieng PGM-based algorithm with backtracking strategy for solving quadratic optimization problems with spherical constraint, J.Comput. Appl. Math.,422(2023); (SCI) 6. Amina Sabir, Pengfei Huang and Qingzhi Yang:The low-rank approximation of fourth-order partial-symmetric and conjugate partial-symmetric tensor,J.Oper. Res. Soc. China,11(4)(2023); 7.Qingzhi Yang, Yujin Paek and Wei Mei: Further investigation of positive definiteness of fourth order Cauchy and Hankel tensors, Front. Math. ,18(4)(2023); (SCI) 8. Pengfei Huang, Qingzhi Yang and Yuning Yang:Finding the global optimum of a class of quartic minimization problem, Comput. Optim. Appl., 81(3) (2022); (SCI) 9. Pengfei Huang and Qinghzi Yang:Newton-based methods for finding the positive ground state of Gross- Pitaevskii equations, Journal of Sci. Comput.,90(49)(2022); (SCI) 10. 唐耀宗,杨庆之: 非线性特征值问题平移幂法的不动点分析,高等学校应用数学学报,37(1)(2022); 11. Yaozong Tang, Qingzhi Yang and Gang Luo: Convergence analysis on SS-HOPM for BEC-like nonlinear eigenvalues problems, Journal of Comput. Math., 39(4)(2021); (SCI) 12. 唐耀宗,杨庆之:非线性特征值问题平移对称幂法的收敛率估计,计算数学,43(4)(2021); 13. Wei Mei and Qingzhi Yang : Upper bounds for eigenvalues of Cauchy-Hankel tensors, Front. Math. China, 16(4) (2021); (SCI) 14. Gang Luo and Qingzhi Yang: The point-wise convergence of shifted symmetric higher order power method, Journal of Industrial and Management Optimization,17(1)(2021);(SCI) 15. Yaozong Tang, Qingzhi Yang and Pengfei Huang: SS-HOPM for BEC-like nonlinear eigenvalue problems, 高等学校计算数学学报, 42(2)(2020); 16. Wei Mei and Qingzhi Yang : Properties of structural tensors and complementarity problems, Journal of Optim. Theo.Appl., 185(1) (2020); (SCI) 17.Qingzhi Yang, Yiyong Li and Pengfei Huang: A novel formulation of the max-cut problem and related algorithm, Appl. Math. Comput., 371(2020); (SCI) 18. Gang Luo and Qingzhi Yang: A fast symmetric alternating direction method of multipliers, Numer. Math. Theor. Meth. Appl., 13(1) (2020); (SCI) 19. Qingzhi Yang and Yiyong Li: Standard tensor and its applications in problem of singular values of tensors,Front. Math. China, 14(5) (2019); (SCI) 20. 罗刚, 杨庆之: 一类张量特征值互补问题,计算数学,41(4)(2019); 21. 杨庆之,黄鹏斐,刘亚君:解一类非线性特征值问题的数值算例,数值计算与计算机应用,40(2) (2019); 22. Qingzhi Yang and Hangrui Yue: Several results on the strong duality of QCQP, Numer. Math. - A Journal of Chinese University, 41(1) (2019); 23. Qingzhi Yang, Yang Zhou and Yuning Yang: An extension of Yuan’s lemma to fourth-order tensor system, Journal of Optim. Theo.Appl., 180(3) (2019); (SCI) 24. Hangrui Yue, Qingzhi Yang, Xiangfeng Wang and Xiaoming Yuan: Implementing the alternating direction method of multipliers for big datasets: a case study of LASSO, SIAM J. Sci. Comput., 40(5) (2018); (SCI) 25. Zhongming Chen, Qingzhi Yang and Lu Ye: Generalized eigenvalue complementarity problem for tensors, Pacific Journal of Optimization, 13(3) (2017); (SCI) 26. Jingjing Jia and Qingzhi Yang: Upper bounds for the spectral radii of nonnegative tensors, J. Oper. Res. Soc. China, 5(1) (2017); 27. Yiyong Li, Qingzhi Yang and Xi He: A method with parameter for solving the spectral radius of nonnegative tensor, J. Oper. Res. Soc. China, 5(1) (2017); 28. Na Zhao, Qingzhi Yang and Yajun Liu: Computing the generalized eigenvalues of weakly symmetric tensors, Comput. Optim. Appl., 66(2) (2017); (SCI) 29.乐航睿,杨庆之:求解正则化最小二乘问题的一个非精确交替方向乘子法,数值计算与计算机应用,37(3)(2016); 30. Na Zhao and Qingzhi Yang: Some results for Z-spectral radius of nonnegative tensors, Numer. Math. - A Journal of Chinese University, 38(2) (2016); 31. Yiyong Li, Qingzhi Yang and Yuning Yang: A new definition of geometric multiplicity of tensor eigenvalues and some results based on it, Front. Math. China, 10(2) (2015); (SCI) Theo. Appl., 163(3) (2014); (SCI) 33. Yuning Yang, Qingzhi Yang and Su Zhang: Modified alternating direction methods for the modified multiple-sets split feasibility problem, Journal of Optim. Theo. Appl., 163(2) (2014); (SCI) 34. Zhongming Chen, Li Wan and Qingzhi Yang: An inexact alternating direction method for structured variational inequalities, Journal of Optim. Theo. Appl., 163(1) (2014); (SCI) 35. Lixing Yang, Qingzhi Yang and Xiaoming Zhao: Quadratic third- order tensor optimization problem with quadratic constraints, Statistics, Optimization and Information Computing, 2(2) (2014); 36.Xiaoming Zhao and Qingzhi Yang: Spectral radius of a nonnegative tensor with centrosymmetric structure, Numer. Math. - A Journal of Chinese University, 36(1) (2014); 37. 李浙宁,凌晨,王宜举,杨庆之:张量分析和多项式优化的若干进展,运筹学学报,18(1) (2014); 38.Yuning Yang, Qingzhi Yang and Liqun Qi: Properties and methods for finding the best rank-one approximation to high-order tensors, Comput. Optim. Appl., 58(1)(2014); (SCI) 39. Zhongming Chen, Liqun Qi, Qingzhi Yang and Yuning Yang: The solution methods for the largest eigenvalue (singular value) of nonnegative tensors and convergence analysis, Linear Algebra and its Applications, 439(12) (2013); (SCI) 40. Xiaoming Zhao and Qingzhi Yang: A new relaxation bound for biquadratic optimization problem with unit sphere, Numer. Math. - A Journal of Chinese University, 35(3) (2013); 41. Yuning Yang and Qingzhi Yang: Some modified relaxed alternating projection methods for solving the two-sets convex feasibility problem, Optimization, 62(4) (2013); (SCI) 42. Yuning Yang and Qingzhi Yang: Geometric simplicity of spectral radius of nonnegative irreducible tensors, Front. Math. China, 8(1) (2013); (SCI) 43. Yuning Yang and Qingzhi Yang: On solving biquadratic optimization via semidefinite relaxation, Comput. Optim. Appl., 53(3) (2012); (SCI) 44. Qingzhi Yang and Yuning Yang: Further results for Perron-Frobenius theorem for nonnegative tensors II, SIAM J. Matrix Anal. and Appl., 32(4) (2011);(SCI) 45. Jinling Zhao and Qingzhi Yang: Self-adaptive projection methods for the multiple-sets split feasibility problem, Inverse Problems, 27(3) (2011); (SCI) 46. Yuning Yang and Qingzhi Yang: Singular values of nonnegative rectangular tensors, Front. Math. China, 6(2) (2011); (SCI) 47. Zhongwen Wang, Qingzhi Yang and Yuning Yang: The relaxed inexact projection methods for the split feasibility problem, Appl. Math. Comput., 217(12)(2011); (SCI) 48. Yuning Yang and Qingzhi Yang: Further results for Perron-Frobenius theorem for nonnegative tensors, SIAM J. Matrix Anal. and Appl., 31(5) (2010); (SCI) 49. Jinling Zhao, Qingzhi Yang and Hongxiu Gao: A note on Solodov and Tseng’s methods for maximal monotone mappings, Journal of Comput. Appl. Math., 234(5)(2010); (SCI) 50. Qinggang Wang, Jinling Zhao and Qingzhi Yang: Some non-interior path-following methods based on a scaled central path for linear complementarity problems,Comput. Optim. Appl., 46(1)(2010); (SCI) 51. Jinling Zhao and Qingzhi Yang: Weak co-coercivity and its applications in several algorithms for solving variational inequalities, Appl. Math. Comput., 201(2008); (SCI) 52. Qingzhi Yang and Jinling Zhao: Some remarks on convex feasibility problem and best approximation problems, Numerical Mathematics: Theory, Method and Applications, 1(2008); (SCIE) 53. Jinling Zhao and Qingzhi Yang: A note on Krasnoselski-Mann theorem and its generalizations, Inverse Problems, 23(2007); (SCI) 54. Qingzhi Yang:On the generalized system for relaxed cocoercive variational inequalities and projection methods, Journal of Optim. Theo. Appl., 130(2006); (SCI) 55. Qingzhi Yang and Jinling Zhao: Generalized KM theorems and their applications, Inverse Problems, 22 (2006); (SCI) 56. 杨庆之,赵金玲:分裂可行问题的投影算法,计算数学,28(2006); 57. Qingzhi Yang: On the variable-step relaxed projection algorithm for variational inequalities, Journal of Mathematical Analysis and Applications, 302 (2005); (SCI) 58. Qingzhi Yang: A new proof of strong duality theorem for semidefinite programming, Journal of Mathematical Analysis and Applications, 303 (2005); (SCI) 59. Jinling Zhao and Qingzhi Yang: Several solution methods for the splitting feasibility problem, Inverse Problems, 21 (2005); (SCI) 60. Qingzhi Yang: The revisit of a projection algorithm for variational Inequalities, Journal of Industrial and Management Optimization, 1(2005); (SCI) 61. Qingzhi Yang:The relaxed CQ algorithm solving the splitting feasibility problem, Inverse Problems, 20 (2004); (SCI) 62. Qingzhi Yang and Hong Yu: Discretization method for Semidefinite programming, Computers and Mathematics with Applications, 48 (2004); (SCI) 63. 杨庆之,杨德庄,张敏洪:调节熵函数法,计算数学,23(2001); 64. 杨庆之:对凝聚函数法的探讨,计算数学,20(1998); 65. 杨庆之:对凝聚函数法的分析,计算数学,18(1996); 66. 杨庆之:关于集合 ∂uf (x)的结构与计算,系统科学与数学,15(1995). 编辑专辑: 1. Guest Editors: Qingzhi Yang, Liping Zhang, Tan Zhang and Guanglu Zhou: Spectral Theory of Nonnegative Tensors, Front. Math. China, 8(1) (2013); 2. Guest Editors: Liqun Qi, Zongben Xu and Qingzhi Yang: The Theory and Applications of Tensor Optimization, J. Oper. Res. Soc. China, 5(1) (2017). 教材: 1.杨庆之:最优化方法, 科学出版社,2015; 2.杨庆之:凸优化的理论和方法,科学出版社,2019。 专著: 1. Yuning Yang and Qingzhi Yang, A study on eigenvalues of higher-order tensors and related polynomial optimization problems, Science Press, 2015. 学术交流曾经在北京大学,美国 Minnesota 大学、Delaware大学、加州大学San Diego分校, 香港理工大学,澳大利亚 Curtin大学等单位进行学术访问。 荣誉奖励学术成果 |