杨庆之 教授

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。

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。

最优化方法， 数值多重线性代数。

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。

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。

主要科研论文如下：

1. 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) 

2. 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);

3.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)

4. 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)

5. 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)

6. 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);

7. 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)

8. 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)；

9.  Wei Mei and Qingzhi Yang : Upper bounds for eigenvalues of Cauchy-Hankel tensors, Front. Math. China, 16(4) (2021); (SCI)

10. 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)

11. 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)；

12.  Wei Mei and Qingzhi Yang : Properties of structural tensors and complementarity problems, Journal of Optim. Theo.Appl., 185(1) (2020); (SCI)

13.Qingzhi Yang, Yiyong Li and Pengfei Huang: A novel formulation of the max-cut 

problem and related algorithm, Appl. Math. Comput., 371(2020); (SCI)

14. Gang Luo and Qingzhi Yang: A fast symmetric alternating direction method of multipliers, Numer. Math. Theor. Meth. Appl., 13(1) (2020); (SCI)

15. Qingzhi Yang and Yiyong Li: Standard tensor and its applications in problem of singular values of tensors,Front. Math. China, 14(5) (2019); (SCI)

16. 罗刚, 杨庆之: 一类张量特征值互补问题，计算数学，41(4)(2019)；

17. 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)；

18. Qingzhi Yang and Hangrui Yue: Several results on the strong duality of QCQP, Numer. Math. - A Journal of Chinese University, 41(1) (2019);

19. 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)

20. 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)

21. Zhongming Chen, Qingzhi Yang and Lu Ye: Generalized eigenvalue complementarity problem for tensors, Pacific Journal of Optimization, 13(3) (2017); (SCI) 

22. Jingjing Jia and Qingzhi Yang: Upper bounds for the spectral radii of nonnegative tensors,

J. Oper. Res. Soc. China, 5(1) (2017);

23. 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);

24. Na Zhao, Qingzhi Yang and Yajun Liu: Computing the generalized eigenvalues of weakly symmetric tensors, Comput. Optim. Appl., 66(2) (2017); (SCI)

25.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);

26. Na Zhao and Qingzhi Yang: Some results for Z-spectral radius of nonnegative tensors, 

Numer. Math. - A Journal of Chinese University, 38(2) (2016); 

27. 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)

28. Yuning Yang, Qingzhi Yang and Liqun Qi: Approximation bounds for trilinear and biquadratic optimization problems over nonconvex constraints, Journal of Optim. 

Theo. Appl., 163(3) (2014); (SCI)

29. 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)

30. 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)

31. Lixing Yang, Qingzhi Yang and Xiaoming Zhao: Quadratic third- order tensor optimization problem with quadratic constraints, Statistics, Optimization and Information Computing,

2(2) (2014);

32.Xiaoming Zhao and Qingzhi Yang: Spectral radius of a nonnegative tensor with 

centrosymmetric structure, Numer. Math. - A Journal of Chinese University, 36(1) (2014); 

33. 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);

34.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)

35. 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)

36. 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); 

37. Yuning Yang and Qingzhi Yang: Some modified relaxed alternating projection methods for solving the two-sets convex feasibility problem, Optimization, 62(4) (2013); (SCI)

38. Yuning Yang and Qingzhi Yang: Geometric simplicity of spectral radius of nonnegative irreducible tensors, Front. Math. China, 8(1) (2013); (SCI)

39. Yuning Yang and Qingzhi Yang: On solving biquadratic optimization via semidefinite 

relaxation, Comput. Optim. Appl., 53(3) (2012); (SCI)

40. 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)

41. Jinling Zhao and Qingzhi Yang: Self-adaptive projection methods for the multiple-sets split feasibility problem, Inverse Problems, 27(3) (2011); (SCI)

42. Yuning Yang and Qingzhi Yang: Singular values of nonnegative rectangular tensors, 

Front. Math. China, 6(2) (2011); (SCI)

43. Zhongwen Wang, Qingzhi Yang and Yuning Yang: The relaxed inexact projection methods for the split feasibility problem, Appl. Math. Comput., 217(12)(2011); (SCI)

44. Yuning Yang and Qingzhi Yang: Further results for Perron-Frobenius theorem for nonnegative tensors, SIAM J. Matrix Anal. and Appl., 31(5) (2010); (SCI)

45. 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)

46. 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)

47. Jinling Zhao and Qingzhi Yang: Weak co-coercivity and its applications in several algorithms for solving variational inequalities, Appl. Math. Comput., 201(2008); (SCI)

48. Qingzhi Yang and Jinling Zhao: Some remarks on convex feasibility problem and best approximation problems, Numerical Mathematics: Theory, Method and Applications,

1(2008); (SCIE)

49. Jinling Zhao and Qingzhi Yang: A note on Krasnoselski-Mann theorem and its generalizations, Inverse Problems, 23(2007); (SCI)

50. Qingzhi Yang:On the generalized system for relaxed cocoercive variational inequalities and projection methods, Journal of Optim. Theo. Appl., 130(2006); (SCI)

51. Qingzhi Yang and Jinling Zhao: Generalized KM theorems and their applications, Inverse Problems, 22 (2006); (SCI)

52. 杨庆之，赵金玲：分裂可行问题的投影算法，计算数学，28(2006)；

53. Qingzhi Yang: On the variable-step relaxed projection algorithm for variational

 inequalities, Journal of Mathematical Analysis and Applications, 302 (2005); (SCI)

54. Qingzhi Yang: A new proof of strong duality theorem for semidefinite programming, 

Journal of Mathematical Analysis and Applications, 303 (2005); (SCI)

55. Jinling Zhao and Qingzhi Yang: Several solution methods for the splitting feasibility problem, Inverse Problems, 21 (2005); (SCI)

56. Qingzhi Yang: The revisit of a projection algorithm for variational Inequalities, Journal of Industrial and Management Optimization, 1(2005); (SCI)

57. Qingzhi Yang:The relaxed CQ algorithm solving the splitting feasibility problem,

Inverse Problems, 20 (2004); (SCI)

58. Qingzhi Yang and Hong Yu: Discretization method for Semidefinite programming, 

Computers and Mathematics with Applications, 48 (2004); (SCI)

59. 杨庆之，杨德庄，张敏洪：调节熵函数法，计算数学，23(2001);

60. 杨庆之：对凝聚函数法的探讨，计算数学，20(1998);

61. 杨庆之：对凝聚函数法的分析，计算数学，18(1996);

62. 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.

    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。