科学与工程计算系 您当前位置:首页  师资力量  科学与工程计算系
杨庆之
pictureEmail:qz-yang@nankai.edu.cn
办公电话:
传真:
个人网站: http://my.nankai.edu.cn/sms/yqz/list.htm
研究方向:
最优化方法, 数值多重线性代数。
社会兼职:
“Journal of the Operations Research Society of China” 、《计算数学》、 《高等学校计算数学学报》、“Statistics, Optimization and Information Computing”  编委。
发表文章及著作:

主要科研论文如下:
1.Pengfei Huang and Qinghzi Yang:  Newton-based methods for finding the positive ground state of Gross- Pitaevskii equations, Journal of Sci. Comput., to appear (2022); (SCI)
2. Pengfei Huang, Qingzhi Yang and Yuning Yang: Finding the global optimum of a class of quartic minimization problem,  Comput. Optim. Appl., to appear (2022); (SCI)
3.Qingzhi Yang, Yujin Paek and Wei Mei: Further investigation of positive definiteness of fourth order Cauchy and Hankel tensors, Front. Math. China , to appear (2022); (SCI)
4.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,to appear (2022);
5.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)
6.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);
7.Wei Mei and Qingzhi Yang : Upper bounds for eigenvalues of Cauchy-Hankel tensors, Front. Math. China, 16(4) (2021); (SCI)
8.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)
9.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);
10.Wei Mei and Qingzhi Yang : Properties of structural tensors and complementarity problems, Journal of Optim. Theo. Appl., 185(1) (2020); (SCI)
11.Qingzhi Yang, Yiyong Li and Pengfei Huang: A novel formulation of the max-cut problem and related algorithm, Appl. Math. Comput., 371(2020); (SCI)
12.Gang Luo and Qingzhi Yang: A fast symmetric alternating    direction method of multipliers, Numer. Math. Theor. Meth. Appl., available online (2019); (SCI)
13.Qingzhi Yang and Yiyong Li: Standard tensor and its applications in problem of singular values of tensors, Front. Math. China, 14(5) (2019); (SCI)
14.罗刚, 杨庆之: 一类张量特征值互补问题,计算数学,41(4)(2019);
15.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);
16.Qingzhi Yang and Hangrui Yue: Several results on the strong duality of QCQP, Numer. Math. - A Journal of Chinese University, 41(1) (2019);
17.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)
18.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)
19.Zhongming Chen, Qingzhi Yang and Lu Ye: Generalized eigenvalue complementarity problem for tensors, Pacific Journal of Optimization, 13(3) (2017); (SCI)
20.Jingjing Jia and Qingzhi Yang: Upper bounds for the spectral radii of nonnegative tensors, J. Oper. Res. Soc. China, 5(1) (2017);
21.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);
22.Na Zhao, Qingzhi Yang and Yajun Liu: Computing the generalized eigenvalues of weakly symmetric tensors, Comput. Optim. Appl., 66(2) (2017); (SCI)
23.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);
24.Na Zhao and Qingzhi Yang: Some results for Z-spectral radius of nonnegative tensors, Numer. Math. - A Journal of Chinese University, 38(2) (2016);
25.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)
26.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)
27.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)
28.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)
29.Lixing Yang, Qingzhi Yang and Xiaoming Zhao: Quadratic third- order tensor optimization problem with quadratic constraints, Statistics, Optimization and Information Computing, 2(2) (2014);
30.Xiaoming Zhao and Qingzhi Yang: Spectral radius of a nonnegative tensor with centrosymmetric structure, Numer. Math. - A Journal of Chinese University, 36(1) (2014);
31.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);
32.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)
33.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)
34.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);
35.Yuning Yang and Qingzhi Yang: Some modified relaxed alternating projection methods for solving the two-sets convex feasibility problem, Optimization, 62(4) (2013); (SCI)
36.Yuning Yang and Qingzhi Yang: Geometric simplicity of spectral radius of nonnegative irreducible tensors, Front. Math. China, 8(1) (2013); (SCI)
37.Yuning Yang and Qingzhi Yang: On solving biquadratic optimization via semidefinite relaxation, Comput. Optim. Appl., 53(3) (2012); (SCI)
38.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)
39.Jinling Zhao and Qingzhi Yang: Self-adaptive projection methods for the multiple-sets split feasibility problem, Inverse Problems, 27(3) (2011); (SCI)
40.Yuning Yang and Qingzhi Yang: Singular values of nonnegative rectangular tensors, Front. Math. China, 6(2) (2011); (SCI)
41.Zhongwen Wang, Qingzhi Yang and Yuning Yang: The relaxed inexact projection methods for the split feasibility problem, Appl. Math. Comput., 217(12)(2011); (SCI)
42.Yuning Yang and Qingzhi Yang: Further results for Perron-Frobenius theorem for nonnegative tensors, SIAM J. Matrix
Anal. and Appl., 31(5) (2010); (SCI)
43.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)
44.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)
45.Jinling Zhao and Qingzhi Yang: Weak co-coercivity and its applications in several algorithms for solving variational inequalities, Appl. Math. Comput., 201(2008); (SCI)
46.Qingzhi Yang and Jinling Zhao: Some remarks on convex feasibility problem and best approximation problems, Numerical Mathematics: Theory, Method and Applications, 1(2008); (SCIE)
47.Jinling Zhao and Qingzhi Yang: A note on Krasnoselski-Mann theorem and its generalizations, Inverse Problems, 23(2007); (SCI)
48.Qingzhi Yang: On the generalized system for relaxed cocoercive variational inequalities and projection methods, Journal of Optim. Theo. Appl., 130(2006); (SCI)
49.Qingzhi Yang and Jinling Zhao: Generalized KM theorems and their applications, Inverse Problems, 22 (2006); (SCI)
50.杨庆之,赵金玲:分裂可行问题的投影算法,计算数学,28(2006);
51.Qingzhi Yang: On the variable-step relaxed projection algorithm for variational inequalities, Journal of Mathematical Analysis and Applications, 302 (2005); (SCI)
52.Qingzhi Yang: A new proof of strong duality theorem for semidefinite programming, Journal of Mathematical Analysis and Applications, 303 (2005); (SCI)
53.Jinling Zhao and Qingzhi Yang: Several solution methods for the splitting feasibility problem, Inverse Problems, 21 (2005); (SCI)
54.Qingzhi Yang: The revisit of a projection algorithm for variational Inequalities, Journal of Industrial and Management Optimization, 1(2005); (SCI)
55.Qingzhi Yang: The relaxed CQ algorithm solving the splitting feasibility problem, Inverse Problems, 20 (2004); (SCI)
56.Qingzhi Yang and Hong Yu: Discretization method for Semidefinite programming, Computers and Mathematics with Applications, 48 (2004); (SCI)
57.杨庆之,杨德庄,张敏洪:调节熵函数法,计算数学,23(2001);
58.杨庆之:对凝聚函数法的探讨,计算数学,20(1998);
59.杨庆之:对凝聚函数法的分析,计算数学,18(1996);
60.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 Zhan 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.


南开大学 | 陈省身数学研究所 | 组合数学中心| 统计与数据科学学院
版权所有 南开大学数学科学学院 | 地址:天津市卫津路94号 | 邮编:300071