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刁怀安

发表于: 2021-11-03   点击: 

基本情况

              

姓名: 刁怀安

 

性别:
职称: 教授
所在系别: 计算数学系
是否博导:
最高学历: 研究生
最高学位: 博士
Email: diao@jlu.edu.cn


详细情况

所在学科专业

数学

研究方向

数值代数;随机化算法;偏微分算子谱理论;波散射问题

讲授课程

本科生课程:复变函数、数值分析、凸分析、微分方程数值解、离散数学、数学分析习题课、高等代数与解析几何习题课、高等数学、线性代数
研究生课程::矩阵计算、最优化计算、微分方程差分方法

教育经历

2007.11    香港城市大学数学系  数学博士

2004.06    复旦大学数学研究所   计算数学理学硕士

2001.06    曲阜师范大学数学系  数学与应用数学理学学士

工作经历

2021.10 - 至今 吉林大学数学学院 教授

2008.07-  2021.06   东北师范大学数学与统计学院 副教授

2007.09 - 2008.06   东北师范大学数学与统计学院 讲师

2019.11 - 2020.01   香港浸会大学 访问学者

2018.03 - 2018.05   香港浸会大学 访问学者
2018.01 - 2018.02   日本国立信息研究所 访问学者
2017.10 - 2017.11   普渡大学 访问学者
2014.09 - 2014.10   麦克马斯特大学 访问学者
2014.08 - 2014.09   汉堡工业大学 访问学者
2013.01 - 2014.01   普渡大学大学 访问学者

2018.01 - 2018.02   日本国立信息研究所 访问学者
2017.10 - 2017.11   普渡大学 访问学者
2014.09 - 2014.10   麦克马斯特大学 访问学者
2014.08 - 2014.09   汉堡工业大学 访问学者
2013.01 - 2014.01   普渡大学大学 访问学者

科研项目

[1] 低秩结构矩阵参数化表示下的结构化条件数分析                            2017.01-2018.12  东北师范大学青年教师发展基金  负责人
[2] 几类问题的计算适定性研究(青年基金) 2011.01-2013.12  国家自然科学基金委 负责人
[3] 不适定问题的条件性研究(天元基金) 2010.01-2010.12  国家自然科学基金委 负责人
[4] 分量下线性最小二乘与Tikhonov正则化问题计算适定性研究(博士点新教师基金) 2010.01-2012.12  国家教育部 负责人
[5] 基于分量下矩阵计算中的扰动分析与估计 2009.01-2011.12  东北师范大学-“十一五”科技创新项目培育基金项目 负责人

学术论文

代表性论文列表(*表示通讯作者):

1. H. Diao*, H. Liu, and B. Sun, On a local geometric structure of generalized elastic transmission eigenfunctions and application, Inverse Problems, 37 (2021), 105015 (36pp).

2. X. Cao, H. Diao*, H. Liu and J. Zou, On novel geometric structures of Laplacian eigenfunctions in R3 and applications to inverse problems, SIAM Journal on Mathematics Analysis, 53(2021), no. 2, 1263–1294. 

3. H. Diao, H. Liu, L. Zhang and J. Zou, Unique continuation from a generalized impedance edge-corner for Maxwell’s system and applications to inverse problems, Inverse Problems, 37 (2021) 035004. 

4. Q. Meng, H. Diao*, and Z. Bai, Condition numbers for the truncated total least squares problem and their estimations, Numer. Linear Algebra Appl., e2369, 2021.

5. H. Diao, X. Cao and H. Liu, On the geometric structures of conductive transmission eigenfunctions and their application, Communications in Partial Differential Equations, 46 (2021), no. 4, 630-679.

6. X. Cao, H. Diao*, H. Liu and J. Zou, On nodal and generalized singular structures of Laplacian eigenfunctions and applications, Journal de Mathématiques Pures et Appliquées, 143(2020), 116-161. 

7. H. Diao*, H. Liu and L. Wang, On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems, Calculus of Variations and Partial Differential Equations, 59(2020), 179 

8. Q. Meng, H. Diao* and Q. Yu, Structured condition number for multi-right hands linear systems with parameterized quasiseparable coefficient matrix, Journal of Computational and Applied Mathematics, 368(2020), 112527. 

9. H. Diao, Z. Song, David P. Woodruff, and X. Yang, Total least squares regression in input sparsity time, Advances in Neural Information Processing Systems 32 (NeurIPS 2019), pages 2478-2489. Curran Associates, Inc., 2019. 

10. H. Diao, R. Jayaram, Z. Song, W. Sun, and David P. Woodruff, Optimal sketching for Kronecker product regression and low rank approximation, Advances in Neural Information Processing Systems 32 (NeurIPS 2019), pages 4739-4750. Curran Associates, Inc., 2019. 

11. H. Diao* and Q. Meng, Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices, BIT, 59(2019), 695-720. 

12. H. Diao, P. Li and X. Yuan, Inverse elastic surface scattering with far-field data, Inverse Problems and Imaging, 13(2019), 721–744. 

13. H. Diao* and Y. Sun. Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem, Linear Algebra and its Applications, 544(2018), 1-29

14. H. Diao*, Condition numbers for a linear function of the solution of the linear least squares problem with equality constraints, Journal of Computational and Applied Mathematics, 344 (2018), 640- 656. 

15. H. Diao* and J. Zhao, On structured componentwise condition numbers for Hamiltonian eigenvalue problems, Journal of Computational and Applied Mathematics, 335(2018), 74-85. 

16. H. Diao*, Y. Wei, and P. Xie. Small sample statistical condition estimation for the total least squares problem, Numer. Algor., 75(2017), no. 2, 435-455. 

17. H. Diao, L. Liang and S. Qiao, A condition analysis of the weighted linear least squares problem using dual norms, Linear and Multilinear Algebra., 66(2018), no. 6, 1085-1103. 

18. H. Diao, X. Shi and Y. Wei, Effective condition numbers and small sample statistical condition estimation for the generalized Sylvester equation, Sci. China Math., 56 (2013), no. 5, 967-982. 

19. H. Diao, W. Wang, Y. Wei and S. Qiao, On condition numbers for Moore-Penrose inverse and linear least squares problem involving Kronecker products, Numer. Linear Algebra Appl., 20 (2013), no. 1, 44-59. 

20. H. Diao, H. Xiang and Y. Wei, Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations, Numer. Linear Algebra Appl., 19 (2012), no. 4, 639-654. 

21. H. Diao*, On componentwise condition numbers for eigenvalue eproblems with structured matrices, Numer. Linear Algebra Appl., 16 (2009), 87-107. 

22. H. Diao and Y. Wei, On Frobenius normwise condition numbers for Moore-Penrose inverse and linear least squares problems, Numer. Linear Algebra Appl., 14(2007), 603-610. 

23. F. Cucker and H. Diao, Mixed and componentwise condition numbers for rectangular structured matrices, Calcolo, 44(2007), 89-115. 

24. F. Cucker, H. Diao and Y. Wei, On mixed and componentwise condition numbers for Moore-Penrose inverse and linear least squares problems, Math. Comp., 76 (2007), 947-963. 

25. F. Cucker, H.Diao and Y. Wei, Smoothed analysis of some condition numbers, Numerical Linear Algebra with Applications, 13 (2006), 71-84.

着作教材

H. Diao, On the condition of some problems in matrix computation, VDM Verlag, Sep., 2009, ISBN: 9783639111095.

社会兼职

1. 中国仿真学会不确定系统分析与仿真专业委员会委员,2020-至今.

2.  吉林省工业与应用数学学会第四届理事会理事, 2018-至今.

3. 美国数学会评论员,2019-至今.

4. 会员, the International Linear Algebra Society, 2007–至今. 

5. 会员, Society for Industrial and Applied Mathematics, 2018–至今.






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