东北师范大学数学与统计学院
个人信息
School of Mathematics and Statistics,NENU
Personal Particulars
刁怀安  副教授
【基本信息】
性    别
办公地点
职    称
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专    业
个人主页
【个人情况综述】

刁怀安,副教授,博士生导师,2007年博士毕业于香港城市大学,研究兴趣为数值代数、随机化算法、微分算子谱理论、波散射问题,在Journal de Mathématiques Pures et Appliquées、Calculus of Variations and Partial Differential Equations、Communications in Partial Differential Equations、Mathematics of Computation,以及机器学习领域顶级会议NeurIPS 2019,等国际主流期刊发表科研论文40余篇。出版学术专著一本。据Mathscinet显示,所发表论文累计被引用210次;据Web of Science显示,所发表论文中单篇最高被引用65次。主持并完成多项国家自然科学基金与教育部博士点基金项目。曾多次受邀访问国内外高校进行合作研究与学术交流。已经培养硕士学历研究生16人,目前在读硕士研究生8人。主讲《矩阵计算》、《最优化计算》、《复变函数》、《数值分析》、《凸分析》、《微分方程数值解》等多门研究生与本科生课程。

代表性论文

1. H. Diao, X.Cao and H.Liu,On the geometric structures of conductive transmission eigenfunctions and their application, Communications in Partial Differential Equations, to appear, 2020. 

2.     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. (Corresponding author

3.     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. 

4.     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. (Corresponding author

5.     H. Diao, Z. Song, David P. Woodruff, and X. Yang, Total Least Squares Regression in Input Sparsity Time, In H. Wallach, H. Laro chelle, A. Beygelzimer, F. d Alche-Buc, E. Fox, and R. Garnett, editors, Advances in Neural Information Processing Systems 32 (NeurIPS 2019), pages 2478-2489. Curran Associates, Inc., 2019. 《中国计算机学会推荐国际学术会议和期刊录 (2019 )》人工智能领域的 类国际学术会议.

6.     H. Diao, R. Jayaram, Z. Song, W. Sun, and David P. Woodruff, Optimal Sketching for Kronecker Product Regression and Low Rank Approximation, In H. Wallach, H. Laro chelle, A. Beygelzimer, F. dAlche-Buc, E. Fox, and R. Garnett, editors, Advances in Neural Information Processing Systems 32 (NeurIPS 2019), pages 4739-4750. Curran Associates, Inc., 2019. 《中国计算机学会推 荐国际学术会议和期刊录 (2019 )》人工智能领域的 类国际学术会议.

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

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

9.     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

10.  H. DiaoCondition 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. 

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

12.  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. 

13.  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. 

14.  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. 

15.  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. 

16.  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. 

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

18.  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. 

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

20.  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. 

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

【学习工作简历】

Visiting Scholar, Dept. of Math., Hong Kong BaptistUniversity, 1/2019--2/2019.

Visiting Scholar, Dept. of Math., Hong Kong BaptistUniversity, 3/2018--5/2018.

Visiting Scholar, National Institute of Informatics Japan,1/2018--2/2018.

Visiting Scholar, Dept. of Math., Purdue University,10/2017--12/2017.

Visiting Scholar, Dept. of Software and Computing, McMasterUniversity, 9/2014--10/2014.

Visiting Scholar, Institute of Reliable Computing, TechnicalUniversity of Hamburg, 8/2014--9/2014.

Visiting Scholar, Dept. of Math., Purdue University,1/2013--1/2014.

副教授, 数学与统计学院, 东北师范大学, 7/2008--至今.

讲师, 数学与统计学院, 东北师范大学, 11/2007--6/2008.

助教, 数学与统计学院, 东北师范大学, 9/2007--11/2007.

数学哲学博士, 香港城市大学, 2007.

计算数学理学硕士, 复旦大学, 2004.

数学与应用数学理学学士, 曲阜师范大学, 2001.

【社会学术兼职】
吉林省工业与应用数学学会第四届理事会理
美国数学会评论员
国际线性代数协会会
中国数学会会
中国工业与应用数学协会会
【获奖情况】

1. 2016年指导大学生高教社杯全国大学生数学建模竞赛本科组二等奖(刘天航、韩默、陈靖澜

2. 2016年指导国家级大学生创新实验计划项目获得优秀成果(赵健、庞世豪、周旭莹、肖扬

【主要研究方向】
数值代数、随机化算法、微分算子谱理论、散射问题