刁懷安

刁懷安，山東淄博人，教授，博士生導師，中國仿真學會不确定性系統分析與仿真專業委員會委員、美國數學會評論員，吉林省高層次人才，多次赴香港、美國、日本、加拿大、德國等地的知名大學開展學術交流。

2007年博士畢業于City University of Hong Kong，主要研究方向包括數學物理反問題的分析與計算以及數值代數，在Springer出版社發表了一部專著，部分論文發表在J. Math. Pures Appl.、Calc. Var. Partial Differential Equations、SIAM J. Math. Anal.、Comm. Partial Differential Equations、Math. Comp.、SIAM J. Appl. Math.、J. Differential Equations、Inverse Problems等應用與計算數學領域的期刊上。此外，在人工智能領域的國際頂級會議NeurIPS 2019上發表了兩篇論文。所發表的論文被引用了超過990次（據Google學術統計），H指數為19。目前，主持 一項國家自然科學基金面上項目，曾主持并成功完成一項國家自然科學基金青年項目，一項國家自然科學基金數學天元基金項目，以及一項教育部博士點新教師基金項目。此外，還參與了一項國家自然科學基金國際地區合作與交流項目。多次受邀為多個國際期刊審稿，包括IEEE Transactions on Signal Processing、Inverse Problems、Inverse Problems and Imaging、SIAM Journal on Matrix Analysis and Applications、BIT、Numer Algorithms、Applied Mathematics Letters、Applied Numerical Mathematics、Applied Mathematics and Commutation、Calcolo、Journal of Computational and Applied Mathematics、Linear Algebra and its Application、Linear and Multilinear Algebra等。同時擔任浙江省自然科學基金項目評審專家，全國研究生教育評估監測專家庫專家。

SCOPUS: 8565532400

https://www.scopus.com/authid/detail.uri?authorId=8565532400

ResearcherID: HLQ-5640-2023

http://www.researcherid.com/rid/HLQ-5640-2023

ORCID: 0000-0002-3787-9608

http://orcid.org/0000-0002-3787-9608

Google scholar:

https://scholar.google.com/citations?user=p9M8-YgAAAAJ&hl=en&oi=ao

課題小組目前專注于數學物理反問題的分析與計算、譜理論、以及數值代數等研究方向。招收優秀的碩士研究生和博士研究生（申請考核制招生），同時也歡迎博士後的加入。鼓勵有志于科研的同學聯系，同時也歡迎對科研充滿熱情的本科生加入課題小組。

研究方向

譜理論；數學物理反問題的分析與計算;  數值代數；随機化算法

講授課程

本科生課程：現代優化算法、複變函數、數值分析、凸分析、微分方程數值解、離散數學、數學分析習題課、高等代數與解析幾何習題課、高等數學、線性代數
研究生課程：矩陣計算、最優化計算、微分方程差分方法

教育與工作經曆

2021.10 - 至今 伟德线上平台 教授

2008.07-  2021.06   東北師範大學數學與統計學院 副教授

2007.09 - 2008.06   東北師範大學數學與統計學院 講師

2019.11 - 2020.01   香港浸會大學 訪問學者

2018.03 - 2018.05   香港浸會大學 訪問學者
2018.01 - 2018.02   日本國立信息研究所 訪問學者
2017.10 - 2017.11   普渡大學 訪問學者
2014.09 - 2014.10   麥克馬斯特大學 訪問學者
2014.08 - 2014.09   漢堡工業大學 訪問學者
2013.01 - 2014.01   普渡大學大學 訪問學者

2004.09 - 2007.08   香港城市大學數學系 博士

科研項目

1. 國家自然科學基金面上項目（12371422），43.5萬，2024.01-2027.12，主持

2. 符号與工程教育部重點實驗開放課題項目（93Z172023Z01），5萬，2023.01-2024.12，主持

3. 國家自然科學基金國際(地區)合作與交流項目 （12161160314）, 100萬，2022.01-2025.12，參加

4. 國家自然科學基金青年科學基金項目（11001045），16萬，2011.01-2013.12，主持

5. 國家自然科學基金數學天元基金項目（10926107），3萬，2010.01-2010.12，主持

6. 教育部博士點新教師基金項目（20090043120008），3.6萬，2010.01-2012.12，主持

7. 東北師範大學-“十一五”科技創新項目培育基金項目（NENU-STC08009），10萬，2008.01-2010.12，主持

8. 國家自然科學基金數學天元基金項目（11126108），3萬，2012.01-2012.12，參加

9. 國家自然科學基金青年科學基金項目（10801030），17萬，2009.01-2011.12，參加

學術論文

代表性論文列表(*表示通訊作者)：

1. H. Diao, H. Li, H. Liu, and J. Tang, Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications, J. Differential Equations, 371(2023), 629-659.

2. H. Diao, X. Fei, H. Liu, and K. Yang, Visibility, invisibility and unique recovery of inverse electromagnetic problems with conical singularities, Inverse Probl. Imaging, doi: 10.3934/ipi.2023043, 2023.

3. Z. Bai, H. Diao*, H. Liu and Q. Meng, Stable determination of an elastic medium scatterer by a single far-field measurement and beyond, Calc. Var. PDE, 61(2022), 170, 23pp.

4. X. Cao, H. Diao, H. Liu and J. Zou, Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries, Inverse Probl. Imaging 16 (2022), no. 6, 1501-1528.

5. H. Diao, H. Liu, and L. Wang, Further results on generalized Holmgren’s principle to the Lamé operator and applications, J. Differential Equations, 309 (2022), 841–882.

6. Q. Meng, Z. Bai, H. Diao* and H. Liu, Effective medium theory for embedded obstacles in elasticity with applications to inverse problems, SIAM J. Appl. Math., 82 (2022), No. 2, 720–749.

7. X. Cao, H. Diao, H. Liu and J. Zou, Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries, Inverse Probl. Imaging, 16 (2022), no. 6, 1501-1528.

8. 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).

9. 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.

10. 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.

11. 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.

12. 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.

13. 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.

14. 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

15. 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.

16. 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.

17. 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.

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

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

20. 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

21. 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.

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

23. 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.

24. 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.

25. H. Diao*, On condition numbers for least squares with quadric inequality constraint, Comput. Math. Appl. 73 (2017), no. 4, 616–627.

26. H. Diao, Y. Wei, and S. Qiao. Structured condition numbers of structured Tikhonov regularization problem and their estimations, J. Comput. Appl. Math., 308(2016), 276-300.

27. 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.

28. 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.

29. 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.

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

31. 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.

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

33. 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.

34. 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

1. H. Diao and H. Liu, Spectral Geometry and Inverse Scattering Theory, Springer, Cham, 2023, ISBN: 9783031346156.

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

社會兼職

1. 中國仿真學會不确定性系統分析與仿真專業委員會委員，2020-至今.

2. 吉林省工業與應用數學學會第四屆理事會理事, 2018-2023.

3. 美國數學會評論員，2019-至今.

4. 會員, Society for Industrial and Applied Mathematics, 2018-至今.

5. 會員，Inverse Problems International Association，2022.12-至今.