解惠青

教授、硕士生导师

招生专业：数学

教授课程：线性代数（本科）、矩阵分析、非线性方程组数值方法（研究生）

办公地点：徐汇校区第八教学楼6楼606室

Email：hqxie@ecust.edu.cn

一、主要学习及工作经历

1998年7月，山西大学数学系本科毕业，学士

2001年4月，南京航空航天大学计算数学专业研究生毕业，硕士

2004年4月，南京航空航天大学一般力学与力学基础专业研究生毕业，博士

2012年7月-2013年5月，新加坡国立大学访问学者

2015年7月-2016年7月，美国加州大学戴维斯分校访问学者

2006年7月-2015年7月，hg8868皇冠官方登录平台副教授

2015年7月-至今，hg8868皇冠官方登录平台教授

二、主要研究方向

1. 特征值问题的解析扰动

2. 极点配置问题

3. 求解特征值问题的数值方法

三、科研项目

1. 上海市自然科学基金，主持，2015.1-2017.12.

2. 国家自然科学基金青年基金，主持，2011.1-2013.12.

3. 中央高校基本科研业务费，主持，2010.12-2012.11.

四、代表性论文

[1].Chen M., Xie H.^*, A receptance method for partial quadratic pole assignment of asymmetric systems, Mechanical Systems and Signal Processing, 165, 2022, 108348:1-108348:13.(SCI)

[2].Xie H., A receptance method for robust and minimum norm partial quadratic eigenvalue assignment, Mechanical Systems and Signal Processing, 160, 2021, 107838:1-107838:13. (SCI)

[3].Xie H., A perturbation-based method for a parameter-dependent nonlinear eigenvalue problem, Numerical Linear Algebra with Applications, 28, 2021, e2355:1- e2355:29. (SCI)

[4].Lin C-P, Xie H., Grimes R., Bai Z.^*, On the shift-invert Lanczos method for the buckling eigenvalue problem, International Journal for Numerical Methods in Engineering, 122, 2021, 2751-2769. (SCI)

[5].Xie H. ^*, Chen M., An incomplete modal method for eigenvector derivatives of polynomial eigenvalue problems, Applied Numerical Mathematics, 156, 2020, 322-345. (SCI)

[6].Xie H., An iterative method for simultaneously computing the derivatives of simple and multiple eigenpairs of a quadratic eigenvalue problem, Journal of Computational and Applied Mathematics, 356, 2019, 133-151. (SCI)

[7].Xie H., A new method for eigenvector derivatives of a quadratic eigenvalue problem, BIT Numerical Mathematics, 57(4), 2017, 1065-1082. (SCI)

[8].Jiang C., Xie H., Bai Z.^*, Robust and efficient computation of eigenvectors in a generalized spectral method for constrained clustering, In Proceeding of the 20th International Conference on Artificial Intelligence and Statistics (AISTATS 2017), PMLR 54:757-766, 2017.

[9].Xie  H., Simultaneous iterative method for the derivatives of several eigenpairs of unsymmetric damped systems, Mechanical Systems and  Signal Processing, 64-65, 2015, 377-384. (SCI)

[10]. Xie H., Sensitivity analysis of semi-simple eigenvalues of regular quadratic eigenvalue problems, Acta Mathematicae Applicatae Sinica, 31(2), 2015, 499-518. (SCI)

[11]. Xie, H., Simultaneous iterative method for eigenpair derivatives of damped systems, AIAA Journal, 51(1), 2013, 236-239. (SCI)

[12]. Hu, Y.P., Xie, H.^*, Orthogonal projection method for eigenpair derivatives of large symmetric matrices, International Journal of Computer Mathematics, 90(11), 2013, 2372-2390. (SCI)

[13]. Xie H., An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems, BIT Numerical Mathematics, 2012, 52(2), 525-536. (SCI)

[14]. Xie H.^*, Dai H. On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil, Linear Algebra and its Applications, 437(7), 2012, 1628- 1640 . (SCI)

[15] Xie H., Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure, Journal of Computational and Applied Mathematics, 2012, 236(10), 2607-2621. (SCI)

[16] Xie H., IRAM based method for eigenpairs and their derivatives of large matrix valued functions, Numerical Linear Algebra with Applications, 2011,18(3), 513-538. (SCI)

[17]. Ma Z.Y., Xie H.^*, Hu Y.P., A new iterative method for many eigenpair partial derivatives, Applied Mathematics and Computation, 2010, 217(5), 1991-1996. (SCI)

[18]. Xie H.^*, Dai H., Calculation of derivatives of multiple eigenpairs of unsymmetrical quadratic eigenvalue problems, International Journal of Computer Mathematics, 85(12), 2008, 1815-1831. (SCI )

[19]. Xie H. ^*, Dai H., Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems, Applied Mathematics and Mechanics, 28(6), 2007, 837-845. (SCI )

[20]. Xie H. ^*, Dai H., Davidson method for eigenpairs and their partial derivatives of generalized eigenvalue problems, Communications in Numerical Methods in Engineering, 22(2), 2006, 155-165. (SCI )

[21] Xie H. ^*, Dai H.,Davidson method for eigenpairs and their derivatives, AIAA Journal, 43(6), 2005, 1403-1405. (SCI )

[22]. Xie H., Dai H. ^*,On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencil, Linear Algebra and its Applications, 374(15), 2003, 143-158. (SCI )

五、学术兼职（或荣誉奖励）

1.美国数学会《Mathematical Reviews》评论员

2.上海市科学与工程计算委员会委员