解惠青
教授、博士生导师
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
2001年4月-2004年4月，南京航空航天大学，理学博士
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，华东理工大学数学学院副教授
2015年7月-至今，华东理工大学数学学院教授
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、主要学术（教学）成果
曾主持国家自然科学基金青年基金(2011.1-2013.12)、国家自然科学基金数学天元基金(2007.1-2007.12)、上海市自然科学基金(2015.1-2017.12)、中央高校基本科研业务费项目(2010.12-2012.11).
四、代表性论文
[1].Xie H.*, Li Y., Eigenvalue assignment of second order singular systems by acceleration-velocity-displacement feedback, Mathematics of Control, Signals, and Systems, 2024, https://doi.org/10.1007/s00498-023-00379-w.
[2].Xie H., Robust partial quadratic pole assignment of asymmetric systems using receptances, Computational and Applied Mathematics, 43(2), 2024: 82.
[3].Xie H.*, Lu M., A new iterative method for simultaneous computation of several eigenpair derivatives of a large matrix, Applied Mathematics and Computation, 472, 2024: 128626.
[4].Xie H.*, A method for robust partial quadratic eigenvalue assignment with repeated eigenvalues, Journal of Dynamic Systems, Measurement, and Control, 145, 2023: 081001.
[5].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.
[6].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.
[7].Xie H., A perturbation-based method for a parameter-dependent nonlinear eigenvalue problem, Numerical Linear Algebra with Applications, 28, 2021, e2355:1- e2355:29.
[8].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.
[9].Xie H.*, Chen M., An incomplete modal method for eigenvector derivatives of polynomial eigenvalue problems, Applied Numerical Mathematics, 156, 2020, 322-345.
[10].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.
[11].Xie H., A new method for eigenvector derivatives of a quadratic eigenvalue problem, BIT Numerical Mathematics, 57(4), 2017, 1065-1082.
[12].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.
[13].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.
[14].Xie H., Sensitivity analysis of semi-simple eigenvalues of regular quadratic eigenvalue problems, Acta Mathematicae Applicatae Sinica, 31(2), 2015, 499-518.
[15].Xie, H., Simultaneous iterative method for eigenpair derivatives of damped systems, AIAA Journal, 51(1), 2013, 236-239.
[16].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.
[17].Xie H., An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems, BIT Numerical Mathematics, 2012, 52(2), 525-536.
[18].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 .
[19].Xie H., Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure, Journal of Computational and Applied Mathematics, 2012, 236(10), 2607-2621.
[20].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.
[21].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.
[22].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.
[23].Xie H.*, Dai H., Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems, Applied Mathematics and Mechanics, 28(6), 2007, 837-845.
[24].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.
[25].Xie H.*, Dai H., Davidson method for eigenpairs and their derivatives, AIAA Journal, 43(6), 2005, 1403-1405.
[26].Xie H., Dai H.*, On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencil, Linear Algebra and its Applications, 374(15), 2003, 143-158.
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