解惠青
作者:何丽雅   发布时间:2013-06-17   访问次数:4031

 

一、个人简介

解惠青,1976.4,博士,教授

二、主要学习及工作经历(从大学开始)

19949—19987月    本科计算数学专业山西大学

19989---20013月    硕士计算数学南京航空航天大学

20014---20044    博士计算数学南京航空航天大学

20044---20069    讲师      华东理工大学

20069---20158月    副教授    华东理工大学

20159月至今           教授      华东理工大学

三、讲授课程及教学成果

线性代数,矩阵分析,非线性方程组数值方法

四、研究方向及主要进展

研究方向为数值代数,主要研究特征值问题的解析扰动及其应用,代数特征值反问题等。

五、代表性科研项目

1. 2007.12007.12主持国家自然科学基金数学天元青年基金项目:含参数特征值问题的灵敏度分析

2. 2011.12013.12主持国家自然科学基金青年基金项目:广义特值问题与二次特征值问题的解析扰动及其应用

3. 2015.1-2017.12 主持上海市自然科学基金项目:多项式特征值问题的解析扰动及其应用

六、代表性研究论文

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

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

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

  4. Hu, Y.P., Xie, H.Q. , Orthogonal projection method for eigenpair derivatives of large symmetric matrices, International Journal of Computer Mathematics, 90(11), 2013: 2372-2390.(SCI)

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

  6. Xie H.Q., 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)

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

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

  9. Ma Z.Y., Xie H.Q., Hu Y.P., A new iterative method for many eigenpair partial derivativesApplied Mathematics and Computation, 2010, 217(5): 1991-1996 . (SCI)

  10. Xie H.Q., Dai H., Calculation of derivatives of multiple eigenpairs of unsymmetrical quadratic eigenvalue problems, International Journal of Computer Mathematics, 85(12), 2008: 1815-1831. (SCI)

  11. Xie H.Q., Dai H., Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems, Applied Mathematics and Mechanics, 28(6), 2007: 837-845. (SCI)

  12. Huiqing Xie, Hua Dai, Davidson method for eigenpairs and their partial derivatives of generalized eigenvalue problems, Communications in Numerical Methods in Engineering, 22(2), 2006: 155-165. (SCI)

  13. Xie H.Q., Dai H., Davidson method for eigenpairs and their derivatives, AIAA Journal, 43(6), 2005: 1403-1405. (SCI)

  14. Xie H.Q., Dai H., On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencil, Linear Algebra and its Applications, 374(15), 2003: 143-158. (SCI)

七、联络方式

e-mail: hqxie@ecust.edu.cn