厦门大学数学学院师资队伍
School of Mathematical Sciences Xiamen University
师资队伍

Welcome to Zheng-Jian Bai's Homepage

              

   Professor Zheng-Jian Bai 

     School of Mathematical Sciences  

    Xiamen University

    Xiamen, 361005, P. R. China

    E-mail: zjbai@xmu.edu.cn

 

Educational & Working Experience::

2008-now Professor, Xiamen University, Xiamen, China.

2005-2008 Associate Professor, Xiamen University, Xiamen, China.

2004-2005 Research Fellow, Department of Mathematics, National University of Singapore, Singapore.

2001-2004 Ph.D., Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, China.

1998-2001      M.Sc., Department of Applied Mathematics, Ocean University of Qingdao, Qingdao, China.

1996-1998 B.Sc., Department of Mathematics, Yantai Normal University, Yantai, China.

1994-1996 A.D., Department of Mathematics, Liaocheng Teachers College, Liaocheng, China.

 

Recent Research Interests:

  • Numerical Linear Algebra
  • Inverse Eigenvalue Problems with Applications
  • Numerical Optimization Methods to Numerical Algebra Problems
  • Nonlinear Eigenvalue Problems
  • Optimization Algorithms on Matrix Manifolds
 

Honors and Awards

  • 2015-2019 Member, Committee of Chinese Society for Computational Mathematics.

  • 2013-now Reviewer, Mathematical Reviews, AMS.

  • 2010         Selected into "Program for New Century Excellent Talents" in University, Ministry of Education of the People's Republic of China.

  • 2010         Second Prize, Fujian Provincial Science and Technology Awards 2009, Fujian Province, China. 

 

Research Grants

  • 2018-2020       President Foundation of Xiamen University-Team Project (No. 20720180008).

  • 2017-2020 The National Natural Science Foundation of China (NSFC) (No. 11671337).

  • 2015-2017 President Foundation of Xiamen University (No. 20720150001).

  • 2013-2016 The National Natural Science Foundation of China (NSFC) (No. 11271308).

  • 2010-2013 The Natural Science Foundation of Fujian Province of China for Distinguished Young Scholars (No. 2010J06002).

  • 2007-2009 The National Natural Science Foundation of China (NSFC) (No. 10601043).

 

Book Publications:

  • K. F. Lai, Z. J. Bai, and K. F. Chao, Gaodeng Xianxing Daishuxue (in Chinese), Advanced Linear Algebra, Higher Education Press, Beijing, China, 2014, xii+384 pages. ISBN 978-7-04-041057-0.

Selected Publications:

  • Y. Wang, Z. Zhao, and Z. J. Bai, Riemannian Newton-CG methods for constructing a positive doubly stochastic matrix from spectral data, Inverse Problems, 36 (2020) 115006.

  • T. T. Yao, Z. J. Bai, X. Q. Jin, and Z. Zhao, A geometric Gauss-Newton method for least squares inverse eigenvalue problems, BIT, 60 (2020), pp. 825-852.

  • Y. F. Cai, Z. G. Jia, and Z. J. Bai, Perturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applications, BIT, 60 (2020), pp. 1-29.

  • R. R. Ma and Z. J. Bai, A structure-preserving one-sided Jacobi method for computing the SVD of a quaternion matrix, Appl. Numer. Math., 147 (2020), pp. 101-117.

  • T. T. Yao, Z. J. Bai, and Z. Zhao, A Riemannian variant of the Fletcher-Reeves conjugate gradient method for stochastic inverse eigenvalue problems with partial eigendata, Numer. Linear Algebra Appl., 26 (2019) e2221.

  • Z. Zhao, Z. J. Bai, and X. Q. Jin, A Riemannian inexact Newton-CG method for constructing a nonnegative matrix with prescribed realizable spectrum, Numer. Math., 140 (2018), pp 827-855.

  • Z. J. Bai, M. Lu, and Q. Y.Wan, Minimum norm partial quadratic eigenvalue assignment for vibrating structures using receptances and system matrices, Mech. Syst. Signal Process., 112 (2018), pp. 265-279.

  • R. R. Ma, Z. G. Jia, and Z. J. Bai, A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems, Comput. Math. Appl., 75 (2018), pp. 809-820.

  • Z. J. Bai and Q. Y. Wan, Partial quadratic eigenvalue assignment in vibrating structures using receptances and system matrices, Mech. Syst. Signal Process., 88 (2017), pp. 290-301.

  • Z. J. Bai, J. K. Yang, and B. N. Datta, Robust partial quadratic eigenvalue assignment with time delay using the receptance and the system matrices, J. Sound Vibration, 384 (2016) pp. 1-14.

  • Z. Zhao, X. Q. Jin, and Z. J. Bai, A geometric nonlinear conjugate gradient method for stochastic inverse eigenvalue problems, SIAM J. Numer. Anal., 54 (2016), pp. 2015-2035.

  • T. T. Yao, Z. J. Bai, Z. Zhao, and W. K. Ching, A Riemannian Fletcher-Reeves conjugate gradient method for doubly stochastic inverse eigenvalue problems, SIAM J. Matrix Anal. Appl., 37 (2016), pp. 215-234.

  • Z. Zhao, Z.-J. Bai, and X.-Q. Jin, A Riemannian Newton algorithm for nonlinear eigenvalue problems, SIAM J. Matrix Anal. Appl., 36 (2015), pp. 752-774.

  • T. T. Yao and Z.-J. Bai, Semidefinite inverse eigenvalue problems with prescribed entries and partial eigendata, J. Comput. Appl. Math., 287 (2015), pp. 115-124.

  • Z. J. Bai, D. Cassani, M. Donatelli, and S. Serra-Capizzano, A fast alternating minimization algorithm for total variation deblurring without boundary artifacts, J. Math. Anal. Appl., 415 (2014), pp. 373-393.

  • Z. J. Bai and Z. Z. Bai, On nonsingularity of block two-by-two matrices, Linear Algebra Appl., 439 (2013), pp. 2388-2404.

  • Z. J. Bai, M. X. Chen, and X. M. Yuan, Applications of the alternating direction method of multipliers to the semide nite inverse quadratic eigenvalue problem with partial eigenstructure, Inverse Problems, 29 (2013) 075011.

  • Z. J. Bai, M. X. Chen, and B. N. Datta, Minimum norm partial quadratic eigenvalue assignment with time delay in vibrating structures using the receptance and the system matrices, J. Sound Vibration, 332 (2013), pp. 780-794.

  • Z. Zhao, Z. J. Bai, and G. Z. Chen, On the alternating direction method of multipliers for nonnegative inverse eigenvalue problems with partial eigendata, J. Comput. Appl. Math., 239 (2013), pp. 114-134. 

  • W. Ma and Z. J. Bai, A regularized directional derivative-based Newton method for inverse singular value problems, Inverse Problems, 28 (2012) 125001.

  • Z. J. Bai, M. X. Chen, and J. K. Yang, A multi-step hybrid method for multi-input partial quadratic eigenvalue assignment with time delay, Linear Algebra Appl., 437 (2012), pp. 1658-1669.

  • Z. J. Bai, S. Serra-Capizzano, and Z. Zhao, Nonnegative inverse eigenvalue problems with partial eigendata, Numer. Math., 120 (2012), pp. 387-431.

  • Z. J. Bai, M. Donatelli, and S. Serra-Capizzano, Fast preconditioners for total variation deblurring with anti-reflective boundary conditions,  SIAM J. Matrix Anal. Appl., 32 (2011), pp. 785-805.

  • S. W. Vong, Z. J. Bai, and X. Q. Jin, A Ulm-like method for inverse singular value problems, SIAM J. Matrix Anal. Appl., 32 (2011), pp. 412-429. 

  • Z. J. Bai, B.N. Datta, and J. W. Wang, Robust and minimum norm partial quadratic eigenvalue assignment in vibrating systems: A new optimization approach, Mech. Syst. Signal Process., 24 (3) (2010), pp. 766-783. 

  • Z. J. Bai, M. K. Ng, and L. Q. Qi, A coordinate gradient descent method for nonsmooth nonseparable minimization, Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 377-402.

  • Z. J. Bai and W. K. Ching, A smoothing Newton’s method for the construction of a damped vibrating system from noisy test eigendata, Numer. Linear Algebra Appl., 16 (2009), pp. 109-128.

  • Z. J. Bai and S. F. Xu, An inexact Newton-type method for inverse singular value problems, Linear Algebra Appl., 429 (2008), pp. 527-547. 

  • Z. J. Bai, Symmetric tridiagonal inverse quadratic eigenvalue problems with partial eigendata, Inverse Problems, 24 (2008) 015005.

  • Z. J. Bai, D. L. Chu, and D. F. Sun, A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure, SIAM J. Sci. Comput., 29 (2007), pp. 2531-2561.

  • Z. J. Bai, D. L. Chu, and R. C. E. Tan, Computing the nearest doubly stochastic matrix with a prescribed entry, SIAM J. Sci. Comput., 29 (2007), pp. 635-655.

  • Z. J. Bai, B. Morini, and S. F. Xu, On the local convergence of an iterative approach for inverse singular value problems, J. Comput. Appl. Math., 198 (2007), pp. 344-360.

  • Z. J. Bai, R. H. Chan, and F. T. Luk, Principal component analysis for distributed data sets with updating, Proceedings of the 6th International Workshop on Advanced Parallel Processing Technologies, Lecture Notes in Computer Science, Vol. 3756, pp. 471-483, Hong Kong, China, October, 2005, Eds: J.N. Cao, W. Nejdl, and M. Xu.

  • Z. J. Bai, The inverse eigenproblem of centrosymmetric matrices with a submatrix constraint and its approximation, SIAM J. Matrix Anal. Appl., 26 (2005), pp. 1100-1114.

  • Z. J. Bai, R. H. Chan, and B. Morini, An inexact Cayley transform method for inverse eigenvalue problems, Inverse Problems, 20 (2004), pp. 1675-1689. 

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简介
 
系别:
信息与计算数学系
办公室:649
教师:白正简
职称:教授
职务:==空==
Phone:2580687
Email:
zjbai@xmu.edu.cn
研究方向:
数值代数