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Department of Computer Science Colloquium
2017 Series

On Regularized HSS Iteration Method for Saddle-Point Linear Systems

Prof. Zhong-Zhi Bai
Engineering Computing, Academy of Mathematics and Systems Science
Chinese Academy of Sciences

Date: May 17, 2017 (Wednesday)
Time: 5:00 - 6:00 pm
Venue: SCT909, Cha Chi Ming Science Tower, Ho Sin Hang Campus

We report results on the regularized Hermitian and skew-Hermitian splitting method for the solution of large, sparse linear systems in saddle-point form. This method can be used as a stationary iterative solver or as a preconditioner for Krylov subspace iteration methods. We present unconditional convergence of the stationary iteration and examine the spectral property of the corresponding preconditioned matrix. Inexact variants are also discussed. Numerical results show that optimal convergence behavior can be achieved when using the proposed preconditioners to accelerate the convergence rates of the Krylov subspace iteration methods.

Zhong-Zhi Bai is a full professor of Academy of Mathematics and System Sciences of Chinese Academy of Sciences. His main research subjects are numerical linear and nonlinear algebra as well as parallel computations with applications.

He received B.Sc. and M.Sc. degrees from Lanzhou University in 1985 and 1988, respectively, and Ph.D. degree from Shanghai University of Science and Technology in 1993. Then, he worked in the Mathematics Institute of Fudan University as a post-doctoral fellow from July 1993 to July 1995. He joined the Institute of Computational Mathematics and Scientific/Engineering Computing of the Chinese Academy of Sciences as an associate professor in July 1995. Since December 1998, he has been a full professor of the Academy of Mathematics and Systems Science.

Since 1997, he has visited ETH Zurich, Katholieke University Nijmegen, Lawrence Berkeley National Laboratory, Oxford University, Rutherford Appleton Laboratory, Stanford University, Southern Federal University, University of Hong Kong, University of California at Berkeley, University of Tokyo, Uppsala University, and etc.

He was a standing member and secretary-general of China Society of Computational Mathematics and a member of China Society of Industrial and Applied Mathematics. He has been involved in the organizations of many international conferences on numerical algebra and scientific computing by serving as the members of the organizing, the program and the scientific committees, and the co-chairs of the conferences. Now, he is the editors of more than 15 top journals in the area of numerical analysis and scientific computing such as “Journal of Computational and Applied Mathematics”, “Numerical Algorithms” and “Numerical Linear Algebra with Applications”. He has mainly studied high-performance numerical methods, synchronous and asynchronous parallel iterative methods, and their convergence and complexity theories for large sparse linear and nonlinear systems of equations, and variational and complementarity problems. As an author of more than 200 journal papers, he has delivered many academic lectures in institutes and universities in England, Holland, Hong Kong, Japan, Russian, Sweden, Switzerland and USA. Also, he has been awarded many prizes such as The Young Scientist Prize (2nd grade) of Chinese Academy of Sciences, and Feng Kang Prize on Scientific Computing.

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