COSAM » Events » 2015 » October » Colloquium: Zhong-Zhi Bai

Colloquium: Zhong-Zhi Bai
Time: Oct 30, 2015 (02:00 PM)
Location: Parker Hall 301


Speaker: Zhong-Zhi Bai, State Key Laboratory of Scientific/ Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Title:  On SSOR-like Preconditioners for Non-Hermitian Positive Definite Matrices

Abstract:  We construct and analyze and implement SSOR-like preconditioners for non-Hermitian positive definite system of linear equations when its coefficient matrix possesses either a dominant Hermitian part or a dominant skew-Hermitian part. We derive tight bounds for eigenvalues of the preconditioned matrices and obtain convergence rates of the corresponding SSOR-like iteration methods as well as the corresponding preconditioned GMRES iteration methods. Numerical implementations show that Krylov subspace iteration methods such as GMRES, when accelerated by the SSOR-like preconditioners, are efficient solvers for these classes of non-Hermitian positive definite linear systems.

Faculty host:  Tin-Yau Tam

Remark: This is a joint event of the Applied Mathematics Seminar and Colloquium 

About the Speaker: Zhong-Zhi Bai, a full professor of Academy of Mathematics and Systems Science, Chinese Academy of Sciences, is working on numerical linear and nonlinear algebra with applications, parallel computations, and numerical differential equations. As an author of more than 200 journal papers, he has given numerous invited lectures and talks, and organized many international conferences and workshops. He is an editor of more than 15 journals like Numerical Linear Algebra with Applications and Numerical Algorithms, as well as an editor of many special issues on journals like Linear Algebra and its Applications and BIT Numerical Mathematics. He also visited ETH Zurich, Oxford University, Stanford University, University of California at Berkeley, University of Tokyo, etc. He obtained the Young Scientist Prize of the Chinese Academy of Sciences in 1999, Feng Kang Prize on Scientific Computing in 2009, and the National Science Fund for Distinguished Young Scholars in 2005.

Faculty host: Tin-Yau Tam


Refreshments at 1:30

Last updated: 10/26/2015