报 告 人：白中治研究员（中国科学院数学与系统科学研究院）
报告题目：Rotated Block Two-by-Two Preconditioners Based on PMHSS
报告时间：2015年9月30日（周三）下午16:00—17:00
报告地点：静远楼1508学术报告厅
Abstract: Motivated by the HSS iteration method, to solve the distributed control problem we have proposed modified HSS (MHSS) as well as preconditioned and modified HSS (PMHSS) iteration methods. Theoretical analyses and numerical experiments have shown the effectiveness of these iteration methods when used either as linear solvers or as matrix preconditioners for Krylov subspace methods. Moreover, we have developed the PMHSS iteration method to block two-by-two matrices of non-Hermitian sub-blocks, resulting in the additive-type and the rotated block triangular preconditioners. Spectral analyses and numerical computations have shown that these preconditioners can significantly accelerate the convergence rates of the Krylov subspace iteration methods when they are used to solve the block two-by-two linear systems, and the inexact variants these preconditioners are as effective and robust as the corresponding exact ones.
白中治研究员个人简介：中国科学院数学与系统科学研究院研究员、科学与工程计算国家重点实验室 副主任、博士生导师，国家杰出青年科学基金、冯康科学计算奖、国家级“新世纪百千万人才工程计划”以及国务院政府特殊津贴获得者。