题目:Kaczmarz-type inner-iteration preconditioned flexible gmres methods for consistent linear systems
报告人:殷俊峰 教授 (同济大学)
时间:2020/6/17(周三)9:30-10:30
腾讯会议ID:300 227 110
腾讯会议密码:200671
摘要:We propose using greedy and randomized Kaczmarz inner-iterations as preconditioners for the right-preconditioned flexible GMRES method to solve consistent linear systems, with a parameter tuning strategy for adjusting the number of inner iterations and the relaxation parameter. We also present theoretical justifications of the right-preconditioned flexible GMRES for solving consistent linear systems. Numerical experiments on overdetermined and underdetermined linear systems show that the proposed method is superior compared to the GMRES method preconditioned by NE-SOR inner iterations in terms of total CPU time.
报告人介绍:殷俊锋,同济大学数学科学学院教授,博士生导师,风险管理研究所成员,上海市浦江人才计划入选者,同济大学优秀青年教师入选者。2010年中国数学会计算数学分会应用数值代数奖获得者,主持多项国家自然科学基金与省部级科研项目,在国际知名期刊上发表多篇高水平的学术论文。