报告题目:Look-Back GMRES(m) for Solving Nonsymmetric Linear Systems
报 告 人:张绍良 教授 日本名古屋大学
报告时间:2019年5月30日上午10:00-11:00
报告地点:数学楼一楼第二报告厅
报告摘要:
The GMRES method is one of the most popular Krylov-subspace methods for solving nonsymmetric linear systems. The GMRES method shows a good convergence, but it has disadvantage of storage and computational costs. To remedy the disadvantage, restarted version of the GMRES method, the GMRES(m) method, is widely used as a practical choice. In this talk, we will analyze the unfixed update in GMRES(m) method based on the residual polynomials. Then a GMRES(m) method with Look-Back-type restart will be proposed in the framework of unfixed update. The numerical experiments indicate that the GMRES(m) method Look-Back-type restart is more efficient than the GMRES(m) method in many cases.
报告人简介:
张绍良,日本名古屋大学工学院应用物理系教授,名古屋大学中国交流中心主任。1983年在澳门太阳集团888数学系毕业,1990年在日本筑波大学获工学博士。曾在计算流体力学研究所(研究员),筑波大学(讲师),东京大学(副教授/教授)任职,2005年现职。从事大型科学与工程计算的高速算法研究开发工作。是Society for Industrial and Applied Mathematics (SIAM), Japan Society for Industrial and Applied Mathematics (JSIAM) 的会员,曾任East Asia Section of SIAM的秘书长,4次获JSIAM优秀论文奖。