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数学学院、所系列学术报告(727场):日本名古屋大学张绍良教授

admin 发表于: 2017-08-11 20:20  点击:450

题 目: A Class of Product-type Krylov-subspace Methods for Solving Nonsymmetric Linear Systems

报告人:日本名古屋大学 张绍良教授

时 间: 2017 年 8 月 14 日 10:00-11:00

地 点:数学楼202室

摘要: In the present talk, a class of product-type Krylov-subspace methods for solving nonsymmetric linear systems is discussed. A characteristic of this class is the relationship r_n = H_n(A) r_n^{bcg} where r_n is the residual vector corresponding to the n-th iterate x_n, and r_n^{bcg} is the n-th residual generated in Bi-CG. The polynomial H_n is chosen to speed up and stabilize convergence, while satisfying standard three-term recurrence relations. These product-type methods can be regarded as unifications and generalizations of CGS and Bi-CGSTAB.