Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	李蕊副教授，嘉兴学院数学系
Inviter:	白中治研究员
Title:	A Variant Modified Skew-Normal Splitting Iterative Method for Non-Hermitian Positive Definite Linear Systems
Time & Venue:	2021.10.23 10:00-11:00 腾讯会议ID：433 453 491
Abstract:	Non-Hermitian positive definite linear system arises from many applications in the area of scientific computing. In this talk, we propose a variant modified skew-normal splitting iterative method to solve it. Applying the preconditioning technique we also construct the preconditioned version of the proposed method. Theoretical analysis shows that the proposed method is unconditionally convergent even when the real part and the imaginary part of the coefficient matrix are non-symmetric. Meanwhile, when the real part and the imaginary part of the coefficient matrix are symmetric positive definite, we prove that the preconditioned variant modified skew-normal splitting iterative method will also unconditionally converge. Numerical experiments are presented to illustrate the efficiency of the proposed methods and show better performance of it when compared with some other methods.