计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (15): 1-5.

• 博士论坛 • 上一篇    下一篇

复奇异鞍点问题预条件修正AHSS法的半收敛性

熊劲松,高兴宝   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 出版日期:2015-08-01 发布日期:2015-08-14

Semi-convergence of preconditioned modified AHSS method for complex singular saddle point problems

XIONG Jinsong, GAO Xingbao   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
  • Online:2015-08-01 Published:2015-08-14

摘要: 提出了求解一类复奇异鞍点问题的预条件修正AHSS法。研究了所提出的新方法的半收敛性。对任意的正迭代参数,得到了所提出的新方法的半收敛定理。数值实验说明,新方法比HSS法求解鞍点问题时更有效。

关键词: 复奇异鞍点问题, 迭代法, 预条件艾尔米特和斜-艾尔米特分裂(HSS)法, 半收敛性

Abstract: This paper proposes preconditioned modified AHSS method for a class of complex singular saddle point problems. It studies the semi-convergence of the proposed new method. For any positive iteration parameters, it obtains the semi-
convergence theorems of the proposed new method. Nnumerical experiments show that the effectiveness of the algorithm outperforms the HSS method.

Key words: complex singular saddle point problems, iteration method, Hermitian and Skew-Hermitian Splitting(HSS) method, semi-convergence