Iterative Convergence Analysis of Sub-positive Definite Linear Systems over Quaternion Field

摘要：

In this paper,we discuss convergent splittings of sub-positive definite matrix A over quaternion field. Meanwhile,the QSOR iterative algorithm of the subpositive definite linear systems AX=B over quaternion field are structured,and convergence of the algorithm is described by using right eigenvalue maximum norm of the quaternion matrix,and the optimal range of parameters are obtained. Secondly,applying the structure preserving iterative of QSOR to realize numerical solutions of the linear systems. The numerical results indicate the method presented in this paper is feasible and efficient.

关键词： sub-positive definite matrix convergent splitting QSOR iterative right eigenvalue maximum norm

作者: Huang Jingpin

作者单位: College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,China

会议类型: 国际会议

会议名称: 2010 International Forum on Computer Science-Technology and Applications(2010 国际计算机科学技术应用论坛 IFCSTA 2010)

会议地点: 南宁

会议语种:英文

页码: 29-31

在线出版日期: 2010-12-10（万方平台首次上网日期，不代表论文的发表时间）