A parameter iterative method for the quaternion matriz equation AX+XB=F

摘要：

In this paper, the parameter iterative scheme for solving quaternion linear systems AX + XB = F is structured, and the sufficient and necessary condition of iteration convergence is proved by using right eigenvalue maximum modulus. Then, applying the structure preserving property of the complex representation operation of the quaternion matrix, the iteration is transformed to a iteration in complex field equivalently. It provides a kind of feasible method to solve quaternion linear systems.

关键词： quaternion matriz complez representation structure-preserving parameter iteration right eigenvalue

作者: Yan Yu JingPin Huang

作者单位: College of Math, and Comp.Sci.Guangxi Univ.for Nationalities, Nanning 530006 PRXhina

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1288-1293

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）