On the mazimal Hermitian positive definite solutions of the matriz equation X+A*X-1 A=I

摘要：

We study several iterative methods for the maximal Hermitian positive definite solutions of the matrix equation x+ A*X-1 A=1. In these methods, we can avoid matrix inversion for every iteration called inversion free variant of the basic point iteration. In the end, a numerical example is given to illustrate the effectiveness of these methods.

关键词： Matriz equation Inversion free variant of the basic point iteration Positive definite solution

作者: Li Min Yang Yueting

作者单位: Faculty of Mathematics, Beihua University, Jilin 132033 P.R.China

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: 733-736

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）