Some conditions for the ezistence of a positive definite solution of the matriz equation X +∑A*iX-1=I

摘要：

In this paper, we study the matrix equation X + ∑A*iX-1A1=I,where Ai,i = 1, 2,..., m are square matrices. We obtain some conditions for the existence of a positive definite solution of the equation.

关键词： nonlinear matriz equation positive definite solution

作者: Jianhui Long Youmei He

作者单位: Department of Mathematics and Physics, Fujian University of Technology, FuZhou, 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: 119-121

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）