On the matriz equation X = Q+A*(Im⊕X-C)rA

摘要：

Consider the nonlinear matrix equation X = Q+A*(Im⊕X-C)rA (0<r<1) . the existence and uniqueness of the Hermitian positive definite solution (HPD) which is contained in some subset of the HPD matrices are proved under the condition that Im ⊕ Q > C.An effective algorithm for computing the unique solution is presented.

关键词： Nonlinear matriz equation HPD solution Ezistence and uniqueness

作者: Guozhu Yao Anping Liao Xuefeng Duan

作者单位: College of Mathematics and Computing Science, Changsha University of Science & Technology,Changsha 4 College of Mathematics and Econometrics, Hunan University, Changsha 410082, China School of Mathematics and Computational Science, Guilin University of Electronic Technology,Guilin 5

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: 1207-1211

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）