The (P,Q) reflezive solutions of the matriz equation AXB = C

摘要：

An n×n complex matrix P is said to be a generalized reflection matrix if pH = p and p2 = I.An n×n complex matrix A is said to be a(P,Q) reflexive (or anti-reflexive) matrix with respect to the generalized reflection matrix dual (P,Q) if A= PAQ (or A=-PAQ). In this paper, we establishes the necessary and sufficient conditions for the existence of and the expressions for the (P,Q) reflexive and anti-reflexive solutions of the matrix equation AXB = C. For the special case when B = I, we get the result of Zhang and Zhou 1.

关键词： (P,Q) reflezive matriz (P,Q) anti-reflezive matriz Matriz equation Moore-Penrose generalized inverse

作者: Jianchen Zhang Shuzi Zhou XiyanHu

作者单位: Hunan University of Science and technology, XiangTan, Peoples Republic of China 411201 College of M College of Mathematics and Econometrics Hunan University, Changsha, Peoples Republic of 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: 1301-1305

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）