The Least Squares Symmetric Solutions of the Matriz Equation AXB +CYD+ PZQ = F

摘要：

In the paper, by using Moore-Penrose generalized inverse and Kroneeher product of matrices, the least square symmetric solution for matrix equation AXB+CYD+PZQ=F has been researched. The expression of general solution has been given. The sufficiency and necessary condition of the symmetric solution exist for the matrix equation is also considered. By way of infer, the symmetric solution exist of the inverse problem for the matrix equation AX+BY+CZ=F is considered.

关键词： matriz equation symmetric matriz least square solution inverse problem Kronecker product least norm

作者: Xiangrong Wang Yandong Yuan Zhongcheng Liu

作者单位: Department of Mathematics, Cangzhou Teachers College, Cangzhou, Hebei, 061001, China Dept.of Basic Course.Cangzhou Vocational College of Technology, Cangzhou, Hebei, 061001

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: 1082-1086

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）