The Toeplitz Solutions of Linear Matriz Equation

摘要：

On the basis of the matrix vector function, the matrix partial vector function was defined. By using the Moore-Penrose inverse and the properties of Kronecker product, the structure and properties of the Toeplitz solutions of matrix equation k∑ i=1 AiXBi = C were studied. Moreover, the relevant iterative algorithm is proposed, and an example is given to verify the effectivity of the given algorithm.

关键词： matriz equation Moore-Penrose inverse vector function Toeplitz matriz

作者: Aijing Liu Xuehan Cheng Guanghui Fan

作者单位: College of Mathematics Science, Qufu Normal University, Qufu, Shandong, 273165 College of Mathematics and Information, Ludong University, Yantai, Shandong, 264025 College of Mathematics Science, Qufu Normal University, Qufu, Shandong, 273165 Research Center for H

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: 754-758

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）