On Symmetric 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 Kronegker product, the structure and properties of the symmetric solutions of matrix equation k ∑ i=1 AiXBi = C were studied. Moreover, the relevant itcrative 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 symmetric matriz

作者: Guanghui Fan Aijing Liu Xuehan Cheng

作者单位: Research Center for History of Mathematics and Science, Northwest University, Xian College of Mathematics Science, Qufu Normal University, Qufu, Shandong College of Mathematics and Information, Ludong University, Yantai, Shandong

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: 34-37

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）