An Iterative method for the Symmetric Solutions of the Linear Matriz Equations with Several Variables

摘要：

In this paper, we consider an iterative method to find the symmetric solutions of the linear matrix equations with several variables and its convergence by applying the conjugate gradient method of solving linear algebraic equations and using special transformation and approximate disposal. Then we give the symmetric solution with least norm by choosing a special initial matrix. Moreover, an iterative algorithm is given for it and the numerical examples show that the algorithm is quite efficient.

关键词： linear matriz equations symmetric matriz symmetric solution with least norm iterative method

作者: Kaiyuan Zhang Fengqin Zheng Bingchang Zhou

作者单位: Department of applied mathematics, Northwestern Polytechnical University, Xian 710072

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: 240-242

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）