一类矩阵方程的最小二乘反自反矩阵解  

The Least-squares Anti-reflexive Matrix Solutions of a Class Matrix Equations

作　　者：谷晶[1] 米超群[1] 卞宇婷 

机构地区：[1]东北电力大学理学院

出　　处：《东北电力大学学报》2013年第5期81-84,共4页Journal of Northeast Electric Power University

摘　　要：针对一类矩阵方程组提出了一种新的迭代法求其最小二乘反自反解。首先给出了自反矩阵及反自反矩阵的定义;然后提出了求解矩阵方程组的迭代法,并针对此算法研究了矩阵方程组范数最小的最小二乘反自反矩阵解;最后通过算例阐述了这种迭代方法的有效性。In this paper a new iterative method is presented to find the least-squares anti-reflexive matrix solu-tions of the matrix equations. First gives a reflexive matrix and the definition of anti-reflexive matrices. Then put forward the iterative method of solving matrix equation group and research the minimum norm matrix equations of the least-squares anti-reflexive matrix solutions. Finally a numerical example is given to illustrate the effi-iciency of this iterative method.

关 键 词：矩阵方程组 最小二乘解 迭代法 

分 类 号：O151[理学—数学]