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.
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
关键词
矩阵方程组
最小二乘解
迭代法
Matrix equations
Least-squares solution
Iterative method
