摘要
本文研究了求双矩阵变量线性矩阵方程组(LMEs)的一种异类约束最小二乘解的问题.通过构造等价的LMEs,并修改共轭梯度法的下降方向及其有关系数,建立了一种迭代算法.算例表明,迭代算法是有效的.
This paper studies the problem of the different constrained least square solution of linear matrix equations with double-matrix-variable. An iterative method is constructed by constructing the equivalent linear matrix equations, and revising the drop direction of the conjugate gradient method and its related coefficient. Two numerical examples are presented to support the theoretical results of this paper.
出处
《数学杂志》
CSCD
北大核心
2013年第3期485-492,共8页
Journal of Mathematics
基金
国家自然科学基金(11071196)
关键词
双矩阵变量LMEs
异类约束最小二乘解
极小范数解
迭代算法
最佳逼近
double-matrix-variable linear matrix equations
different constrained leastsquare solution
least-norm solution
iterative method
optimal approximation
