用正交投影迭代法求矩阵方程AXA^H=B的Hermite解  

Orthogonal Projection Iterative Method for the Hermite Solution of Matrix Equation AXA^H= B

作　　者：李阊[1] 周富照[1] 徐波[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,长沙410004

出　　处：《数学理论与应用》2013年第2期61-65,共5页Mathematical Theory and Applications

摘　　要：本文讨论了矩阵方程AXAH=B的Hermite解及其最佳逼近的正交投影迭代法,证明了算法的收敛性,得到收敛速率的估计式.通过数值试验也检验了算法的有效性.In this paper, an orthogonal projection iterative method is given for finding the hermitian solution of the matrix equation AXA^H = B, the convergence of the algorithm is proved, and the convergence rate of the algorithm is estimated. The efficiency of our method is showed by numerical experiments.

关 键 词：HERMITE解 正交投影迭代法 极小范数解 

分 类 号：O241.6[理学—计算数学]