不相容矩阵方程AXB=D的反中心对称迭代解  

Iterative Solutions of the Inconsistent Matrix Equation AXB=D in Anti-centrosymmetric Matrix Set

作　　者：方玲[1] 李玻[1] 付诗禄[1] 林琼[1] 

机构地区：[1]后勤工程学院基础部

出　　处：《后勤工程学院学报》2010年第4期86-91,共6页Journal of Logistical Engineering University

摘　　要：研究了不相容矩阵方程AXB=D的反中心对称最佳逼近解，基于经典共轭梯度法思想，构造了求解这一问题的迭代算法，证明了该算法的有限终止性并给出了该方法的误差估计，最后利用具体的数值例子验证了算法的有效可行性。An iteration method based On the idea of the classical CG method for the matrix equation AXB = D is constructed in this paper. By this method, the best approximation solution of AXB = D in anti-centrosymmetric matrix set is given. The limited ter- mination of the algorithm is proved. Then an error bound is given. Finally, numerical examples to show the feasibility and accuracy of this method are reported.

关 键 词：反中心对称矩阵 最小二乘解 最小范数解 迭代法 

分 类 号：O241.6[理学—计算数学]