复矩阵方程组的Hermite解  

Hermite Solutions to Class of Complex Matrix Equations

作　　者：胡志增 杨春花[1] 

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105

出　　处：《洛阳理工学院学报（自然科学版）》2017年第1期84-88,96,共6页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

摘　　要：文章建立了求解矩阵方程组A_1XB_1+C_1D_1=M_1,A_2XB_2+C_2D_2=M_2的Hermite解的迭代算法。在不考虑计算过程中的舍入误差的情况下,任意选取初始矩阵X_1该算法都可以通过有限的迭代步骤内求出该方程组的Hermite解。最后,文章给出了具体例子,通过选取初始矩阵任意Hermite矩阵X_1来检验算法的有效性。The paper is concerned with iterative algorithm for solving the class of complex matrix equations A1XB1＋C1D1=M1,A2XB2＋C2D2=M2.The FIermite solutions are obtained within the finite iteration steps by the iterative algorithm in the absence of roundoff errors for any initial matrix X1. Finally, by selecting any initial matrix X1 , a numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：复矩阵方程 有限迭代算法 共轭 HERMITE解 

分 类 号：O151.24[理学—数学]