基于广义的Sylvester实四元数矩阵方程（英文）  

On a system of generalized Sylvester real quaternion matrix equations

作　　者：李怡君 王卿文[1] LI Yijun;WANG Qingwen(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2018年第3期598-607,共10页Communication on Applied Mathematics and Computation

基　　金：supported by the National Natural Science Foundation of China(11571220)

摘　　要：基于广义Sylvester实圆元数矩阵方程组的解■当A_i,B_i和C_i(i=1,2,3)是被复数矩阵给定的,X,Y,Z和W是可变矩阵.计算耦合广义S_ylvester实四元数矩阵方程组的通解W的秩的极值.This paper is based on the solution to a system of generalized Sylvester real quaternion matrix equations where Ai,Bi and Ci(i=1,2,3)are given complex matrices,X,Y,Z,and W are variable matrices.We carry out the ranges of ranks of the general solution W in the system of coupled generalized Sylvester real quaternion matrix equations.

关 键 词：实四元数矩阵方程 秩 极值 

分 类 号：O151.21[理学—数学]