摘要
利用Jordan标准形理论和最小多项式理论讨论特殊Sylvester矩阵方程AX=XB有非零解的充要条件以及解的结构和性质,给出了在有非零解的条件下其解空间的维数定理,并考虑了更特殊的方程AX=XA的解空间的结构.
In this paper,using Jordan theory and theory of minimal polynomial,we discuss the specialSylvester matrix equation AX=XB, which has nonzero solutions with necessary and sufficient condition andthe structure and property of solution. A theorem of dimension of solution space has been given. Finally,thestructure of solution space of the more special matrix equation AX=XA has been discussed.
作者
曾庆怡
ZENG Qing-yi(College of Mathematics and Statistics,Shaoguan University,Shaoguan 512005,Guangdong,China)
出处
《韶关学院学报》
2018年第3期1-6,共6页
Journal of Shaoguan University
基金
广东省创新强校项目(2016KTSCX128)
