摘要
本文利用矩阵的奇异值分解和广义值分解 ,给出了矩阵方程AXB =C的亚 (半 )正定解存在的充分必要条件 ,同时也给出了AXB =C的亚 (半 )正定解的一般表达式。
This paper based on the singular-value and generalized value decomposition of matrix equation, presents the necessary and sufficient conditions for the consistency of the equation AXB=C with a metapositive (semi)definite condition on solution is derived,as well as it gives a general expression of the metapositive (semi)definite solutions of matrix equation.
出处
《常州信息职业技术学院学报》
2003年第4期33-35,共3页
Journal of Changzhou College of Information Technology
关键词
矩阵方程
AXB=C
亚正定解
奇异值
广义值
matrix equation
generalized singular-value decomposition
metapositive semi-definite matrices
