摘要
研究了矩阵方程AX=0解的增长性,并应用解的增长性,通过增长AX=0的一个极大可增长的基础解系的办法,得到了幂矩阵方程AmX=0的基础解系,从而解决了因幂指数m较大以致AmX=0难以求解的问题.
The author of the article studied the increasing character about the solutions of the matrix equation AX =0, with the character, the author gave out the method of solving power matrix equation A^mX = 0, by increasing a maximum suitably increasing basic set of solutions of AX = 0,and solved the difficulty in solving A^mX =0,if the power exponent m is biggish.
出处
《商丘师范学院学报》
CAS
2006年第2期168-170,共3页
Journal of Shangqiu Normal University
关键词
可增长的
幂矩阵
基础解系
若当块
初等因子
suitably increasing
power matrix
basic set of solutions
jordan piece
elementary divisor
