摘要
本文通过友矩阵的特性和矩阵初等变换,推出判断矩阵幂序列收敛性的递推方法,它不但计算简单方便,而且还能解决一些临界收敛性问题.
This paper introduces a recurrence formula for determining the convergency of matrix power sequence, which has been derived from the matrix transformation and the companion matrix character. It is not only easy but also able to determine the critical convergent state.
关键词
矩阵
矩阵变换法
收敛性
幂序列
matrices (mathematics)
characteristic matrix
matrix transform methods
convergence
