摘要
将Hankel矩阵和r 循环矩阵视为某单输入线性系统的可控性矩阵,通过可控性分析讨论了它们的若干性质,得到了Hankel矩阵和r 循环矩阵的可逆条件及求逆的方法.通过一个可逆矩阵可以得到一系列相关的可逆矩阵,并且任一r循环矩阵可逆的概率为1而不可逆的概率为零.为这一类循环矩阵及其相关矩阵的研究提供了一种新的方法.
A kind of circulant matrices, example of Hankel matrices and r-circulant matrices, are viewed as controllability matrices on linear system. And their properties are discussed. The invertible condition and the algorithms for finding inverse matrices are obtained. From any an inverse circulant matrix can deduce a series correlative inverse matrices, and the probability of any an r-circulant matrix invertible is 1. A new method to study the kind of circulant matrices is presented.
出处
《河南科学》
2005年第2期165-168,共4页
Henan Science
基金
国家自然科学基金项目(69874018
79970025)
湖北省教育厅科研计划项目(2002X59)
