群逆阵和循环矩阵在整数迭代中的应用

Application of Group Inverses and Circulant Matrices in Iterated Functions of Integers

基于群逆阵和循环矩阵的基本特征,该文阐述这2类矩阵在整数迭代函数中的一种重要应用。提出了为研究整数迭代函数中自然出现的一类循环矩阵建立了Moore-Penrose形式的广义逆。

Based on fundamental properties of matrix group inverses and circulant matrices, this paper describes a particular application in both of the above concepts of iterated functions of integers. In particulars form of the Moore-Penrose generalized inverse of a type of circulant matrix is established, which arises naturally in iterated functions of integers.