@Article{JCM-25-5,
author = {},
title = {Structures of Circulant Inverse M-Matrices},
journal = {Journal of Computational Mathematics},
year = {2007},
volume = {25},
number = {5},
pages = {553--560},
abstract = {<p style="text-align: justify;">In this paper, we present a useful result on the structures of circulant inverse M-matrices. It is shown that if the $n\times n$ nonnegative circulant matrix $A=Circ[c_0, c_1, \cdots, c_{n-1}]$ is not a positive matrix and not equal to $c_0 I$, then $A$ is an inverse M-matrix if and only if there exists a positive integer $k$, which is a proper factor of $n$, such that $c_{jk}&gt;0$ for $j=0, 1,\cdots, [\frac{n-k}{k}]$, the other $c_i$ are zero and $Circ[c_0, c_k, \cdots, c_{n-k}]$ is an inverse M-matrix. The result is then extended to the so-called generalized circulant inverse M-matrices.</p>},
issn = {1991-7139},
doi = {https://doi.org/2007-JCM-8712},
url = {https://global-sci.com/article/85026/structures-of-circulant-inverse-m-matrices}
}