Eigenvalues and eigenvectors of Brualdi-Li tournament matrices
Abstract
In this paper, we obtain the result that the characteristic polynomial and the right(left) eigenvectors of Brualdi-Li tournament matrices by new methods, and that the Brualdi-Li tournament matrix has exactly one positive eigenvalue and exactly one negative eigenvalue and the others are complex numbers. In addition, we give that some properties for the eigenvalues and the right(left) eigenvector of Brualdi-Li tournament matrices.
Copyright © 2017 Chen Xiaogen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
C. Xiaogen, Eigenvalues and eigenvectors of Brualdi-Li tournament matrices, J. Math. Comput. Sci. 7 (2017), 699–724.
BibTeX
@article{Xiaogen2017,
author = {Xiaogen, Chen},
title = {Eigenvalues and eigenvectors of Brualdi-Li tournament matrices},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {699--724},
doi = {}
}