Double Circulant Matrices
Rings and Algebras
2016-01-27 v1
Abstract
Double circulant matrices are introduced and studied. A formula to compute the rank r of a double circulant matrix is exhibited; and it is shown that any consecutive r rows of the double circulant matrix are linearly independent. As a generalization, multiple circulant matrices are also introduced. Two questions on square double circulant matrices are suggested.
Cite
@article{arxiv.1601.06872,
title = {Double Circulant Matrices},
author = {Yun Fan and Hualu Liu},
journal= {arXiv preprint arXiv:1601.06872},
year = {2016}
}