Double Circulant Matrices

2016/01/26 by Yun Fan, Fan, Yun, Hualu Liu +1
Mathematics · #15B05 #15B33 #94B15 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:15B05 #msc:15B33 #msc:94B15

paper · pdf · doi:10.48550/arxiv.1601.06872

arxiv created 2016/01/26 · arxiv updated 2016/01/27

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.

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