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Double circulant matrices

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成果类型:
期刊论文
作者:
Fan, Yun;Liu, Hualu*
通讯作者:
Liu, Hualu
作者机构:
[Liu, Hualu; Fan, Yun] Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China.
通讯机构:
[Liu, Hualu] C
Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China.
语种:
英文
关键词:
15B05;15B33;94B15;Circulant matrix;double circulant matrix;linearly independence;quasi-cyclic code;rank
期刊:
LINEAR & MULTILINEAR ALGEBRA
ISSN:
0308-1087
年:
2018
卷:
66
期:
10
页码:
2119-2137
基金类别:
This work was supported by NSFC [grant number 11271005]. H. Liu was supported by the excellent doctorial dissertation cultivation grant from Central China Normal University.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
Double circulant matrices are introduced and studied. By a matrix-theoretic method, the rank r of a double circulant matrix is computed, 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 squ...

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