The Left and Right Eigenvalues of Circulant Matrix over Quaternion Field

被引：0

作者：

Tan, Yun-long ^{[1
]}

Huang, Jing-pin ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Peoples R China

来源：

PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012) | 2012年

关键词：

quaternion circulant matrix; left eigenvalue; right eigenvalue; primitive unit root; inverse problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the n-th primitive unit roots over complex field and_decomposition of a quaternion matrix, the left and right eigenvalues of the n-by-n quaternion circulant matrix are described. At the same time, the necessary and sufficient conditions for the invertible of quaternion circulant matrix are obtained. Finally, the expression of the solution on left eigenvalues inverse problem of quaternion circulant matrix is given.

引用

页码：132 / 135

页数：4

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