The Explicit Expressions of Level-k Circulant Matrices of Type（n1,n2.…,nk） and Their Some Properties

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 103-110.

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The Explicit Expressions of Level-k Circulant Matrices of Type（n₁,n₂.…,n_k） and Their Some Properties

Dept. of Math.,Linyi Teachers' College, Linyi,Shangdong,276005;Dept. of Basic,Henan Vocation Technical Teachers' College,Xinxiang,Henan,453003

收稿日期:1996-05-17 出版日期:1996-09-30 发布日期:2025-01-02

The Explicit Expressions of Level-k Circulant Matrices of Type（n₁,n₂.…,n_k） and Their Some Properties

Dept. of Math.,Linyi Teachers' College, Linyi,Shangdong,276005;Dept. of Basic,Henan Vocation Technical Teachers' College,Xinxiang,Henan,453003

Received:1996-05-17 Online:1996-09-30 Published:2025-01-02

摘要/Abstract

摘要： In this paper, we give the explicit expressions of level-k circulant matrices of type (n₁,n₂,…n_k) and of order n₁n₂…n_k,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of the kind level-k circulant matrices are derived,and it is also proved that the sort matrices are unitarily diagonalizable.

关键词: level-k circulant matrices of type(n₁,n_?,…,n_k), explicit expressions, eigenvalues, determinants, inverse matrices unitarily diagonalizable

Abstract: In this paper, we give the explicit expressions of level-k circulant matrices of type (n₁,n₂,…n_k) and of order n₁n₂…n_k,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of the kind level-k circulant matrices are derived,and it is also proved that the sort matrices are unitarily diagonalizable.

Key words: level-k circulant matrices of type(n₁,n_?,…,n_k), explicit expressions, eigenvalues, determinants, inverse matrices unitarily diagonalizable

中图分类号:

O151.21

江兆林, 郭运瑞. The Explicit Expressions of Level-k Circulant Matrices of Type（n₁,n₂.…,n_k） and Their Some Properties[J]. 数学季刊, 1996, 11(3): 103-110.

Jiang Zhaolin, Guo Yunrui. The Explicit Expressions of Level-k Circulant Matrices of Type（n₁,n₂.…,n_k） and Their Some Properties[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 103-110.

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The Explicit Expressions of Level-k Circulant Matrices of Type（n₁,n₂.…,n_k） and Their Some Properties

The Explicit Expressions of Level-k Circulant Matrices of Type（n₁,n₂.…,n_k） and Their Some Properties

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