Eigenvectors of Block Circulant and Alternating Circulant Matrices

New Zealand Journal of Mathematics (Online)

Garry J. Tee

关键词: eigenvectors;    eigenvalues;    circulant;    block circulant;    spectral radius;    Jordan canonical form;    defective eigenvectors.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

The eigenvectors and eigenvalues of symmetric block circulant matrices had been found, and that method is extended to general block circulant matrices. That analysis is applied to Stephen J.Watson's alternating circulant matrices, which reduce to block circulant matrices with square submatrices of order 2.

【 授权许可】

Unknown