Some results on circulant and skew circulant type matrices with k-Fibonacci sequences

[摘要] In this paper, we consider the circulant matrices, skew circulant matrices and skew left circulant matrices with k-Fibonacci sequences. We compute their eigenvalues by diagonalizing these matrices. Furthermore, the maximum column sum matrix norms, the maximum row sum matrix norms, the Frobenius norms, the spectral norms, and the bounds for the spread of these matrices are given with the properties of k-Fibonacci sequences.

[发布机构] Department of Mathematics, Dalian Maritime University, Dalian; 116024, China^1

[效力级别] 数学

[关键词] Circulant matrix;Circulants;Eigenvalues;Fibonacci sequences;Frobenius norm;Matrix norms;Spectral norms