Explicit inverse matrices of Tribonacci skew circulant type matrices

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摘要

The determinants and inverses of Tribonacci skew circulant type matrices are discussed in the paper. Firstly, Tribonacci skew circulant type matrices are defined. In addition, we show the invertibility of the Tribonacci skew circulant matrix and present the determinant and the inverse matrix based on constructing the transformation matrices. By utilizing the relation between circulant and left circulant, the invertibility of the Tribonacci skew left circulant are also discussed. Finally, the determinants and the inverse matrices of these matrices are given, respectively.

论文关键词:Skew circulant matrix,Skew left circulant matrix,Determinant,Inverse,Tribonacci sequences

论文评审过程:Received 17 March 2015, Revised 20 May 2015, Accepted 24 May 2015, Available online 7 July 2015, Version of Record 7 July 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.05.103