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2015 Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices
Li Liu, Zhaolin Jiang
Abstr. Appl. Anal. 2015(SI07): 1-10 (2015). DOI: 10.1155/2015/169726


It is a hot topic that circulant type matrices are applied to networks engineering. The determinants and inverses of Tribonacci circulant type matrices are discussed in the paper. Firstly, Tribonacci circulant type matrices are defined. In addition, we show the invertibility of Tribonacci circulant matrix and present the determinant and the inverse matrix based on constructing the transformation matrices. By utilizing the relation between left circulant, g-circulant matrices and circulant matrix, the invertibility of Tribonacci left circulant and Tribonacci g-circulant matrices is also discussed. Finally, the determinants and inverse matrices of these matrices are given, respectively.


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Li Liu. Zhaolin Jiang. "Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices." Abstr. Appl. Anal. 2015 (SI07) 1 - 10, 2015.


Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1383.15028
MathSciNet: MR3326637
Digital Object Identifier: 10.1155/2015/169726

Rights: Copyright © 2015 Hindawi


Vol.2015 • No. SI07 • 2015
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