## Abstract and Applied Analysis

### Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2014), Article ID 169726, 10 pages.

Dates
First available in Project Euclid: 15 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1429104652

Digital Object Identifier
doi:10.1155/2015/169726

Mathematical Reviews number (MathSciNet)
MR3326637

Zentralblatt MATH identifier
1383.15028

#### Citation

Liu, Li; Jiang, Zhaolin. Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices. Abstr. Appl. Anal. 2015, Special Issue (2014), Article ID 169726, 10 pages. doi:10.1155/2015/169726. https://projecteuclid.org/euclid.aaa/1429104652

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