## Abstract and Applied Analysis

### Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers

#### Abstract

Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed. The invertibility of the skew circulant type matrices is considered. The determinant and the inverse matrices are presented. Furthermore, the maximum column sum matrix norm, the spectral norm, the Euclidean (or Frobenius) norm, the maximum row sum matrix norm, and bounds for the spread of these matrices are given, respectively.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2014), Article ID 951340, 9 pages.

Dates
First available in Project Euclid: 15 April 2015

https://projecteuclid.org/euclid.aaa/1429104596

Digital Object Identifier
doi:10.1155/2015/951340

Mathematical Reviews number (MathSciNet)
MR3326645

Zentralblatt MATH identifier
1383.15027

#### Citation

Jiang, Zhaolin; Wei, Yunlan. Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers. Abstr. Appl. Anal. 2015, Special Issue (2014), Article ID 951340, 9 pages. doi:10.1155/2015/951340. https://projecteuclid.org/euclid.aaa/1429104596

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