Abstract and Applied Analysis

On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers

Zhaolin Jiang, Jinjiang Yao, and Fuliang Lu

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Abstract

Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers. We discuss the invertibility of the skew circulant type matrices and present explicit determinants and inverse matrices of them by constructing the transformation matrices. Furthermore, the maximum column sum matrix norm, the spectral norm, the Euclidean (or Frobenius) norm, and the maximum row sum matrix norm and bounds for the spread of these matrices are given, respectively.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 483021, 10 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412278510

Digital Object Identifier
doi:10.1155/2014/483021

Mathematical Reviews number (MathSciNet)
MR3226198

Zentralblatt MATH identifier
07022464

Citation

Jiang, Zhaolin; Yao, Jinjiang; Lu, Fuliang. On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 483021, 10 pages. doi:10.1155/2014/483021. https://projecteuclid.org/euclid.aaa/1412278510


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