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2014 Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers
Zhaolin Jiang, Yanpeng Gong, Yun Gao
Abstr. Appl. Anal. 2014(SI53): 1-12 (2014). DOI: 10.1155/2014/375251

Abstract

Circulant type matrices have become an important tool in solving differential equations. In this paper, we consider circulant type matrices, including the circulant and left circulant and g -circulant matrices with the sum and product of Fibonacci and Lucas numbers. Firstly, we discuss the invertibility of the circulant matrix and present the determinant and the inverse matrix by constructing the transformation matrices. Furthermore, the invertibility of the left circulant and g -circulant matrices is also discussed. We obtain the determinants and the inverse matrices of the left circulant and g -circulant matrices by utilizing the relation between left circulant, and g -circulant matrices and circulant matrix, respectively.

Citation

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Zhaolin Jiang. Yanpeng Gong. Yun Gao. "Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers." Abstr. Appl. Anal. 2014 (SI53) 1 - 12, 2014. https://doi.org/10.1155/2014/375251

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022251
MathSciNet: MR3226190
Digital Object Identifier: 10.1155/2014/375251

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
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