Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers

被引：7
作者：
Jiang, Zhaolin [1 ]
Gong, Yanpeng [2 ]
Gao, Yun [2 ]
机构：
[1] Linyi Univ, Dept Math, Linyi 276000, Shandong, Peoples R China
[2] Shandong Univ Technol, Inst Appl Math, Zibo 255049, Shandong, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
ORDER DIFFERENTIAL-EQUATIONS; TOEPLITZ;
D O I：
10.1155/2014/375251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：12
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