Invertibility and Explicit Inverses of Circulant-Type Matrices with k -Fibonacci and k -Lucas Numbers

Joint Authors

Gong, Yanpeng
Gao, Yun
Jiang, Zhao-lin

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-20

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

Circulant matrices have important applications in solving ordinary differential equations.

In this paper, we consider circulant-type matrices with the k -Fibonacci and k -Lucas numbers.

We discuss the invertibility of these circulant matrices and present the explicit determinant and inverse matrix by constructing the transformation matrices, which generalizes the results in Shen et al.

(2011).

American Psychological Association (APA)

Jiang, Zhao-lin& Gong, Yanpeng& Gao, Yun. 2014. Invertibility and Explicit Inverses of Circulant-Type Matrices with k -Fibonacci and k -Lucas Numbers. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033624

Modern Language Association (MLA)

Jiang, Zhao-lin…[et al.]. Invertibility and Explicit Inverses of Circulant-Type Matrices with k -Fibonacci and k -Lucas Numbers. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033624

American Medical Association (AMA)

Jiang, Zhao-lin& Gong, Yanpeng& Gao, Yun. Invertibility and Explicit Inverses of Circulant-Type Matrices with k -Fibonacci and k -Lucas Numbers. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033624

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033624