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

Zhaolin Jiang, Yanpeng Gong and Yun Gao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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).

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/238953

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:238953

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().