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Abstract and Applied Analysis
Volume 2014, Article ID 273680, 12 pages
Research Article

Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers

Department of Information and Telecommunications Engineering, University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of Korea

Received 12 April 2014; Accepted 2 May 2014; Published 2 June 2014

Academic Editor: Tongxing Li

Copyright © 2014 Xiaoyu Jiang and Kicheon Hong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices. The techniques used herein are based on the inverse factorization of polynomial. The exact determinants of these matrices involving Perrin, Padovan, Tribonacci, and the generalized Lucas number are given, respectively.