Determinants and inverses of circulant matrices with complex Fibonacci numbers


ALTINIŞIK E. , Yalcin N. F. , BÜYÜKKÖSE Ş.

SPECIAL MATRICES, vol.3, no.1, pp.82-90, 2015 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 3 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1515/spma-2015-0008
  • Title of Journal : SPECIAL MATRICES
  • Page Numbers: pp.82-90

Abstract

Let F-n = circ (F-1*, F-2*,..., F-n*) be the n x n circulant matrix associated with complex Fibonacci numbers F-1*, F-2*,..., F-n*. In the present paper we calculate the determinant of F-n in terms of complex Fibonacci numbers. Furthermore, we show that F-n is invertible and obtain the entries of the inverse of F-n in terms of complex Fibonacci numbers.