Determinants and inverses of circulant matrices with complex Fibonacci numbers

• Autorzy: Ercan Altınışık , N. Feyza Yalçın , Şerife Büyükköse
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Circulant matrix; determinant; complex Fibonacci sequence; Fibonacci sequence

Kategorie tematyczne

• 11B39: Fibonacci and Lucas numbers and polynomials and generalizations
• 15A15: Determinants, permanents, other special matrix functions
• 15B05: Toeplitz, Cauchy, and related matrices

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-01-28

zaakceptowano

2015-04-15

online

2015-04-24

Twórcy

autor

Ercan Altınışık

• Gazi University, Faculty of Science, Department of Mathematics, Teknikokullar TR-
  06500, Ankara, Turkey

autor

N. Feyza Yalçın

• Harran University, Faculty of Arts and Sciences, Department of Mathematics, 63290, Şanlıurfa, Turkey

autor

Şerife Büyükköse

• Gazi University, Faculty of Science, Department of Mathematics, Teknikokullar TR-
  06500, Ankara, Turkey

Bibliografia

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Identyfikatory

DOI

10.1515/spma-2015-0008