Determinants and inverses of circulant matrices with complex Fibonacci numbers
Ercan Altınışık ; N. Feyza Yalçın ; Şerife Büyükköse
Special Matrices, Tome 3 (2015), / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:270970 
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     author = {Ercan Alt\i n\i \c s\i k and N. Feyza Yal\c c\i n and \c Serife B\"uy\"ukk\"ose},
     title = {Determinants and inverses of circulant matrices with complex Fibonacci numbers},
     journal = {Special Matrices},
     volume = {3},
     year = {2015},
     zbl = {1315.15028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0008}
}

Ercan Altınışık; N. Feyza Yalçın; Şerife Büyükköse. Determinants and inverses of circulant matrices with complex Fibonacci numbers. Special Matrices, Tome 3 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2015-0008/

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