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  • Many authors investigated various matrices whose entries are the Fibonacci or the Lucas numbers. Some of them used methods leading to obtain certain real or complex factorizations of the mentioned numbers. Civciv computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. Some of his results are put more precisely, completed and generalized in this contribution. Especially the determinant of a five-diagonal matrix with the Gibonacci numbers is determined by using the eigenvalues of this matrix.
  • Many authors investigated various matrices whose entries are the Fibonacci or the Lucas numbers. Some of them used methods leading to obtain certain real or complex factorizations of the mentioned numbers. Civciv computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. Some of his results are put more precisely, completed and generalized in this contribution. Especially the determinant of a five-diagonal matrix with the Gibonacci numbers is determined by using the eigenvalues of this matrix. (en)
Title
  • On the determinant of a special matrix with the Gibonacci numbers
  • On the determinant of a special matrix with the Gibonacci numbers (en)
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  • On the determinant of a special matrix with the Gibonacci numbers
  • On the determinant of a special matrix with the Gibonacci numbers (en)
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  • RIV/00216275:25410/11:39892281!RIV12-MSM-25410___
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  • 218194
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  • RIV/00216275:25410/11:39892281
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  • eigenvalues; five-diagonal matrix; determinant; Gibonacci numbers; Fibonacci numbers (en)
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  • [4D3BEDC81556]
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  • Bratislava
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  • Proceedings of the 10th International conference Aplimat 2011
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  • Seibert, Jaroslav
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  • Slovenská technická univerzita v Bratislave
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  • 978-80-89313-51-8
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  • 25410
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