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  • Many mathematicins investigated in papers various types of integer matrices the entries of which satisfy a second order recurrence. Some of the authors used methods leading to obtain real or complex factorizations of the Fibonacci or the Lucas numbers. Civciv (2008) computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. His result is given more generally and completely in this paper. It is showed that the determinant of a matrix, the entries of which are the Gibonacci numbers, is related to the values of the Fibonacci polynomial. Calculations are done by using the eigenvalues of the given matrix.
  • Many mathematicins investigated in papers various types of integer matrices the entries of which satisfy a second order recurrence. Some of the authors used methods leading to obtain real or complex factorizations of the Fibonacci or the Lucas numbers. Civciv (2008) computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. His result is given more generally and completely in this paper. It is showed that the determinant of a matrix, the entries of which are the Gibonacci numbers, is related to the values of the Fibonacci polynomial. Calculations are done by using the eigenvalues of the given matrix. (en)
Title
  • The determinant of a special five-diagonal matrix and the Fibonacci polynomials
  • The determinant of a special five-diagonal matrix and the Fibonacci polynomials (en)
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  • The determinant of a special five-diagonal matrix and the Fibonacci polynomials
  • The determinant of a special five-diagonal matrix and the Fibonacci polynomials (en)
skos:notation
  • RIV/00216275:25410/13:39896044!RIV14-MSM-25410___
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  • RIV/00216275:25410/13:39896044
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  • Fibonacci polynomial; eigenvalue; , five-diagonal matrix; determinan; generalized Fibonacci numbers (en)
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  • BG - Bulharská republika
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  • International Journal of Pure and Applied Mathematics
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  • 84
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  • Seibert, Jaroslav
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  • 1311-8080
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  • 25410
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