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Polynomial Fibonacci–Hessenberg matrices

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  • Esmaeili, Morteza
  • Esmaeili, Mostafa

Abstract

A Fibonacci–Hessenberg matrix with Fibonacci polynomial determinant is referred to as a polynomial Fibonacci–Hessenberg matrix. Several classes of polynomial Fibonacci–Hessenberg matrices are introduced. The notion of two-dimensional Fibonacci polynomial array is introduced and three classes of polynomial Fibonacci–Hessenberg matrices satisfying this property are given.

Suggested Citation

  • Esmaeili, Morteza & Esmaeili, Mostafa, 2009. "Polynomial Fibonacci–Hessenberg matrices," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2820-2827.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2820-2827
    DOI: 10.1016/j.chaos.2008.10.012
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    References listed on IDEAS

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    1. Esmaeili, M. & Gulliver, T.A. & Kakhbod, A., 2009. "The Golden mean, Fibonacci matrices and partial weakly super-increasing sources," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 435-440.

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