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Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices

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Applied and Computational Matrix Analysis (MAT-TRIAD 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 192))

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Abstract

In this paper, we obtain a general expression for the entries of the rth (\(r \in {\mathbbm {Z}}\)) power of a certain \(n\times n\) pentadiagonal Toeplitz matrix . Additionally, we present the complex factorizations of Fibonacci polynomials .

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References

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Acknowledgements

The authors are partially supported by TUBITAK and the Office of Selçuk University Research Project (BAP).

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Authors and Affiliations

  1. Science Faculty Department of Mathematic, Selcuk University, Konya, Turkey

    Hatice Kübra Duru & Durmuş Bozkurt

Authors
  1. Hatice Kübra Duru
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  2. Durmuş Bozkurt
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Corresponding author

Correspondence to Hatice Kübra Duru .

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Editors and Affiliations

  1. Department of Mathematics, University of Coimbra, Coimbra, Portugal

    Natália Bebiano

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Kübra Duru, H., Bozkurt, D. (2017). Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices. In: Bebiano, N. (eds) Applied and Computational Matrix Analysis. MAT-TRIAD 2015. Springer Proceedings in Mathematics & Statistics, vol 192. Springer, Cham. https://doi.org/10.1007/978-3-319-49984-0_14

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