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THE EIGENVECTORS OF A COMBINATORIAL MATRIX

Year 2011, Volume: 60 Issue: 1, 9 - 14, 01.02.2011

İlker Akkus

https://doi.org/10.1501/Commua1_0000000665
Cited By: 1

Abstract

In this paper, we derive the eigenvectors of a combinatorial matrix
whose eigenvalues studied by Kilic and Stanica. We follow the method of
Cooper and Melham since they considered the special case of this matrix.

Keywords

Fibonomial coefficients binomial coefficients eigenvector Pascalmatrix

References

  • [1] D. Callan and H. Prodinger, An involutory matrix of eigenvectors, Fibonacci Quart. 41(2) (2003), 105—107.
  • [2] L. Carlitz, The characteristic polynomial of a certain matrix of binomial coefficients, Fibonacci Quart. 3 (1965), 81—89.
  • [3] C. Cooper and R. Kennedy, Proof of a result by Jarden by generalizing a proof by Carlitz, Fibonacci Quart. 33(4) (1995), 304—310.
  • [4] E. Kilic and P. Stanic ˘ a, ˘ Factorizations of binary polynomial recurrences by matrix methods, to be appear in Rocky Mountain J. Math.
  • [5] E. Kilic, G.N. Stanic ˘ a, P. St ˘ anic ˘ a, ˘ Spectral properties of some combinatorial matrices, 13th International Conference on Fibonacci Numbers and Their Applications, 2008.
  • [6] R.S. Melham and C. Cooper, The eigenvectors of a certain matrix of binomial coefficients, Fibonacci Quart. 38 (2000), 123-126.

Year 2011, Volume: 60 Issue: 1, 9 - 14, 01.02.2011

İlker Akkus

https://doi.org/10.1501/Commua1_0000000665
Cited By: 1

Abstract

References

  • [1] D. Callan and H. Prodinger, An involutory matrix of eigenvectors, Fibonacci Quart. 41(2) (2003), 105—107.
  • [2] L. Carlitz, The characteristic polynomial of a certain matrix of binomial coefficients, Fibonacci Quart. 3 (1965), 81—89.
  • [3] C. Cooper and R. Kennedy, Proof of a result by Jarden by generalizing a proof by Carlitz, Fibonacci Quart. 33(4) (1995), 304—310.
  • [4] E. Kilic and P. Stanic ˘ a, ˘ Factorizations of binary polynomial recurrences by matrix methods, to be appear in Rocky Mountain J. Math.
  • [5] E. Kilic, G.N. Stanic ˘ a, P. St ˘ anic ˘ a, ˘ Spectral properties of some combinatorial matrices, 13th International Conference on Fibonacci Numbers and Their Applications, 2008.
  • [6] R.S. Melham and C. Cooper, The eigenvectors of a certain matrix of binomial coefficients, Fibonacci Quart. 38 (2000), 123-126.
There are 6 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

İlker Akkus This is me

Publication Date February 1, 2011
Published in Issue Year 2011 Volume: 60 Issue: 1

Cite

APA Akkus, İ. (2011). THE EIGENVECTORS OF A COMBINATORIAL MATRIX. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 60(1), 9-14. https://doi.org/10.1501/Commua1_0000000665
AMA Akkus İ. THE EIGENVECTORS OF A COMBINATORIAL MATRIX. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2011;60(1):9-14. doi:10.1501/Commua1_0000000665
Chicago Akkus, İlker. “THE EIGENVECTORS OF A COMBINATORIAL MATRIX”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60, no. 1 (February 2011): 9-14. https://doi.org/10.1501/Commua1_0000000665.
EndNote Akkus İ (February 1, 2011) THE EIGENVECTORS OF A COMBINATORIAL MATRIX. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60 1 9–14.
IEEE İ. Akkus, “THE EIGENVECTORS OF A COMBINATORIAL MATRIX”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 60, no. 1, pp. 9–14, 2011, doi: 10.1501/Commua1_0000000665.
ISNAD Akkus, İlker. “THE EIGENVECTORS OF A COMBINATORIAL MATRIX”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60/1 (February 2011), 9-14. https://doi.org/10.1501/Commua1_0000000665.
JAMA Akkus İ. THE EIGENVECTORS OF A COMBINATORIAL MATRIX. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60:9–14.
MLA Akkus, İlker. “THE EIGENVECTORS OF A COMBINATORIAL MATRIX”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 60, no. 1, 2011, pp. 9-14, doi:10.1501/Commua1_0000000665.
Vancouver Akkus İ. THE EIGENVECTORS OF A COMBINATORIAL MATRIX. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60(1):9-14.

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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