BibTex RIS Kaynak Göster

THE EIGENVECTORS OF A COMBINATORIAL MATRIX

Yıl 2011, Cilt: 60 Sayı: 1, 9 - 14, 01.02.2011

İlker Akkus

https://doi.org/10.1501/Commua1_0000000665

Öz

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.

Anahtar Kelimeler

Fibonomial coefficients binomial coefficients eigenvector Pascalmatrix

Kaynakça

  • [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.

Yıl 2011, Cilt: 60 Sayı: 1, 9 - 14, 01.02.2011

İlker Akkus

https://doi.org/10.1501/Commua1_0000000665

Öz

Kaynakça

  • [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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

İlker Akkus Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 60 Sayı: 1

Kaynak Göster

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. Şubat 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, sy. 1 (Şubat 2011): 9-14. https://doi.org/10.1501/Commua1_0000000665.
EndNote Akkus İ (01 Şubat 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., c. 60, sy. 1, ss. 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 (Şubat 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, c. 60, sy. 1, 2011, ss. 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.

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

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