THE EIGENVECTORS OF A COMBINATORIAL MATRIX
THE EIGENVECTORS OF A COMBINATORIAL MATRIX
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,
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- [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.
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi
Sayıdaki Diğer Makaleler
THE EIGENVECTORS OF A COMBINATORIAL MATRIX
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