On the eigenvalues of some tridiagonal matrices
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Abstract (EN)
In this study,by describing characteristic properties of Fibonacci and Lucas numbers Binet formulas of these numbers are examined with the help of recurrence relations.Additionally,the first and the second type of Chebyshev polynomials are some examined.Complex factorizations of Fibonacci and Lucas numbers are indicated.The relation between the determinants of obtained matrices in the end of this factorization and the first and the second type of Chebyshev polynomials are studied.The eigenvalues and inverse of some tridiagonal matrices are given.Finally,it is examined that relation between eigenvalues of the tridiagonal matrices and the second type of Chebyshev polynomials are given.
Author
Simge Odabaş
Institution
How to Cite
Simge Odabaş (Master Thesis). On the eigenvalues of some tridiagonal matrices, 2009, Gazi University, Matematik Bölümü.
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