On the complex factorization of the Lucas sequence

In this paper, firstly we present a connection between determinants of tridiagonal matrices and the Lucas sequence. Secondly, we obtain the complex factorization of Lucas sequence by considering how the Lucas sequence can be connected to Chebyshev polynomials by determinants of a sequence of matrice...

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Bibliographic Details
Published in:Applied mathematics letters 2011-08, Vol.24 (8), p.1317-1321
Main Authors: Burcu Bozkurt, Ş., Yılmaz, Fatih, Bozkurt, Durmuş
Format: Article
Language:English
Subjects:
Chebyshev approximation
Determinant
Determinants
Exact sciences and technology
Factorization
Joints
Lucas sequence
Mathematical analysis
Mathematics
Matrices
Matrix methods
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
Tridiagonal matrix
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Summary:In this paper, firstly we present a connection between determinants of tridiagonal matrices and the Lucas sequence. Secondly, we obtain the complex factorization of Lucas sequence by considering how the Lucas sequence can be connected to Chebyshev polynomials by determinants of a sequence of matrices.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.03.001