Complex Factorizations of the Lucas Sequences via Matrix Methods
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-02
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices.
Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev polynomials of the second kind.
Furthermore, we also obtain the complex factorizations of the second Lucas sequence by the similar matrix method using Chebyshev polynomials of the first kind.
American Psychological Association (APA)
Wu, Honglin. 2014. Complex Factorizations of the Lucas Sequences via Matrix Methods. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-468170
Modern Language Association (MLA)
Wu, Honglin. Complex Factorizations of the Lucas Sequences via Matrix Methods. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-468170
American Medical Association (AMA)
Wu, Honglin. Complex Factorizations of the Lucas Sequences via Matrix Methods. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-468170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468170
