Sia, Jye Ying* and Ho, Chee-Kit * and Haslinda Ibrahim, and Nazihah Ahmad, (2016) Algebraic properties of generalized Fibonacci Sequence via matrix Methods. Journal of Engineering & Applied Sciences, 11 (11). pp. 2396-2401. ISSN 1816-949X
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Sia Jye Ying Algebraic Properties of Generalized Fibonacci Sequence.pdf Download (126kB) | Preview |
Abstract
Over the past centuries, the fascination over the Fibonacci sequences and their generalizations has been shown by mathematicians and the wider scientific community. While most of the known algebraic properties of these sequences were found based on the well-known Binet formula, new discoveries seemed to have been dwarfed by the nature of the complexity of its methodology. Recently, matrix method has become a popular tool among many researchers working on Fibonacci related sequences. In this study, we investigate the generalized Fibonacci sequence by employing two different matrix methods, namely, the method of diagonalization and the method of matrix collation, making use of several generating matrices. We obtained some new algebraic properties and the sum of the generalized fibonacci sequence with different indices
| Item Type: | Article |
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| Uncontrolled Keywords: | Generalized Fibonacci Sequence; Binet formula; matrix methods; sequences; indices |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Sunway University > School of Mathematical Sciences > Department of Pure and Applied Mathematics |
| Depositing User: | Dr Janaki Sinnasamy |
| Related URLs: | |
| Date Deposited: | 17 Oct 2017 03:42 |
| Last Modified: | 04 Jul 2019 08:06 |
| URI: | http://eprints.sunway.edu.my/id/eprint/592 |
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