Research Information System
Thesis Type: Doctorate
Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2010
Student: MUSTAFA AŞCI
Supervisor: DURSUN TAŞCI
Abstract:In this study, factorizations of Pascal matrix involving k − order Fibonacci matrix is obtained. Additionally, by using k − order Fibonacci recurrence relation, generalized k − order Fibonacci recurrence and generalized k − order Fibonacci matrix are obtained. By factorizing k − order Fibonacci matrix the inverse of this matrix is obtained. Using the definition of Pascal matrix the generalized F − nomial Pascal matrix is defined and the inverse is obtained. Finally, the generalized F − nomial Pascal matrix is factorized via generalized k − order Fibonacci matrix.