Toeplitz matrices and recurrence relations
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Abstract (EN)
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.
Author
Mustafa Aşcı
How to Cite
Mustafa Aşcı (Doctorate thesis). Toeplitz matrices and recurrence relations, 2010, Gazi University.
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