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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper we obtain a determinant formula for the circulant matrix A=circ(a_1,a_2,...,a_n), providing a generalization of determinantal results in papers of Bozkurt [2], Bozkurt and Tam [3], and Shen, et al. [8].
📌 3 Key Takeaways
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Objective & Hypothesis:Let {a_k} be a sequence of real numbers defined by an mth order linear homogenous recurrence relation.
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Key Findings & Data:Let {a_k} be a sequence of real numbers defined by an mth order linear homogenous recurrence relation.
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Conclusion & Impact:In this paper we obtain a determinant formula for the circulant matrix A=circ(a_1,a_2,...,a_n), providing a generalization of determinantal results in papers of Bozkurt [2], Bozkurt and Tam [3], and Shen, et al. [8].
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:circulant matrix · determinant · Fibonacci sequence
Abstract
Let {a_k} be a sequence of real numbers defined by an mth order linear homogenous recurrence relation. In this paper we obtain a determinant formula for the circulant matrix A=circ(a_1,a_2,...,a_n), providing a generalization of determinantal results in papers of Bozkurt [2], Bozkurt and Tam [3], and Shen, et al. [8].
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Cite This Article
ALTINIŞIK, E., BÜYÜKKÖSE, Ş. (2015). Determinants of Circulant Matrices with Some Certain Sequences. Gazi University Journal of Science, Cilt: 28 - Sayı: 1, 59–63. https://ajindex.com/articles/254736