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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Then we compute its spectrum by left eigenvectors with a similarity trick.
📌 3 Key Takeaways
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Objective & Hypothesis:The Sylvester matrix was first defined by JJ Sylvester.
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Key Findings & Data:In this paper, we introduce its $2$-periodic generalization.
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Conclusion & Impact:Then we compute its spectrum by left eigenvectors with a similarity trick.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sylvester matrix · spectrum · determinant
Abstract
The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. Chu studied a generalization of the Sylvester matrix. In this paper, we introduce its $2$-periodic generalization. Then we compute its spectrum by left eigenvectors with a similarity trick.
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Cite This Article
KILIÇ, E., ARIKAN, T. (2022). Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix. Turkish Journal of Mathematics, Cilt: 40 - Sayı: 1, 80–89. https://ajindex.com/articles/608022