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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Then we compute its spectrum by left eigenvectors with a similarity trick.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The Sylvester matrix was first defined by JJ Sylvester.
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Temel Bulgular & Veri:In this paper, we introduce its $2$-periodic generalization.
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Sonuç & Katkı:Then we compute its spectrum by left eigenvectors with a similarity trick.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
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