Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix

Authors : Emrah Kiliç, Talha Arikan

Pages : 80-89

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Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : Sylvester matrix, spectrum, determinant