Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix

Authors : Emrah KILIÇ, Talha ARIKAN

Pages : 80-89

View : 8 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

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