Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix
Emrah Kılıç, Talha Arıkan · TURKISH JOURNAL OF MATHEMATICS · 2015
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.