Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1503-46
Keywords
Sylvester matrix, spectrum, determinant
First Page
80
Last Page
89
Recommended Citation
KILIÇ, EMRAH and ARIKAN, TALHA
(2016)
"Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix,"
Turkish Journal of Mathematics: Vol. 40:
No.
1, Article 7.
https://doi.org/10.3906/mat-1503-46
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss1/7