Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix

Authors

EMRAH KILIÇ
TALHA ARIKAN

DOI

10.3906/mat-1503-46

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

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