Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix
TURKISH JOURNAL OF MATHEMATICS, vol.40, no.1, pp.80-89, 2016 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 40 Issue: 1
- Publication Date: 2016
- Doi Number: 10.3906/mat-1503-46
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.80-89
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
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.