Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix

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Kilic E., ARIKAN T.

TURKISH JOURNAL OF MATHEMATICS, vol.40, no.1, pp.80-89, 2016 (SCI-Expanded) identifier identifier

  • 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
  • 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.