A FORMULA FOR COMPUTING INTEGER POWERS FOR ONE TYPE OF TRIDIAGONAL MATRIX

Kiyak H., Gurses I., YILMAZ F., Bozkurt D.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.39, no.3, pp.351-363, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3
  • Publication Date: 2010
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.351-363
  • Keywords: Tridiagonal matrix, Matrix power, Eigenvalues, Chebyshev polynomial
  • Ankara Haci Bayram Veli University Affiliated: Yes

Abstract

In this paper, we derive the general expression of the r(th) power (r is an element of N) for one type of tridiagonal matrix.