Positive integer powers of one type of complex tridiagonal matrix
type: Item
instance of: scholarly article
title: Positive integer powers of one type of complex tridiagonal matrix
zbMATH Open document ID: 1300.47039
author: Ahmet Öteleş
author: Mehmet Akbulak
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2014-11-19T00:00:00Z
full work available at URL: vol37 4 6.html
review text: This paper considers tridiagonal matrices with main diagonal $(a,\ldots,a)$, the superdiagonal $(2b,b,\ldots,b)$, and subdiagonal $(-b,\ldots,-b)$. The main results on the determinant, eigenpairs, and powers, are straightforward consequences of the papers by \textit{J. Rimas} [Appl. Math. Comput. 190, No. 2, 1466--1471 (2007; Zbl 1153.65335); ibid. 189, No. 2, 1916--1920 (2007; Zbl 1153.65334)], where $a=0$ and $b=1$. We can also find them in the paper by \textit{H.-W. Chang} et al. [Linear Algebra Appl. 430, No. 4, 999--1006 (2009; Zbl 1167.15006)].
Mathematics Subject Classification ID: 47B36
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6371288
zbMATH Keywords: tridiagonal matrices
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: Jordan normal form
zbMATH Keywords: Chebyshev polynomials
reviewed by: C. M.da Fonseca
describes a project that uses: Maple
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6371288