Explicit formula for positive integer powers of k-tridiagonal Toeplitz matrices

Jia J., Wang J., He Q., Yan Y., YILMAZ F.

Journal of Applied Mathematics and Computing, vol.69, no.1, pp.811-822, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 69 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1007/s12190-022-01774-3
  • Journal Name: Journal of Applied Mathematics and Computing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.811-822
  • Keywords: Block diagonalization, Integer powers, k-tridiagonal matrices, Toeplitz matrices, Tridiagonal matrices
  • Ankara Haci Bayram Veli University Affiliated: No

Abstract

© 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.As a generalization of the tridiagonal matrices, k-tridiagonal matrices have been attracted much attention in the last few years. In this paper, we present an explicit expression for the arbitrary positive integer powers of k-tridiagonal matrices with Toeplitz structure. Two numerical examples are given to demonstrate the validity of the proposed results.