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

Jia, Ji-Teng; Wang, Jie; He, Qi; Yan, Yu-Cong; YILMAZ, FATİH

doi:10.1007/s12190-022-01774-3

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, cilt.69, sa.1, ss.811-822, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 69 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.1007/s12190-022-01774-3
Dergi Adı: Journal of Applied Mathematics and Computing
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Sayfa Sayıları: ss.811-822
Anahtar Kelimeler: Block diagonalization, Integer powers, k-tridiagonal matrices, Toeplitz matrices, Tridiagonal matrices
Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

© 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.