Computing Positive Integer Powers of Certain Tridiagonal and Anti-Tridiagonal Matrices

Authors

  • Mohammad Beiranvand Department of Mathematics, Lorestan University, Khorramabad, Iran.
  • Mojtaba Ghasemi Kamalvand Department of Mathematics, Lorestan University, Khorramabad, Iran.

DOI:

https://doi.org/10.9734/bpi/ratmcs/v2/5502A

Keywords:

Eigenvalues, eigenvector, positive powers, tridiagonal matrices

Abstract

In this chapter, we derive a general expression for the entries of the mth (m 2 N) power for two certain types of tridiagonal matrices of arbitrary order. We also present a method for computing the positive integer powers of the one type of the anti-tridiagonal matrices corresponding to the matrix. Additionlly, we provide Maple 18 procedures in order to verify our calculations.

Published

2023-07-01

How to Cite

Mohammad Beiranvand, & Mojtaba Ghasemi Kamalvand. (2023). Computing Positive Integer Powers of Certain Tridiagonal and Anti-Tridiagonal Matrices. Research and Applications Towards Mathematics and Computer Science Vol. 2, 170–178. https://doi.org/10.9734/bpi/ratmcs/v2/5502A

Issue

Research and Applications Towards Mathematics and Computer Science Vol. 2

Section

Chapters