Research Article

Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices

Volume: 14 Number: 2 July 31, 2024
EN

Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices

Abstract

In this article, we give an explicit expression for calculating the arbitrary positive integer powers of the Kronecker sum of two tridiagonal Toeplitz matrices.

Keywords

References

  1. [1] S. Banerjee, A. Roy Linear Algebra and Matrix Analysis for Statistics, Texts in Statistical Science, 2014.
  2. [2] E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, Inc, 2011.
  3. [3] A.J. Laub Matrix Analysis for Scientists and Engineers, Industrial and App Math, SIAM Philadelphia, 2005.
  4. [4] T. Lyche, Numerical Linear Algebra and Matrix Factorizations, Texts in Computational Science and Engineering, Springer, 2020.
  5. [5] J. Rimas, On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order-I, Applied Mathematics and Computation, 171, 2005, 1214-1217.
  6. [6] J. Rimas, On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order-I, Applied Mathematics and Computation, 168, 2005, 783-787.
  7. [7] J. Rimas, On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order-II, Applied Mathematics and Computation, 172, 2006, 245-251.
  8. [8] D.K. Salkuyeh, Positive integer powers of the tridiagonal Toeplitz matrices, International Mathematical Forum, 1(22), 2006, 1061-1065.

Details

Primary Language

English

Subjects

Mathematics Education, Science Education, Science and Mathematics Education (Other)

Journal Section

Research Article

Authors

Youssouf Mezzar * This is me
Algeria

Publication Date

July 31, 2024

Submission Date

May 12, 2023

Acceptance Date

November 29, 2023

Published in Issue

Year 2024 Volume: 14 Number: 2

APA
Mezzar, Y., & Belghaba, K. (2024). Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices. Azerbaijan Journal of Mathematics, 14(2), 46-53. https://izlik.org/JA59DJ28MR
AMA
1.Mezzar Y, Belghaba K. Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices. AZJM. 2024;14(2):46-53. https://izlik.org/JA59DJ28MR
Chicago
Mezzar, Youssouf, and Kacem Belghaba. 2024. “Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices”. Azerbaijan Journal of Mathematics 14 (2): 46-53. https://izlik.org/JA59DJ28MR.
EndNote
Mezzar Y, Belghaba K (July 1, 2024) Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices. Azerbaijan Journal of Mathematics 14 2 46–53.
IEEE
[1]Y. Mezzar and K. Belghaba, “Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices”, AZJM, vol. 14, no. 2, pp. 46–53, July 2024, [Online]. Available: https://izlik.org/JA59DJ28MR
ISNAD
Mezzar, Youssouf - Belghaba, Kacem. “Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices”. Azerbaijan Journal of Mathematics 14/2 (July 1, 2024): 46-53. https://izlik.org/JA59DJ28MR.
JAMA
1.Mezzar Y, Belghaba K. Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices. AZJM. 2024;14:46–53.
MLA
Mezzar, Youssouf, and Kacem Belghaba. “Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices”. Azerbaijan Journal of Mathematics, vol. 14, no. 2, July 2024, pp. 46-53, https://izlik.org/JA59DJ28MR.
Vancouver
1.Youssouf Mezzar, Kacem Belghaba. Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices. AZJM [Internet]. 2024 Jul. 1;14(2):46-53. Available from: https://izlik.org/JA59DJ28MR