Research Article
BibTex RIS Cite
Year 2024, Volume: 14 Issue: 2, 46 - 53, 31.07.2024

Abstract

References

  • [1] S. Banerjee, A. Roy Linear Algebra and Matrix Analysis for Statistics, Texts in Statistical Science, 2014.
  • [2] E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, Inc, 2011.
  • [3] A.J. Laub Matrix Analysis for Scientists and Engineers, Industrial and App Math, SIAM Philadelphia, 2005.
  • [4] T. Lyche, Numerical Linear Algebra and Matrix Factorizations, Texts in Computational Science and Engineering, Springer, 2020.
  • [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] 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] 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] D.K. Salkuyeh, Positive integer powers of the tridiagonal Toeplitz matrices, International Mathematical Forum, 1(22), 2006, 1061-1065.
  • [9] C.F. Van Loan, The ubiquitous Kronecker product, Journal of Computational and Applied Mathematics, 123, 2000, 85-100.
  • [10] H. Zhang, F. Ding, On the Kronecker Products and Their Applications, Journal of Applied Mathematics, 2013, 2013, 1-8.

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

Year 2024, Volume: 14 Issue: 2, 46 - 53, 31.07.2024

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.

References

  • [1] S. Banerjee, A. Roy Linear Algebra and Matrix Analysis for Statistics, Texts in Statistical Science, 2014.
  • [2] E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, Inc, 2011.
  • [3] A.J. Laub Matrix Analysis for Scientists and Engineers, Industrial and App Math, SIAM Philadelphia, 2005.
  • [4] T. Lyche, Numerical Linear Algebra and Matrix Factorizations, Texts in Computational Science and Engineering, Springer, 2020.
  • [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] 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] 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] D.K. Salkuyeh, Positive integer powers of the tridiagonal Toeplitz matrices, International Mathematical Forum, 1(22), 2006, 1061-1065.
  • [9] C.F. Van Loan, The ubiquitous Kronecker product, Journal of Computational and Applied Mathematics, 123, 2000, 85-100.
  • [10] H. Zhang, F. Ding, On the Kronecker Products and Their Applications, Journal of Applied Mathematics, 2013, 2013, 1-8.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematics Education, Science Education, Science and Mathematics Education (Other)
Journal Section Research Article
Authors

Youssouf Mezzar This is me

Kacem Belghaba

Publication Date July 31, 2024
Published in Issue Year 2024 Volume: 14 Issue: 2

Cite

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.
AMA Mezzar Y, Belghaba K. Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices. AZJM. July 2024;14(2):46-53.
Chicago Mezzar, Youssouf, and Kacem Belghaba. “Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices”. Azerbaijan Journal of Mathematics 14, no. 2 (July 2024): 46-53.
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 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, 2024.
ISNAD Mezzar, Youssouf - Belghaba, Kacem. “Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices”. Azerbaijan Journal of Mathematics 14/2 (July 2024), 46-53.
JAMA 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, 2024, pp. 46-53.
Vancouver Mezzar Y, Belghaba K. Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices. AZJM. 2024;14(2):46-53.