Year 2024,
Volume: 14 Issue: 2, 46 - 53, 31.07.2024
Youssouf Mezzar
Kacem Belghaba
References
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in Statistical Science, 2014.
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- [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,
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and Applied Mathematics, 123, 2000, 85-100.
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Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices
Year 2024,
Volume: 14 Issue: 2, 46 - 53, 31.07.2024
Youssouf Mezzar
Kacem Belghaba
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.