Turkish Journal of Mathematics
Abstract
Matrix commutator and anticommutator play an important role in mathematics, mathematical physic, and quantum physic. The commutator and anticommutator of two $n\times n$ complex matrices $A$ and $B$ are defined by $\left[ A,B% \right] =AB-BA$ and $\left( A,B\right) =AB+BA$, respectively. Cauchy-Toeplitz matrix and exchange matrix are two of the special matrices and they have excellent properties. In this study, we mainly focus on Frobenius norm of the commutator of Cauchy-Toeplitz matrix and exchange matrix. Moreover, we give upper and lower bounds for the Frobenius norm of the commutator of Cauchy-Toeplitz matrix and exchange matrix.
DOI
10.55730/1300-0098.3447
Keywords
Matrix commutator, Frobenius norm, Cauchy-Toeplitz matrix, exchange matrix
First Page
1550
Last Page
1557
Recommended Citation
SOLAK, SÜLEYMAN and BAHŞİ, MUSTAFA
(2023)
"On the Frobenius norm of commutator of Cauchy-Toeplitz matrix and exchange matrix,"
Turkish Journal of Mathematics: Vol. 47:
No.
5, Article 18.
https://doi.org/10.55730/1300-0098.3447
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss5/18
