On the Frobenius norm of commutator of Cauchy-Toeplitz matrix and exchange matrix
Yükleniyor...
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TUBITAK
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Matrix commutator and anticommutator play an important role in mathematics, mathematical physic, and quantum physic. The commutator and anticommutator of two n × n complex matrices A and B are defined by [A,B] = AB ? BA and (A,B) = 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.
Açıklama
Anahtar Kelimeler
Cauchy-Toeplitz Matrix, Exchange Matrix, Frobenius Norm, Matrix Commutator
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
47
Sayı
5
