On the Applications of Hadamard Square Root and Hadamard Inverse

Yükleniyor...
Küçük Resim

Tarih

2006

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Selcuk University Research Center of Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, we have established upper and lower bounds for the spectral norm of Hadamard square root and Hadamard inverse of the matrix T_{1/2,1} where the matrix T_{1/2,1} is Cauchy-Toeplitz matrix. We have also obtained nonzero eigenvalues of the Hadamard product of T_{1/2,1} and H_{1/2,1} where the matrix H_{1/2,1} is Cauchy-Hankel matrix. Finally, we have defined Hadamard condition number for Cauchy-Toeplitz matrix and calculated an upper bound for this condition number.

Açıklama

http://sjam.selcuk.edu.tr/sjam/article/view/168

Anahtar Kelimeler

Hadamard square root, Hadamard product, Cauchy-Toeplitz Matrices, Cauchy-Hankel Matrices, Condition number, Hadamard inverse

Kaynak

Selcuk Journal of Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

Cilt

7

Sayı

Künye

Akbulak, M., Bozkurt, D., Türkmen, R., Kaygısız, K., (2006). On the Applications of Hadamard Square Root and Hadamard Inverse. Selcuk Journal of Applied Mathematics, 7(2), 3-11.