On the Bounds for the Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices
Yükleniyor...
Tarih
2002
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELSEVIER SCIENCE INC
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we have established a lower and an upper bounds for the spectral norms of the general Cauchy Toeplitz matrices of the form T-n = [ 1/(g + (i - j)h)], where g = 1/k and h = 1. Moreover, we have obtained an upper bounds for the spectral norm of the Cauchy-Hankel matrices of the form H-n = [1/(g + (i + j)h)], where g = 1/k and h = 1. In addition, we have established a lower and an upper bounds for the Euclidean norm of the Hadamard product Cauchy-Toeplitz and Cauchy-Hankel matrices, (C) 2002 Elsevier Science Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
matrix norm, Cauchy-Toeplitz matrices, Cauchy-Hankel matrices, spectral norms, Hadamard product
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
132
Sayı
02.03.2020
Künye
Türkmen, R., Bozkurt, D., (2002). On the Bounds for the Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices. Applied Mathematics and Computation, (132), 633-642. Doi: 10.1016/S0096-3003(01)00221-1