Some bounds for extreme singular values of a complex matrix
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELSEVIER SCIENCE INC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study we mainly obtained upper and lower bounds for extreme singular values of an n x n complex matrix. Moreover, as an application of this, we got bounds for extreme singular values of Hilbert and Cauchy-Hankel matrices as in the forms H = (1/(i + j - 1))(i,j-1)(n) and H(n) = [1/(g + (i + j)h)](i,j-1)(n), respectively. We note that the bounds obtained in this paper are more effective than the bounds presented in the paper [2, Theorem 2]. (C) 2011 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Hilbert matrix, Cauchy-Hankel matrix, Singular value, Lower bound, Upper bound
Kaynak
APPLIED MATHEMATICS AND COMPUTATION
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
218
Sayı
3
