Title of article :
Bounding the extremal eigenvalues of a complex matrix
Author/Authors :
Güngör, Ay¸se Dilek Selçuk University - Science Faculty - Department of Mathematics Art, Türkiye
Abstract :
In this study, we have obtained bounds for extreme singular valuesof a complex matrix A of order n× n.In addition, we have found bounds for the extreme singular values ofHilbert matrix, its Hadamard square root, Cauchy-Hankel matrix in theforms H = (1/i + j - 1))ni;j=1, H1/2 = (1/ (i + j- 1)1=2)ni;j=1 and Hn =[1/(g + (i + j)h)]ni;j=1 ; respectively.
Keywords :
Hilbert matrix , Hadamard square root , Cauchy , Hankel matrix , Singular value
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics