Bounds for product of singular values using row (column) norm and determinant

Authors : Ad GÜNGÖR

Pages : 23-34

Doi:10.1501/Commua1_0000000337

View : 10 | Download : 9

Publication Date : 2004-01-01

Article Type : Research Paper

Abstract :Let A b ea n x n complexmatrix with CF] > insert ignore into journalissuearticles values(T2 > ... > 0` and let 1 < k <. I < n . Bounds for Crı ...CF^, CT^...ĞF^ and C n _/c+i , involving k , n , f insert ignore into journalissuearticles values( c . \ O f and insert ignore into journalissuearticles values(İG tA where f insert ignore into journalissuearticles values(C j); is the Euclidean norm of the z-th row insert ignore into journalissuearticles values(colutnn); of A and CÇ ’s are positive real numbers such 2 2 2 that Of +0^2 + ... + d n = n , are presented.
Keywords : Bounds for product, Singular values, Norm and determinant