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

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

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  • Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics