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Journal of Inequalities and Applications 
Volume 3 (1999), Issue 2, Pages 137-142
doi:10.1155/S1025583499000090

Inequalities on the singular values of an off-diagonal block of a Hermitian matrix

Chi-Kwong Li and Roy Mathias

Department of Mathematics, College of William & Mary, Williamsburg 23187, VA, USA

Received 26 November 1997; Revised 4 February 1998

Abstract

A majorization relating the singular values of an off-diagonal block of a Hermitian matrix and its eigenvalues is obtained. This basic majorization inequality implies various new and existing results.