Affiliation:
1. Department of Electrical Engineering and Computer Science, University of Missouri-Columbia , 201 Naka Hall , Columbia , MO 65211 , United States
Abstract
Abstract
We define a special class of finite-dimensional matrices for which the diagonal majorizes the spectrum. This is the first class of matrices known to have this property, although the reverse majorization (i.e., the spectrum majorizing the diagonal) was previously known to hold for unitarily diagonalizable (i.e., normal) matrices. Currently, these are the only known matrix classes that structurally provide a majorization relationship between their spectrum and diagonal.
Subject
Geometry and Topology,Algebra and Number Theory
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