Latin-majorization and its linear preservers
Journal: Sahand Communications in Mathematical Analysis (Vol.5, No. 1)Publication Date: 2017-01-01
Authors : Mohammad Ali Hadian Nadoshan; Hamid Reza Afshin;
Page : 41-47
Keywords : Doubly stochastic matrix; Latin-majorization; Latin square; Linear preserver;
Abstract
In this paper we study the concept of Latin-majorizati-on. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all xs Latin-majorized by a fixed y is not convex, but, consists of union of finitely many convex sets. Next, we hint to linear preservers of Latin-majorization on Rn and Mn,m.
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Last modified: 2017-07-24 14:26:17