LATIN-MAJORIZATION AND ITS LINEARPRESERVERS

In this paper we study the concept of Latin-majorization. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all xs Latin-majorizedby a fixed y is not convex, but, consists of union of finitely manyconvex sets. Next, we hint to linear preservers of Latin-majorizationon Rn and Mn;m.

Keywords:

Doubly stochastic matrix , Latin-majorization , Latinsquare , Linear preserver