Pages: 82-90

Abstract

In this article, we study the conditions that if there is a g- tridiagonaly doubly stochastic matrix for x=Ay.x.y∈R^n, Then we call x as the g-tridiagonal majorized by y and represent all strong linear preservers of ≺gut on R^n and in addition, we check that if X.Y∈ M_(n.m) are two elements of the set of n × m matrices, then there is the upper triangular g-row stochastic matrix R where it represents X = RY and some ≺gut prerequisites on R^n and it reviews linear preservers  )strong) of ≺gut on R^n.