Title of article :
Row Stochastic Matrices and Linear Preservers of Matrix Majorization T : Rm → Rn
Author/Authors :
Mohammadhasani ، Ahmad Department of Mathematics - Sirjan University of Technology , Dehghanian ، Mehdi Department of Mathematics - Sirjan University of Technology , Sayyari ، Yamin Department of Mathematics - Sirjan University of Technology
Abstract :
A nonnegative square and real matrix R is a row stochastic matrix if the sum of the entries of each row is equal to one. Let x, y ∈ Rn. The vector x is said to be matrix majorized by y and denoted by x ≺r y if x = yR for some row stochastic matrix R. In the present paper, we characterize the linear preservers of matrix majorization T : Rm → Rn.
Keywords :
Linear preserver , Matrix majorization , m , Row stochastic matrix
Journal title :
Mathematics Interdisciplinary Research
Journal title :
Mathematics Interdisciplinary Research
