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
From page
291
To page
305
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
Record number
2754134
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