AU - Ilkhanizadeh Manesh, A. TI - Linear Functions Preserving Sut-Majorization on RN PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 11 VI - 2 IP - 2 4099 - http://ijmsi.ir/article-1-549-en.html 4100 - http://ijmsi.ir/article-1-549-en.pdf SO - IJMSI 2 ABĀ  - Suppose $textbf{M}_{n}$ is the vector space of all $n$-by-$n$ real matrices, and let $mathbb{R}^{n}$ be the set of all $n$-by-$1$ real vectors. A matrix $Rin textbf{M}_{n}$ is said to be $textit{row substochastic}$ if it has nonnegative entries and each row sum is at most $1$. For $x$, $y in mathbb{R}^{n}$, it is said that $x$ is $textit{sut-majorized}$ by $y$ (denoted by $ xprec_{sut} y$) if there exists an $n$-by-$n$ upper triangular row substochastic matrix $R$ such that $x=Ry$. In this note, we characterize the linear functions $T$ : $mathbb{R}^n$ $rightarrow$ $mathbb{R}^n$ preserving (resp. strongly preserving) $prec_{sut}$ with additional condition $Te_{1}neq 0$ (resp. no additional conditions). CP - IRAN IN - LG - eng PB - IJMSI PG - 111 PT - Research paper YR - 2016