Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$
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 $x$, $y \in \mathbb{R}_{n}$. The vector $x$ is said to be matrix majorized by $y$ and denoted by $ x\prec_{r} y$ if $x=yR$ for some row stochastic matrix $R$. In th...
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| Format: | Article |
| Language: | English |
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University of Kashan
2023-12-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_114042_a09cf052b2a492157bf3c859e00d6495.pdf |
| _version_ | 1827389233066672128 |
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| author | Ahmad Mohammadhasani Mehdi Dehghanian Yamin Sayyari |
| author_facet | Ahmad Mohammadhasani Mehdi Dehghanian Yamin Sayyari |
| author_sort | Ahmad Mohammadhasani |
| collection | DOAJ |
| description | 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 $x$, $y \in \mathbb{R}_{n}$. The vector $x$ is said to be matrix majorized by $y$ and denoted by $ x\prec_{r} y$ if $x=yR$ for some row stochastic matrix $R$. In the present paper, we characterize the linear preservers of matrix majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$. |
| first_indexed | 2024-03-08T16:31:33Z |
| format | Article |
| id | doaj.art-bff0086b33a94d7c82666a20cf955eed |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-08T16:31:33Z |
| publishDate | 2023-12-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-bff0086b33a94d7c82666a20cf955eed2024-01-06T07:05:55ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652023-12-018429130710.22052/mir.2023.248765.1390114042Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$Ahmad Mohammadhasani0Mehdi Dehghanian1Yamin Sayyari2Department of Mathematics, Sirjan University of Technology, Sirjan, IranDepartment of Mathematics, Sirjan University of Technology, Sirjan, IranDepartment of Mathematics, Sirjan University of Technology, Sirjan, IranA 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 $x$, $y \in \mathbb{R}_{n}$. The vector $x$ is said to be matrix majorized by $y$ and denoted by $ x\prec_{r} y$ if $x=yR$ for some row stochastic matrix $R$. In the present paper, we characterize the linear preservers of matrix majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$.https://mir.kashanu.ac.ir/article_114042_a09cf052b2a492157bf3c859e00d6495.pdflinear preservermatrix majorization$m$-{r}ow stochastic matrix |
| spellingShingle | Ahmad Mohammadhasani Mehdi Dehghanian Yamin Sayyari Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ Mathematics Interdisciplinary Research linear preserver matrix majorization $m$-{r}ow stochastic matrix |
| title | Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ |
| title_full | Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ |
| title_fullStr | Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ |
| title_full_unstemmed | Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ |
| title_short | Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$ |
| title_sort | row stochastic matrices and linear preservers of matrix majorization t mathbb r m rightarrow mathbb r n |
| topic | linear preserver matrix majorization $m$-{r}ow stochastic matrix |
| url | https://mir.kashanu.ac.ir/article_114042_a09cf052b2a492157bf3c859e00d6495.pdf |
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