Geodesic
Linear preservers of rc-majorization on matrices
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1275-1288 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $A$, $B$ be $n \times m$ matrices. The concept of matrix majorization means the $j$th column of $A$ is majorized by the $j$th column of $B$ and this is done for all $j$ by a doubly stochastic matrix $D$. We define rc-majorization that extended matrix majorization to columns and rows of matrices. Also, the linear preservers of rc-majorization will be characterized.
Let $A$, $B$ be $n \times m$ matrices. The concept of matrix majorization means the $j$th column of $A$ is majorized by the $j$th column of $B$ and this is done for all $j$ by a doubly stochastic matrix $D$. We define rc-majorization that extended matrix majorization to columns and rows of matrices. Also, the linear preservers of rc-majorization will be characterized.
DOI : 10.21136/CMJ.2024.0301-24
Classification : 15A86, 15B51
Keywords: matrix majorization; linear preserver; permutation 
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     author = {Soleymani, Mohammad},
     title = {Linear preservers of rc-majorization on matrices},
     journal = {Czechoslovak Mathematical Journal},
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     language = {en},
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Soleymani, Mohammad. Linear preservers of rc-majorization on matrices. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1275-1288. doi: 10.21136/CMJ.2024.0301-24

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