Geodesic
G-tridiagonal majorization on $\textbf {M}_{n,m}$
Communications in Mathematics, Tome 29 (2021) no. 3, pp. 395-405 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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For $X,Y\in \textbf {M}_{n,m}$, it is said that $X$ is \emph {g-tridiagonal} majorized by $Y$ (and it is denoted by $X\prec _{gt}Y$) if there exists a tridiagonal g-doubly stochastic matrix $A$ such that $X=AY$. In this paper, the linear preservers and strong linear preservers of $\prec _{gt}$ are characterized on $\textbf {M}_{n,m}$.
For $X,Y\in \textbf {M}_{n,m}$, it is said that $X$ is \emph {g-tridiagonal} majorized by $Y$ (and it is denoted by $X\prec _{gt}Y$) if there exists a tridiagonal g-doubly stochastic matrix $A$ such that $X=AY$. In this paper, the linear preservers and strong linear preservers of $\prec _{gt}$ are characterized on $\textbf {M}_{n,m}$.
Classification : 15A04, 15A21
Keywords: G-doubly stochastic matrix; gt-majorization; (strong) linear preserver; tridiagonal matrices. 
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     title = {G-tridiagonal majorization on $\textbf  {M}_{n,m}$},
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Mohammadhasani, Ahmad; Sayyari, Yamin; Sabzvari, Mahdi. G-tridiagonal majorization on $\textbf  {M}_{n,m}$. Communications in Mathematics, Tome 29 (2021) no. 3, pp. 395-405. http://geodesic.mathdoc.fr/item/COMIM_2021_29_3_a5/

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