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Keywords:
G-doubly stochastic matrix; gt-majorization; (strong) linear preserver; tridiagonal matrices.
G-doubly stochastic matrix; gt-majorization; (strong) linear preserver; tridiagonal matrices.
Summary:
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 $\textbf {M}_{n,m}$.
References:
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