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- W2199763902 abstract "Let Mn,m be the set of all n×m matrices with entries in R. For A,B∈Mn,m, it is said that A is row majorized (respectively column-majorized) by B if every row (respectively column) of A is majorized by the corresponding row (respectively column) of B, i.e. for every i (1⩽i⩽n) there exists a doubly stochastic matrix Di such that A(i)=B(i)Di, where A(i) and B(i) are the ith rows of A and B respectively. In this paper the relations row and column-majorization on Mn,m are studied and also all linear operators T:Mn,m→Mn,m preserving (or strongly preserving) row or column-majorization will be characterized." @default.
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- W2199763902 date "2012-08-01" @default.
- W2199763902 modified "2023-09-24" @default.
- W2199763902 title "Row and column-majorization on <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=bold>M</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mtext>,</mml:mtext><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>" @default.
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- W2199763902 doi "https://doi.org/10.1016/j.laa.2012.03.032" @default.
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