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- W2017401632 abstract "Let R = ( r 1 ,…, r n ) and S = ( s 1 ,…, s n ) be vectors of positive integers. Let U ( R,S ) be the set of (0,1) matrices with row sums r i and column sums s j , i , j = 1,…, n . Let X be a real matrix of order n . The ( R,S ) assignment function P R,S (·) is defined by P R,S (X)= ∑ AϵU(R,S) (i,j)ϵ supp (A) π xij , where supp( A ) = {( i , j ) : a ij ≠ 0}. We investigate the structure of linear transformations on the set of real matrices M n ( R ) into itself such that P R , S ( X ) = P R , S ( T ( X ))." @default.
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- W2017401632 date "1994-11-01" @default.
- W2017401632 modified "2023-09-28" @default.
- W2017401632 title "Linear transformations that preserve the assignment" @default.
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- W2017401632 doi "https://doi.org/10.1016/0024-3795(94)90412-x" @default.
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