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- W1997305960 abstract "A matrix B is called line-sum-symmetric if it is square and the sum of elements in each row of B equals the sum of elements in the corresponding column. Results from the theory of network flows are used to obtain a decomposition of nonnegative line-sum-symmetric matrices. The decomposition is employed to prove the following inequality: Assume $D(x)AD(y)$ is line-sum-symmetric where A is a square nonnegative matrix and $D(x)$ and $D(y)$ are diagonal matrices whose diagonal elements are the coordinates of the nonnegative vectors x and y, respectively. Then $y^T Axgeqq x^T Ay$." @default.
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- W1997305960 date "1985-04-01" @default.
- W1997305960 modified "2023-09-26" @default.
- W1997305960 title "A Decomposition and Scaling-Inequality for Line-Sum-Symmetric Nonnegative Matrices" @default.
- W1997305960 doi "https://doi.org/10.1137/0606021" @default.
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