Note on nonnegative matrices

Note on nonnegative matrices
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关于非负矩阵的注意事项

DOI:
10.1090/s0002-9939-1970-0257114-x
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发表时间:
1970
影响因子:
1.3
通讯作者:
D. Djoković
D. Djoković
中科院分区:
数学3区
文献类型:
--
作者:
D. Djoković

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. Let A be a nonnegative square matrix and B = DiADt where Di and Z>2 are diagonal matrices with positive diag- onal entries. Several proofs are known for the following theorem: If A is fully indecomposable then Di and Di can be chosen so that B is doubly stochastic. Moreover, Dx and D% are unique up to a scalar factor. It is shown that these results can be easily obtained by con-sidering a minimum of a certain rational function of several vari- ables.