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Fallat, S.M. and Johnson, C.R. (1999) Sub-Direct Sums and Positivity Classes of Matrices. Linear Algebra and its Applications, 288, 149-173.
http://dx.doi.org/10.1016/S0024-3795(98)10194-5

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• 标题: 严格对角占优矩阵与Nekrasov矩阵的子直和Subdirect Sums of Strictly Diagonally Dominant Matrices and Nekrasov Matrices

  作者: 赵晶, 胡汭炎, 李耀堂

  关键字: Nekrasov矩阵, 严格对角占优, 子直和Nekrasov Matrix, Strictly Diagonally Dominant, Subdirect Sum

  期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.3, 2016-08-31

  摘要: 给出了严格对角占优矩阵与Nekrasov矩阵的子直和为Nekrasov矩阵的充分条件，并用数值例子对所给结论进行了说明。 A sufficient condition ensuring that the subdirect sum of strictly diagonally dominant matrix and Nekrasov matrix is in the class of Nekrasov matrices is given. And the conclusion is illustrated by a numerical example.