许洁, 赵微, 孙玉祥. 广义对角占优矩阵的实用新判定[J]. 云南大学学报(自然科学版), 2014, 36(5): 637-641. doi: 10.7540/j.ynu.20130580
引用本文: 许洁, 赵微, 孙玉祥. 广义对角占优矩阵的实用新判定[J]. 云南大学学报(自然科学版), 2014, 36(5): 637-641. doi: 10.7540/j.ynu.20130580
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In order to overcome the difficult of some methods for generalized diagonally dominant matrices in practice,a new set of practical discriminating method is present by the partition of the row indices.The proposed methods determined the matrix directly make use of the relationship between the matrix elements,which avoided the discussion ofin some similar reference.Finally,a numerical example is given to demonstrate the utility of the given methods.[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(5): 637-641. DOI: 10.7540/j.ynu.20130580
Citation: In order to overcome the difficult of some methods for generalized diagonally dominant matrices in practice,a new set of practical discriminating method is present by the partition of the row indices.The proposed methods determined the matrix directly make use of the relationship between the matrix elements,which avoided the discussion ofin some similar reference.Finally,a numerical example is given to demonstrate the utility of the given methods.[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(5): 637-641. DOI: 10.7540/j.ynu.20130580
shu

广义对角占优矩阵的实用新判定

In order to overcome the difficult of some methods for generalized diagonally dominant matrices in practice,a new set of practical discriminating method is present by the partition of the row indices.The proposed methods determined the matrix directly make use of the relationship between the matrix elements,which avoided the discussion ofin some similar reference.Finally,a numerical example is given to demonstrate the utility of the given methods.

    摘要
  • 摘要: 根据广义对角占优矩阵实用判定中存在的困难，通过对矩阵行标进行划分，利用矩阵自身元素间的关系，得到一组判定条件，避免了利用对角占优矩阵给出判定条件此类方法中关于的讨论，改进了相关结果，进一步丰富了广义对角占优矩阵判定的理论，最后通过数值例子验证结果的有效性.

     

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