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一种新的修正不完全LU分解

A New Kind of Modified Incomplete LU Decomposition
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摘要 提出一种新的修正不完全LU分解,证明在严格对角占优M阵和对角元为正的严格对角占优阵下,该分解不仅能够进行下去,而且分解所得的矩阵U为非奇异阵。 Abstraet:A new kind of modified incomplete decomposition is presented. It proved that, in the strictly diagonally dominant matrices and the strictly diagonally dominant matrices which diagonal elements are plus, the decomposition can be carried on and the matrix obtains from the decomposition are a non singular matrix.
出处 《广西科学院学报》 2008年第2期86-88,共3页 Journal of Guangxi Academy of Sciences
关键词 LU分解 对角占优矩阵 稀疏矩阵 对角元 LU decomposition strictly diagonally dominant matrices large sparse matrix diagonal elements
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参考文献4

  • 1Chen Greif,James Varah. Itertive solution of cyclically reduced systems arising from discrimination of the three-dimensional convection-diffusion equation [J ]. SIAM Sci Comput, 1998,19(6): 1018-1040.
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