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局部双α对角占优矩阵及其应用 被引量:1

Locally Double α-diagonally Dominant Matrix and its Applications
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摘要 本文提出了两类局部双α对角占优矩阵,给出了其为广义严格对角占优矩阵的几个充分条件,并用数值例子说明了所得结果的有效性。 Two kinds of locally α-diagonally dominant matrix are proposed and some sufficient conditions are obtained for judging their generalized strictly diagonally dominance. A numerical example is also given to illustrate the effectiveness of our results.
出处 《工程数学学报》 CSCD 北大核心 2005年第6期1075-1082,共8页 Chinese Journal of Engineering Mathematics
基金 湖南省自然科学基金(04JJ40005)湖南省教育厅重点项目(02A010).
关键词 广义对角占优矩阵 广义α对角占优矩阵 局部双α对角占优矩阵 不可约矩阵 generalized strictly diagonally dominant matrix strictly α-diagonally dominant matrix locally double α-diagonally dominant matrix irreducibility matrix
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