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关于分块矩阵的对角schur补
引用本文:汤凤香,何淦瞳,方秀男,李培培. 关于分块矩阵的对角schur补[J]. 贵州大学学报(自然科学版), 2007, 24(2): 116-119
作者姓名:汤凤香  何淦瞳  方秀男  李培培
作者单位:佳木斯大学,数学系,黑龙江,佳木斯,154007;贵州大学,理学院,贵州,贵阳,550025;贵州大学,理学院,贵州,贵阳,550025;佳木斯大学,数学系,黑龙江,佳木斯,154007
摘    要:利用矩阵分块的思想,主要证明了I-块严格对角占优阵的对角schur补仍然是I-块严格对角占优阵,同时利用连续性证明了I-BDD的对角schur补还是I-BDD。

关 键 词:对角schur补  Ⅰ-块严格对角占优阵  块对角占优阵
文章编号:1000-5269(2007)02-0116-04
修稿时间:2006-12-20

On diagonally schur complement of block matrices
TANG Feng-xiang,HE Gan-tong,FANG Xiu-nan,LI Pei-pei. On diagonally schur complement of block matrices[J]. Journal of Guizhou University(Natural Science), 2007, 24(2): 116-119
Authors:TANG Feng-xiang  HE Gan-tong  FANG Xiu-nan  LI Pei-pei
Affiliation:1. Department of Mathematics, Jiamusi University, Heilongjiang 154007, China; 2. Department of Mathematics,Guizhou University, Guiyang,550025 China
Abstract:Author proved that diagonally schur complement of I-block strictly diagonally dominant matrices was still I-block strictly diagonally dominant matrices,and proved that the diagonally schur complements of I-BDD was still I-BDD by a continuity argument.
Keywords:diagonally schur complement  I-block strictly diagonally dominat matrices  block diagonally domiant matrices
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