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论几类广义严格对角占优矩阵
引用本文:高益明,邵新慧.论几类广义严格对角占优矩阵[J].高等学校计算数学学报,1998,20(4):329-335.
作者姓名:高益明  邵新慧
作者单位:东北师范大学数学系 长春130024
摘    要:1引言 设A=(a_η)∈Cm~(3n),若存在正对角阵D.使得AD为严格对角占优矩阵,则A称为广义严格对角占优矩阵,记作A∈SGDDM.

关 键 词:严格对角占优阵  矩阵  广义  对角占优阵

ON THE SOME KINDS OF GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRICES
Gao Yiming,Shao Xinhui,Liu Xiaoyan.ON THE SOME KINDS OF GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,1998,20(4):329-335.
Authors:Gao Yiming  Shao Xinhui  Liu Xiaoyan
Institution:Dongbei Normal University
Abstract:In l-8], the authors give some necessary and sufficient conditions for verifying generalized strictly diagonally dominant matrices. In this paper, we further discusse the relations about the three kinds of generalized strictly diagonally dominant matrices, and prove the important resultsG G1 G2. IG IG1 IG2.
Keywords:generalized strictly diagonally dominant matrices  irreducible matrixces  nonsingular M-matrices  
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