论几类广义严格对角占优矩阵  

ON THE SOME KINDS OF GENERALIZED STRICTLY DIAGONALLY DOMINANT MATRICES

作　　者：高益明[1] 邵新慧[1] 刘晓艳[1] 

机构地区：[1]东北师范大学数学系,长春130024

出　　处：《高等学校计算数学学报》1998年第4期329-335,共7页Numerical Mathematics A Journal of Chinese Universities

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.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.

关 键 词：严格对角占优阵 矩阵 广义 对角占优阵 

分 类 号：O151.21[理学—数学]