On Classes of Matrices with Variants of the Diagonal Dominance Property
On Classes of Matrices with Variants of the Diagonal Dominance Property作者机构：Department of Mathematics Shanghai University Shanghai China
出 版 物：《Advances in Linear Algebra & Matrix Theory》 (线性代数与矩阵理论研究进展（英文）)
年 卷 期：2017年第7卷第2期
页 面：37-65页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Doubly Diagonally Dominant Generalized Diagonally Dominant (S1 S2) Separation Induced Diagonally Dominant Row-Column Diagonally Dominant with Index &alpha
摘 要：We study the relations between several classes of matrices with variants of the diagonal dominance property, and identify those classes which form pairs of incomparable classes. For an incomparable pair (X1,X2) of classes of matrices with variants of the diagonal dominance property, we also study the problem of providing sufficient conditions for the matrices in Xi to be in Xj with {i,j}={1,2}. The article is a continuation of a series of articles on the topic and related topics by the author;see [1][2][3][4].
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