On Classes of Matrices with Variants of the Diagonal Dominance Property

• 作者: Farid O. Farid
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: DOUBLY Diagonally DOMINANT Generalized Diagonally DOMINANT (S1 S2) Separation Induced Diagonally DOMINANT Row-Column Diagonally DOMINANT with Index &alpha
• 年，卷（期）: 2017,（2）
• 页码范围: 37-65
• 页数: 29页
• 分类号: O1

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].