TITLE:
On Classes of Matrices with Variants of the Diagonal Dominance Property
AUTHORS:
Farid O. Farid
KEYWORDS:
Doubly Diagonally Dominant, Generalized Diagonally Dominant, (S1, S2) Separation Induced Diagonally Dominant, Row-Column Diagonally Dominant with Index &alpha
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.7 No.2,
June
21,
2017
ABSTRACT: 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].