%0 Journal Article
%T On Classes of Matrices with Variants of the Diagonal Dominance Property
%A Farid O. Farid
%J Advances in Linear Algebra & Matrix Theory
%P 37-65
%@ 2165-3348
%D 2017
%I Scientific Research Publishing
%R 10.4236/alamt.2017.72005
%X 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 (<em>X</em><sub>1</sub>,<em>X</em><sub>2</sub>) of classes of matrices with variants of the diagonal dominance property, we also study the problem of providing sufficient conditions for the matrices in <em>X</em><sub>i</sub> to be in <em>X</em><sub>j</sub> 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].
%K Doubly Diagonally Dominant
%K Generalized Diagonally Dominant
%K (S&lt
%K sub&gt
%K 1&lt
%K /sub&gt
%K S&lt
%K sub&gt
%K 2&lt
%K /sub&gt
%K ) Separation Induced Diagonally Dominant
%K Row-Column Diagonally Dominant with Index &amp
%K alpha
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=77052