Author(s)

Farid O. Farid^*

Department of Mathematics, Shanghai University, Shanghai, China.

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 X_i to be in X_j 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].

Doubly Diagonally Dominant, Generalized Diagonally Dominant, (S₁, S₂) Separation Induced Diagonally Dominant, Row-Column Diagonally Dominant with Index &alpha

Farid, F. (2017) On Classes of Matrices with Variants of the Diagonal Dominance Property. Advances in Linear Algebra & Matrix Theory, 7, 37-65. doi: 10.4236/alamt.2017.72005.