Article ID Journal Published Year Pages File Type
4600715 Linear Algebra and its Applications 2011 20 Pages PDF
Abstract

In this paper, we analyze the relation between some classes of matrices with variants of the diagonal dominance property. We establish a sufficient condition for a generalized doubly diagonally dominant matrix to be invertible. Sufficient conditions for a matrix to be strictly generalized diagonally dominant are also presented. We provide a sufficient condition for the invertibility of a cyclically diagonally dominant matrix. These sufficient conditions do not assume the irreducibility of the matrix.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory