Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4600715 | Linear Algebra and its Applications | 2011 | 20 Pages |
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.
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