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Notes on matrices with diagonally dominant properties
- Source :
-
Linear Algebra & its Applications . Dec2011, Vol. 435 Issue 11, p2793-2812. 20p. - Publication Year :
- 2011
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 435
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 63190231
- Full Text :
- https://doi.org/10.1016/j.laa.2011.04.045