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- Title
The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant.
- Authors
Bru, Rafael; Gassó, Maria T.; Giménez, Isabel; Scott, José A.
- Abstract
We study the combined matrix of a nonsingular H-matrix. These matrices can belong to two different H-matrices classes: the most common, invertible class, and one particular class named mixed class. Different results regarding diagonal dominance of the inverse matrix and the combined matrix of a nonsingular H-matrix belonging to the referred classes are obtained. We conclude that the combined matrix of a nonsingular H-matrix is always diagonally dominant and then it is an H-matrix. In particular, the combined matrix in the invertible class remains in the same class.
- Subjects
HADAMARD matrices; MATRICES (Mathematics); HADAMARD codes; MATHEMATICAL analysis; COMBINATORICS
- Publication
Journal of Applied Mathematics, 2015, Vol 2015, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2015/264680