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2015 The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant
Rafael Bru, Maria T. Gassó, Isabel Giménez, José A. Scott
J. Appl. Math. 2015: 1-6 (2015). DOI: 10.1155/2015/264680

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.

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Rafael Bru. Maria T. Gassó. Isabel Giménez. José A. Scott. "The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant." J. Appl. Math. 2015 1 - 6, 2015. https://doi.org/10.1155/2015/264680

Information

Published: 2015
First available in Project Euclid: 17 August 2015

zbMATH: 07132051
MathSciNet: MR3356663
Digital Object Identifier: 10.1155/2015/264680

Rights: Copyright © 2015 Hindawi

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