A Hadamard product involving inverse-positive matrices

In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive...

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Bibliographic Details
Main Authors: Gassó Maria T., Torregrosa Juan R., Abad Manuel F.
Format: Article
Language:English
Published: De Gruyter 2015-08-01
Series:Special Matrices
Subjects:
Online Access:http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0018/spma-2015-0018.xml?format=INT
Description
Summary:In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive matrix.
ISSN:2300-7451