The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant
Joint Authors
Gassó, Maria T.
Scott, José A.
Bru, Rafael
Giménez, Isabel
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-04
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bru, Rafael& Gassó, Maria T.& Giménez, Isabel& Scott, José A.. 2015. The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1067065
Modern Language Association (MLA)
Bru, Rafael…[et al.]. The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant. Journal of Applied Mathematics No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1067065
American Medical Association (AMA)
Bru, Rafael& Gassó, Maria T.& Giménez, Isabel& Scott, José A.. The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1067065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067065
