Characterization of diagonally dominant H-matrices
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Published:2017
Issue:115
Volume:101
Page:65-73
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ISSN:0350-1302
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Container-title:Publications de l'Institut Math?matique (Belgrade)
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language:en
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Short-container-title:Publ Inst Math (Belgr)
Affiliation:
1. Faculty of Sciences, Department of Mathematics and Informatics, Novi Sad
Abstract
We show that the diagonal dominance nonsingularity result of Shivakumar and
Chew from 1974, and the diagonal dominance nonsingularity result of Farid
from 1995, and the result of Huang on characterization of diagonally dominant
H-matrices from 1995, all proven independently and in different contexts are,
in fact, equivalent. We also offer the fourth and the fifth simpler
equivalent conditions, for a diagonally dominant matrix to be an H-matrix.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Subject
General Mathematics