EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 65–73 (2017)

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CHARACTERIZATION OF DIAGONALLY DOMINANT H-MATRICES

Nenad Morača

Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Novi Sad, Serbia

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.

Keywords: diagonal dominance; nonsingularity results; M-matrices; H-matrices; matrix digraph

Classification (MSC2000): 65F15; 65F99

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Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition