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Applied Mathematics and ComputationVolume 208, Issue 1, 1 February 2009, Pages 206-210

A new subclass of H-matrices(Article)

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  • Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovica 4, 21000 Novi Sad, Serbia

Abstract

Class of H-matrices plays an important role in various scientific disciplines, in economics, for example. However, this class could be used in order to get various benefits in other linear algebra fields, like determinant estimation, Perron root estimation, eigenvalue localization, improvement of convergence area of relaxation methods, etc. For that reason, it seems important to find a subclass of H-matrices, as wide as possible, and expressed by explicit conditions, involving matrix elements only. One step forward in this direction, starting from Gudkov matrices, from one side, and S-SDD matrices, from the other side, will be presented in this paper. © 2008 Elsevier Inc. All rights reserved.

Author keywords

Gudkov matricesH-matricesNonsingularity

Indexed keywords

Engineering uncontrolled terms:Eigen valuesGudkov matricesH-matricesMatrix elementsNonsingularityPerron rootsRelaxation methods
Engineering main heading:Algebra

Funding details

Funding sponsor Funding number Acronym
Ministry of Science and Environmental Protection144025
Provincial Secretariat for Science and Technological Development0708PSSTD

  • 1

    This work is partly supported by the Ministry of Science and Environmental Protection of Serbia, Grant 144025 and by the Provincial Secretariat of Science and Technological Development of Vojvodina, Serbia, Grant 0708.

  • ISSN: 00963003
  • CODEN: AMHCB
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.amc.2008.11.037
  • Document Type: Article

  Cvetković, L.; Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovica 4, Serbia;
© Copyright 2009 Elsevier B.V., All rights reserved.

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