The Schur complement of PH−matrices(Article)
- aFaculty of Technical Sciences, Department for Fundamental Disciplines, University of Novi Sad, Serbia
- bFaculty of Science, Department of Mathematics and Informatics, University of Novi Sad, Serbia
Abstract
In this paper, we consider the class of PH−matrices, a subclass of H−matrices and, using scaling characterization, we show that this class is closed under taking the Schur complement. We show that, under certain conditions, the Perron complement of a PH−matrix is a PH−matrix. We also present a way of constructing a scaling matrix for the given PH−matrix and we give eigenvalue localization for the Schur complement of a PH−matrix using only the entries of the original matrix. We illustrate this by numerical examples. © 2019 Elsevier Inc.
Indexed keywords
| Engineering controlled terms: | Computational methodsMathematical techniques |
|---|---|
| Engineering uncontrolled terms | Diagonal scalingEigen-valuePerron complementScaling matrixSchur complement |
| Engineering main heading: | Eigenvalues and eigenfunctions |
Funding details
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja | 174019 | MPNTR |
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1
This work is partly supported by the Ministry of Education, Science and Technological Development of Serbia , grant 174019 .
- ISSN: 00963003
- CODEN: AMHCB
- Source Type: Journal
- Original language: English
- DOI: 10.1016/j.amc.2019.06.055
- Document Type: Article
- Publisher: Elsevier Inc.
Nedović, M.; Faculty of Technical Sciences, Department for Fundamental Disciplines, University of Novi Sad, Serbia;
© Copyright 2019 Elsevier B.V., All rights reserved.
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