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https://open.uns.ac.rs/handle/123456789/20287
Title: | The Schur complement of PH−matrices | Authors: | Nedović Maja Cvetkovic Ljiljana |
Issue Date: | 2019 | Journal: | Applied Mathematics and Computation | Abstract: | © 2019 Elsevier Inc. 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. | URI: | https://open.uns.ac.rs/handle/123456789/20287 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2019.06.055 |
Appears in Collections: | PMF Publikacije/Publications |
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