The Schur complement of PH−matrices

Maja Nedović and Ljiljana Cvetković

Applied Mathematics and Computation, 2019, vol. 362, issue C, -

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.

Keywords: PH−matrices; Schur complement; Perron complement; Diagonal scaling; Eigenvalue localization (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:362:y:2019:i:c:7

DOI: 10.1016/j.amc.2019.06.055

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