B R π-matrices, B-matrices, and doubly B-matrices in the interval setting

Lorenc Matyáš: B R π-matrices, B-matrices, and doubly B-matrices in the interval setting. In: Acta cybernetica, (26) 1. pp. 83-103. (2023)

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Abstract

In this paper we focus on generalizing BRπ-matrices into the interval setting, including some results regarding this class. There are two possible ways to generalize BRπ-matrices into the interval setting, but we will prove that, in a sense, they are one. We derive mainly means of recognition for this interval matrices class, such as characterizations, necessary conditions and sufficient ones. Next we will take a look at interval B-matrices and interval doubly B-matrices, which were introduced recently, and present their characterizations through reduction, as well as such characterization for BRπ-matrices.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2023
Volume: 26
Number: 1
ISSN: 2676-993X
Page Range: pp. 83-103
Language: English
Publisher: University of Szeged, Institute of Informatics
Place of Publication: Szeged
Related URLs: https://acta.bibl.u-szeged.hu/86902/
DOI: 10.14232/actacyb.294423
Uncontrolled Keywords: B-mátrix, Matematikai analízis, Numerikus matematika, Lineáris algebra
Additional Information: Bibliogr.: p. 102-103. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2025. Apr. 15. 13:16
Last Modified: 2025. Apr. 15. 13:16
URI: http://acta.bibl.u-szeged.hu/id/eprint/86967

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