B π R -Matrices, B -Matrices, and Doubly B -Matrices in the Interval Setting
Matyáš Lorenc · Acta Cybernetica · 2022
In this paper we focus on generalizing B π R -matrices into the interval setting, including some results regarding this class. There are two possible ways to generalize B π R -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 B π R -matrices.