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BpiR-Matrices, B-Matrices, and Doubly B-Matrices in the Interval Setting

Publication at Faculty of Mathematics and Physics |
2023

Abstract

In this paper, we focus on generalizing BpiR-matrices into the interval setting, including some results regarding this class. There are two possible ways to generalize BpiR-matrices into the interval setting, but we prove that, in a sense, they are one.

We derive mainly recognition methods for this interval matrix class, such as characterizations, necessary conditions, and sufficient ones. Next, we also take a look at interval B -matrices and interval doubly B-matrices, which were introduced recently, and we present characterizations through reduction for them and for BpiR-matrices.