B^R_π-Matrices, B-Matrices, and Doubly B-Matrices in the Interval Setting

Author:

Lorenc Matyáš1ORCID

Affiliation:

1. Charles University

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.

Publisher

University of Szeged

Subject

Computer Vision and Pattern Recognition,Software,Computer Science (miscellaneous),Electrical and Electronic Engineering,Information Systems and Management,Management Science and Operations Research,Theoretical Computer Science

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5. On Relation Between P-Matrices and Regularity of Interval Matrices

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