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Critical sets of refined inertias for irreducible zero–nonzero patterns of orders 2 and 3
Authors:Ber-Lin Yu  Ting-Zhu Huang  Hong-Bo Hua
Institution:1. Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai’an, Jiangsu 223003, PR China;2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China
Abstract:The concept of a critical set of refined inertias for an irreducible zero–nonzero pattern is defined, and all minimal critical sets of refined inertias for irreducible zero–nonzero patterns of orders 2 and 3 are identified. As an application of these results, a new method is used to identify all minimal critical sets of inertias for irreducible zero–nonzero patterns of orders 2 and 3.
Keywords:
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