Minimal Critical Sets of Refined Inertias for Irreducible Sign Patterns of Order 2

• 作者: Ber-Lin Yu
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: Associated DIGRAPH Inertially ARBITRARY SIGN Pattern Refined INERTIA Critical Set of Refined Inertias
• 年，卷（期）: 2013,（2）
• 页码范围: 7-10
• 页数: 4页
• 分类号: O1

摘要

Let S be a nonempty, proper subset of all refined inertias. Then, S is called a critical set of refined inertias for ireducible sign patterns of order n if is sufficient for any sign pattern A to be refined inertially arbitrary. If no proper subset of Sis a critical set of refined inertias, then S is a minimal critical set of refined inertias for sign patterns of order n . In this paper, all minimal critical sets of refined inertias for irreducible sign patterns of order 2 are identified. As a by-product, a new approach is presented to identify all minimal critical sets of inertias for irreducible sign patterns of order 2.