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B. L. Yu, T. Z. Huang, J. Luo and H. B. Hua, “Critical Sets of Refined Inertias for Irreducible Zero-Nonzero Patterns of Orders 2 and 3,” Linear Algebra and Its Applications, Vol. 437, No. 2, 2012, pp. 490-498. doi:10.1016/j.laa.2012.03.007

has been cited by the following article:

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

  AUTHORS: Ber-Lin Yu

  KEYWORDS: Associated Digraph; Inertially Arbitrary Sign Pattern; Refined Inertia; Critical Set of Refined Inertias

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.3 No.2, June 14, 2013

  ABSTRACT: 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.