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I. J. Kim, D. D. Olesky and P. van den Driessche, “Critical Sets of Inertias for Matrix Patterns,” Linear and Multilinear Algebra, Vol. 57, No. 3, 2009, pp. 293-306. doi:10.1080/03081080701616672

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.