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

DOI: 10.4236/alamt.2013.32002   PDF   HTML   XML   2,481 Downloads   6,406 Views   Citations

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.

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B. Yu, "Minimal Critical Sets of Refined Inertias for Irreducible Sign Patterns of Order 2," Advances in Linear Algebra & Matrix Theory, Vol. 3 No. 2, 2013, pp. 7-10. doi: 10.4236/alamt.2013.32002.

Conflicts of Interest

The authors declare no conflicts of interest.

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