Minimal Critical Sets of Refined Inertias for Irreducible Sign Patterns of Order 2 ()
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.
Share and Cite:
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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