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 Sis 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.
Cite this paper
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.
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