Inertia sets of symmetric 2-generalized star sign patterns

Author: Gao Yubin   Shao Yanling  

Publisher: Taylor & Francis Ltd

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.54, Iss.1, 2006-01, pp. : 27-35

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Abstract

A sign pattern is a matrix whose entries are from the set {+−0}. Associated with each sign pattern A is a qualitative class of matrices Q ( A ). For a symmetric sign pattern A of order n , the inertia set of A is the set , and the symmetric inertia set , where i ( B ) is the inertia of B . In this article we characterize the symmetric 2-generalized star sign patterns that require unique (symmetric) inertia, and also give the (symmetric) inertia set of a symmetric 2-generalized star sign pattern.