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Abstract：
A complex square matrix is called a ray nonsingular matrix (RNS matrix) if its ray pattern implies that it is nonsingular. In this paper, a necessary condition for RNS matrices is provided by showing that if A = I - A(D) is ray nonsingular, then the arc weighted digraph D contains no forbidden cycle chains. (C) 2013 Elsevier Inc. All rights reserved.
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LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN： 0024-3795
Year： 2013
Issue： 8
Volume： 439
Page： 2367-2380
0 . 9 8 3
JCR@2013
1 . 0 0 0
JCR@2023
ESI Discipline： MATHEMATICS;
JCR Journal Grade：2
CAS Journal Grade：3
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SCOPUS Cited Count：
ESI Highly Cited Papers on the List： 0 Unfold All
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30 Days PV： 1
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