A forbidden structure of ray nonsingular matrices |
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| Authors: | Yue Liu Hai-Ying Shan |
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| Institution: | 1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China;2. Department of Mathematics, Tongji University, Shanghai 200092, China |
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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. |
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| Keywords: | 15A06 15A04 |
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