| On the Sign Pattern Matrices with Nonpositive κ-power |
| Received:February 15, 2000 |
| Key Words:
sign pattern matrix digraph.
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| Fund Project:Supported by Shanxi Natural Science Foundation (20011006) |
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| Abstract: |
| A matrix whose entries are +,-, and 0 is called a sign pattern matrix. Let k be arbitrary positive integer. We first characterize sign patterns A such that .Ak≤0. Further, we determine the maximum number of negative entries that can occur in A whenever Ak≤0. Finally, we give a necessity and sufficiency condition for A2≤0. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2003.02.003 |
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