Sign patterns of nonnegative normal matrices (Q677920)
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scientific article; zbMATH DE number 1000058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sign patterns of nonnegative normal matrices |
scientific article; zbMATH DE number 1000058 |
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Sign patterns of nonnegative normal matrices (English)
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28 September 1997
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A nonnegative sign pattern is a matrix whose entries are from the set \(\{+, 0\}\). A nonnegative sign pattern \(A\) allows normality if there is a normal matrix \(B\) whose entries have signs indicated by \(A\). This paper investigates the combinatorial structure of nonnegative normal matrices, in particular (0,1) normal matrices. Up to order 5, (0,1) normal matrices are classified up to permutation similarity. A number of general conditions for sign patterns to allow normality are obtained.
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\((0,1)\) matrix
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sign pattern
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normal matrix
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combinatorial structure
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nonnegative normal matrices
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permutation similarity
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