Positive semidefinite matrices with a given sparsity pattern (Q1109100)
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scientific article; zbMATH DE number 4069090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive semidefinite matrices with a given sparsity pattern |
scientific article; zbMATH DE number 4069090 |
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Positive semidefinite matrices with a given sparsity pattern (English)
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1988
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Given a sparsity pattern, the cone of positive matrices which have zero in prescribed entries is considered. The highest rank of the extremal matrices in the cone is called the order of pattern. The order is linked with graph properties of the pattern. It leads to a classification of certain subgraphs of the pattern.
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algorithmic graph theory
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completion problems
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sparsity pattern
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cone of positive matrices
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extremal matrices
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order of pattern
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