Sign determinacy of M-matrix minors (Q1089070)
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scientific article; zbMATH DE number 4002285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sign determinacy of M-matrix minors |
scientific article; zbMATH DE number 4002285 |
Statements
Sign determinacy of M-matrix minors (English)
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1987
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Let A be a (singular or non-singular) M-matrix, and let G(A) denote its undirected graph. The main result is that if the longest simple cycle of G(A) has length not exceeding 3 then the sign of any minor of A depends only on G(A) and not on the magnitude of the entries of A.
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M-matrix
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undirected graph
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longest simple cycle
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minor
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0.89130926
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0.8783521
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0.8780239
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0.8738831
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0.87290484
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0.8724896
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