A characterization of the closure of inverse M-matrices (Q1102350)
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scientific article; zbMATH DE number 4049790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of the closure of inverse M-matrices |
scientific article; zbMATH DE number 4049790 |
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A characterization of the closure of inverse M-matrices (English)
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1988
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M-matrices are matrices all of whose off-diagonal entries are nonpositive and whose inverse exists and is nonnegative. Let \(M^ I\) be the set of all \(n\times n\) matrices whose inverse is an M-matrix. This paper gives an explicit structural characterization of all matrices in the closure of \(M^ I\) under the usual topology which is induced by any matrix norm. The relationship of these results to some other classes of matrices is discussed.
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closure of inverse M-matrices
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structural characterization
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0.9214889
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0.9151405
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0.89931154
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0.8909247
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0.8891635
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0.88589257
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