Criteria for the singularity of a pairwise \( l_1\)-distance matrix and their generalizations (Q2901878)
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scientific article; zbMATH DE number 6062360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criteria for the singularity of a pairwise \( l_1\)-distance matrix and their generalizations |
scientific article; zbMATH DE number 6062360 |
Statements
31 July 2012
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pairwise distance matrix
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interpolation
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metric
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correctness criteria
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system of points
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singularity problem
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recognition problem
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Criteria for the singularity of a pairwise \( l_1\)-distance matrix and their generalizations (English)
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The author investigates the singularity problem for the pairwise distance matrix of a system of points, as well as generalizations of this problem that are connected with applications to interpolation theory and with an algebraic approach to recognition problems. The author gives new criteria for the singularity of an \(l_{1}\)-distance matrix, some of them are geometric. The findings of this paper extend some known results in the literature.
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