Derived eigenvalues of symmetric matrices, with applications to distance geometry (Q919061)
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scientific article; zbMATH DE number 4158841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derived eigenvalues of symmetric matrices, with applications to distance geometry |
scientific article; zbMATH DE number 4158841 |
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Derived eigenvalues of symmetric matrices, with applications to distance geometry (English)
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1990
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Let \(A\in R^{n\times n}\) and j be the all-one vector of dimension n. The derived eigenvalues of the symmetric matrix A are the zeros of \(P_ A(s)=-j^ Tadj (Is-A)j\). With this notion a new characterization for the embeddability of a finite metric space into Euclidean space is given. In more detail the particular case of two-distance sets is discussed.
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distance geometry
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distance matrix
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adjacent matrix of a graph
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derived spectrum of a graph
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derived eigenvalues
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symmetric matrix
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