Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: The case of generalized stars and double generalized stars. (Q1414148)
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scientific article; zbMATH DE number 2005988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: The case of generalized stars and double generalized stars. |
scientific article; zbMATH DE number 2005988 |
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Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: The case of generalized stars and double generalized stars. (English)
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19 November 2003
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The authors consider the inverse eigenvalue problem (IEP) for symmetric matrices whose graph is a generalized star or a double generalized star and characterizes the corresponding possible lists of ordered multiplicities, settling the IEP in the case of a generalized star. The result is consistent with the conjecture that the determination of the possible ordered multiplicities is equivalent to solving the IEP for a given tree. Also, generalized stars are characterized among trees by some spectral feature.
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Hermitian matrices
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Multiplicities
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Trees
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Inverse eigenvalue problems
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