Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem (Q1893110)
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scientific article; zbMATH DE number 769054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem |
scientific article; zbMATH DE number 769054 |
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Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem (English)
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13 December 1995
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Some sufficient conditions are derived for the existence of real numbers \(c_1, \ldots, c_n\) such that \(A + \sum^n_{t = 1} c_t A_t\) has a prescribed set of eigenvalues, where \(A\), \(A_1, \ldots, A_n\) are given \(n \times n\) Hermitian matrices. Examples are given which satisfy these conditions but which do not satisfy some previously known sufficient conditions for the existence of solutions.
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inverse eigenvalue problem
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prescribed set of eigenvalues
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Hermitian matrices
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