Explicit solution for an infinite dimensional generalized inverse eigenvalue problem (Q5954631)
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scientific article; zbMATH DE number 1701586
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit solution for an infinite dimensional generalized inverse eigenvalue problem |
scientific article; zbMATH DE number 1701586 |
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Explicit solution for an infinite dimensional generalized inverse eigenvalue problem (English)
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5 February 2002
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The paper deals with the inverse eigenvalue problem \(Ax=\lambda Bx\), where \(A\) is a symmetric three-diagonal infinite matrix with positive off-diagonal entries and \(B\) is a diagonal infinite invertible matrix. An explicit solution for \(A\) is constructed using the technique of orthogoal polynomials.
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inverse eigenvalue problem
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infinite matrix
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explicit solution
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orthogoal polynomials
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