Numerical method for finding the eigenvalues of discrete lower semibounded operators (Q2888210)
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scientific article; zbMATH DE number 6039729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical method for finding the eigenvalues of discrete lower semibounded operators |
scientific article; zbMATH DE number 6039729 |
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30 May 2012
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perturbations
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discrete and selfadjoint operators
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eigenvalues
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eigenfunctions
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Numerical method for finding the eigenvalues of discrete lower semibounded operators (English)
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The paper is concerned with the eigenvalue problem \((T+P)\varphi=\beta \varphi\), where \(T\) is a discrete lower semibounded unbounded linear operator and \(P\) a bounded operator in a Hilbert space. The eigenvalues of \(P\) are allowed to have arbitrary multiplicities. The authors analyze a nonlinear algebraic system for the first \(m_0\) eigenvalues of the perturbed operator \(T+P\).
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