Eigenvalues for infinite matrices (Q581504)
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scientific article; zbMATH DE number 4019242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalues for infinite matrices |
scientific article; zbMATH DE number 4019242 |
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Eigenvalues for infinite matrices (English)
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1987
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For diagonally dominant infinite matrices, the authors show that the inverse is compact, locate eigenvalues in terms of Gershgorin disks, show that the inverse can be approximated in a certain way by inverses of finite submatrices, and give a numerical method for eigenvalues of tridiagonal systems. This is applied to Mathieu's equation.
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compact inverse
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eigenvalue location
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diagonally dominant infinite matrices
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Gershgorin disks
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tridiagonal systems
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Mathieu's equation
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0.8948068
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0.89210117
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