Computation of the singular value expansion (Q1094850)
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scientific article; zbMATH DE number 4026769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of the singular value expansion |
scientific article; zbMATH DE number 4026769 |
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Computation of the singular value expansion (English)
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1988
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A method for computing the singular values and singular functions of real square-integrable kernels is presented. The analysis shows that a ``good'' discretization always yields a matrix whose singular value decomposition is closely related to the singular value expansion of the kernel. This relationship is important in connection with the solution of ill-posed problems since it shows that regularization of the algebraic problem, derived from an integral equation, is equivalent to the integral equation itself.
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ill-posed problems
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Fredholm integral equations of the first kind, singular value expansion, singular value decomposition, method of moments, regularization
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0.91065747
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0.90613425
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0.90613425
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0.89649886
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0.89597034
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0.89185065
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