A note on the filtered least squares minimal norm solution of first kind equations (Q796263)
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scientific article; zbMATH DE number 3864399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the filtered least squares minimal norm solution of first kind equations |
scientific article; zbMATH DE number 3864399 |
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A note on the filtered least squares minimal norm solution of first kind equations (English)
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1984
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A convergence theorem of \textit{J. W. Lee} and \textit{P. M. Prenter} [Numer. Math. 30, 1-23 (1978; Zbl 0425.65074)] for the filtered least squares minimal norm method for the numerical solution of Fredholm integral equations of the first kind \((Kf=g)\) is corrected in this paper. Under suitable restrictions the filtered least squares method is shown to be well posed under compact perturbations in K and arbitrary perturbations in g.
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convergence theorem
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filtered least squares minimal norm method
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first kind
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well posed
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compact perturbations
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