Application of nonsmooth optimization methods to solving nonlinear operator equations (Q1571234)
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scientific article; zbMATH DE number 1472965
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of nonsmooth optimization methods to solving nonlinear operator equations |
scientific article; zbMATH DE number 1472965 |
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Application of nonsmooth optimization methods to solving nonlinear operator equations (English)
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21 August 2001
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The authors analyse the noise stability of subgradient-type methods as applied to determining regular and singular solutions to nonlinear operator equation in Hilbert spaces \(X,Y:F(x)=0\) with the operator \(F:X\rightarrow{Y}\) that is Fréchet differentiable. It is shown that all conditions for implementing the developed iterative process are fulfilled and the noise errors are sufficiently small.
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nonlinear operator equations
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nonsmooth optimization methods
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subgradient-type methods
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noise stability
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Hilbert spaces
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singular solution
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