On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations (Q2866799)
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scientific article; zbMATH DE number 6238623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations |
scientific article; zbMATH DE number 6238623 |
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On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations (English)
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16 December 2013
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two-step Newton-like projection method
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Newton method
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Hilbert space
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ill-posed equation
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semilocal convergence condition
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numerical examples
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0.9251284
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0.8974526
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The authors conduct a convergence analysis of a two-step Newton-like projection method for solving an ill-posed equations \(F(x) =y\) in a Hilbert space. They presented assumptions of convergence in an earlier paper and show that these assumptions can be replaced by weaker and easily verifiable assumptions. Error analysis, parameter choice strategy and implementation algorithms are discussed. A few examples are used to illustrate a verification of the proposed assumptions.
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