Iterative methods for nonlinear operator equations (Q1200230)
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scientific article; zbMATH DE number 96925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative methods for nonlinear operator equations |
scientific article; zbMATH DE number 96925 |
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Iterative methods for nonlinear operator equations (English)
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17 January 1993
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The authors present a nonlinear extension of the conjugate gradient method applied to the normal equations. It is assumed that the Jacobian and the Hessian of the nonlinear operator are uniformly bounded. Global and local convergence results for the nonlinear algorithms are proved and asymptotic steplength estimates and error bounds are given. No numerical examples.
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nonlinear operator equations
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Hilbert space
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conjugate gradient method
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normal equations
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local convergence
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asymptotic steplength estimates
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error bounds
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