A note on Newton type iterative methods (Q789153)
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scientific article; zbMATH DE number 3844948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Newton type iterative methods |
scientific article; zbMATH DE number 3844948 |
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A note on Newton type iterative methods (English)
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1984
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Some particular real functions are related to the so called Newton type iterative processes, i.e. iterations of the form \(x_{n+1}=x_ n-A(x_ n)^{-1}F(x_ n),\) which solve nonlinear operator equations in Banach spaces. This allows to obtain, at the same time, convergence conditions and a posteriori error estimates. The applicability of these estimates is studied and their behaviour illustrated by numerical examples.
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Newton type iterative processes
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Banach spaces
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convergence conditions
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a posteriori error estimates
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numerical examples
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