On semilocal convergence of two-step iteration methods (Q2638728)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semilocal convergence of two-step iteration methods |
scientific article |
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On semilocal convergence of two-step iteration methods (English)
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1990
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Let X be a normed linear space, \(F:X\to X\) a nonlinear mapping, \(y^*\) an exact solution of \(F(y)=0\), \((y_ k)\) a sequence obtained by the two- step iterative method, \(\epsilon\) a given positive number. Some conditions under which the exactness \(\| y^*-y_ k\| \leq \epsilon\) can be reached by the finite number of iterations are derived.
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semilocal convergence
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estimates
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normed linear space
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two-step iterative method
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