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The Steffensen iteration method for systems of nonlinear equations - MaRDI portal

The Steffensen iteration method for systems of nonlinear equations (Q1064015)

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scientific article; zbMATH DE number 3919662
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The Steffensen iteration method for systems of nonlinear equations
scientific article; zbMATH DE number 3919662

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    The Steffensen iteration method for systems of nonlinear equations (English)
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    1984
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    The Steffensen iteration method is considered. The author derives an error estimate \(\| x^{(k+1)}-\bar x\| \leq M\| x^{(k)}-\bar x\|^ 2\), where \(x^{(k)}\), \(k=0,1,...\), are the approximations to the exact solution \(\bar x,\) without connecting it to the convergence analysis of the iteration method.
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    Steffensen iteration method
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    error estimate
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    convergence
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