On the improvements of the speed of convergence of some iterations converging to solutions of quadratic equations (Q1187265)
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scientific article; zbMATH DE number 39042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the improvements of the speed of convergence of some iterations converging to solutions of quadratic equations |
scientific article; zbMATH DE number 39042 |
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On the improvements of the speed of convergence of some iterations converging to solutions of quadratic equations (English)
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28 June 1992
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Using the contraction mapping principle the author proves some existence results for the equation \(x=Tx\) where \(Tx=y+B(x,x)\), \(B\) is a bounded bilinear operator from \(E\times E\) to \(E\), \(y\) is a fixed element from \(E\) and \(E\) is a Banach space.
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speed of convergence
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quadratic equations
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iterations
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contraction mapping principle
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Banach space
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