On a three-step \(1+\sqrt{2}\) order method for solving systems of nonlinear operator equations (Q2812860)
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scientific article; zbMATH DE number 6593001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a three-step \(1+\sqrt{2}\) order method for solving systems of nonlinear operator equations |
scientific article; zbMATH DE number 6593001 |
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13 June 2016
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multi-step method of solution
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algorithm convergence
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degenerate Jacobi matrix
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On a three-step \(1+\sqrt{2}\) order method for solving systems of nonlinear operator equations (English)
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The authors propose a three-step modification of the method with \(1+\sqrt{2}\) order of convergence for the solution of nonlinear operator equations. Convergence of the method is proved and error estimation is established. The modification is numerically analyzed by the test examples and its comparison with the basic method is carried out. The theoretical investigations are verified.
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