On an application of a modification of the Zincenko method to the approximation of implicit functions (Q1188371)
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scientific article; zbMATH DE number 40543
| Language | Label | Description | Also known as |
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| English | On an application of a modification of the Zincenko method to the approximation of implicit functions |
scientific article; zbMATH DE number 40543 |
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On an application of a modification of the Zincenko method to the approximation of implicit functions (English)
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13 August 1992
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Summary: We use the Zincenko iteration to approximate implicit functions in a Banach space by solving a linear algebraic system of finite order. The nonlinear equations involved contain a non-differentiable term. Our hypotheses are more general than \textit{P. P. Zabrejko} and \textit{D. F. Nguen's} [Numer. Funct. Anal. Optimization 9, 671-674 (1987; Zbl 0627.65069)], in this case.
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approximate implicit functions in a Banach space
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linear algebraic system of finite order
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