A class of adaptive multivariate nonlinear iterative methods (Q1178582)
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scientific article; zbMATH DE number 21909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of adaptive multivariate nonlinear iterative methods |
scientific article; zbMATH DE number 21909 |
Statements
A class of adaptive multivariate nonlinear iterative methods (English)
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26 June 1992
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Multivariate iterative procedures, based on the use of multivariate rational Hermite interpolants, are introduced for the solution of systems of nonlinear equations. To this end, the most recent iteration points are used as interpolation points. Coalescent interpolation points are obtained by repeating the same iteration points a number of times. This new type of iterative procedure can be completely adapted to the cost of evaluating and/or differentiating the nonlinear equations in the system. It is useful to deal with singularities.
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adaptive multivariate nonlinear iterative methods
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Padé approximants
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rational Hermite interpolants
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systems of nonlinear equations
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interpolation
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