An improvement to the computing of nonlinear equation solutions (Q1413738)
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scientific article; zbMATH DE number 2005324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An improvement to the computing of nonlinear equation solutions |
scientific article; zbMATH DE number 2005324 |
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An improvement to the computing of nonlinear equation solutions (English)
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17 November 2003
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The author suggests an improved iterative method (generalised Hermite interpolation) for calculating approximate solutions to nonlinear algebraic equations with increased order of local convergence. Best coefficients in regards to the order of convergence are determined through symbolic computation. Computational costs are decreased by use of multi precision arithmetics. The theory is illustrated by high precision examples.
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Hermite's inverse interpolation formula
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nonlinear algebraic equations
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iterative methods
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order of convergence
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function evaluations
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symbolic computation
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numerical examples
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