A family of fifth-order iterations composed of Newton and third-order methods (Q884578)
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scientific article; zbMATH DE number 5161980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A family of fifth-order iterations composed of Newton and third-order methods |
scientific article; zbMATH DE number 5161980 |
Statements
A family of fifth-order iterations composed of Newton and third-order methods (English)
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6 June 2007
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A family of fifth-order methods formed by the composition of Newton and third-order methods for solving nonlinear equations is presented. Per iteration the new methods require two evaluations of the function, one of its first derivative and one of its second derivative. Numerical results show that the methods have definite practical utility.
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nonlinear equations
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iterative method
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Newton's method
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Chebyshev's method
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Halley's method
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Super-Halley's method
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fifth-order methods
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numerical results
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