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  • 1
    Electronic Resource
    Electronic Resource
    Derivative free multipoint iterative methods for simple and multiple roots (1986)
    Springer
    BIT 26 (1986), S. 93-99 
    Details
    ISSN: 1572-9125
    Keywords: Primary 65HO5 ; nonlinear equation ; multiple roots ; multipoint iterative methods ; error constant ; stability ; efficiency
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A one-parameter family of derivative free multipoint iterative methods of orders three and four are derived for finding the simple and multiple roots off(x)=0. For simple roots, the third order methods require three function evaluations while the fourth order methods require four function evaluations. For multiple roots, the third order methods require six function evaluations while the fourth order methods require eight function evaluations. Numerical results show the robustness of these methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01939365
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