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Digitale Medien

Derivative free multipoint iterative methods for simple and multiple roots (1986)

Iyengar, S. R. K. ; Jain, R. K.

Springer

BIT 26 (1986), S. 93-99

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Details

ISSN: 1572-9125

Schlagwort(e): Primary 65HO5 ; nonlinear equation ; multiple roots ; multipoint iterative methods ; error constant ; stability ; efficiency

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01939365

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