Some efficient seventh-order derivative-free families in root-finding

• Autorzy: Soleymani F.
• Języki publikacji: EN

Abstrakty

EN

The interest in efficient root-finding iterations is nowadays growing and influenced by the widespread use of high-speed computers. On the other hand, the calculation of derivatives is often hard, when the problems are formulated in terms of nonlinear equations and as a result, the importance of derivative-free methods emerges. For these reasons, some efficient three-step families of iterations for solving nonlinear equations are suggested, where the analytical proofs show their seventh-order error equations consuming only four function evaluations per iteration. We employ hard numerical test problems to illustrate the accuracy of the new methods from the families.

Słowa kluczowe

EN

numerical analysis; derivative-free families; order; iterative methods

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 1
• Strony: 163--173
• Opis fizyczny: Bibliogr. 13 poz., tab.

Twórcy

autor

Soleymani F.

• Islamic Azad University, Department of Mathematics, Zahedan Branch, Zahedan, Iran,

Bibliografia

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