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Browsing by Subject "order"

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  • thumbnail.journal.alt
    Item type:Thesis, Access status: Restricted ,
    Pewne przykłady nieprzeliczalnych rodzin podzbiorów zbioru $\mathbb{N}$
    (Data obrony: 2010-07-07) Mardosz, Barbara
    Wydział Matematyki Stosowanej
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Some efficient seventh-order derivative-free families in root-finding
    (2013) Soleymani, Fazlollah
    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.