On High Order Barycentric Root-Finding Methods
نویسندگان
چکیده
منابع مشابه
Root finding by high order iterative methods based on quadratures
We discuss a recursive family of iterative methods for the numerical approximation of roots of nonlinear functions in one variable. These methods are based on Newton-Cotes closed quadrature rules. We prove that when a quadrature rule with n+ 1 nodes is used the resulting iterative method has convergence order at least n+ 2, starting with the case n = 0 (which corresponds to the Newton’s method).
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ژورنال
عنوان ژورنال: TEMA (São Carlos)
سال: 2016
ISSN: 2179-8451,1677-1966
DOI: 10.5540/tema.2016.017.03.0321