Third-order iterative methods under Kantorovich conditions
نویسندگان
چکیده
منابع مشابه
THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS
In this paper, we present two new families of third-order and fourth-order methods for finding multiple roots of nonlinear equations. Each of them requires one evaluation of the function and two of its first derivative per iteration. Several numerical examples are given to illustrate the performance of the presented methods.
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In this paper we analyze the dynamical behaviour of the operators associated to multi-point iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second degree complex polynomials. We obtain that, in both cases, the Julia set is a connected set that separates the basins of attraction of the roots of the polynomial. Moreover, the Julia set of the operator a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.02.052