e-journal
On modified Newton methods with cubic convergence
Abstract.
In this paper, we present two new modified Newton methods for solving a non-linear equation, permitting f'(x) = 0 in some points. These new methods are showed to be cubically convergent. From the practical application, we show that these new methods are vast superior and possible in global convergence.
Keywords: Newton method; Third-order convergence; Non-linear equations; Root-finding; Iterative method
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