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CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems
(Journal of Mathematical Chemistry, 2020-03)
The third-order iterative method designed by Weerakoon and Fernando includes the arithmetic mean of two functional evaluations in its expression. Replacing this arithmetic mean with different means, other iterative methods ...
On the choice of the best members of the Kim family and the improvement of its convergence
(Mathematical Methods in the Applied Sciences, 2020-09-30)
The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory ...
Suitable approximations for the self-accelerating parameters in iterative methods with memory
(2020-12-03)
Solving the nonlinear equation f(x)=0 is a common problem in several areas of Science and Engineering. Since exact solutions of the nonlinear equation are hardly available, scientists best rely on numerical solutions, such ...
Anomalies in the convergence of Traub-type methods with memory
(Blackwell Publishing Ltd, 2020)
The stability analysis of a new family of iterative methods with memory is introduced. This family, designed from Traub's method, allows to add memory through the introduction of an accelerating parameter. Hence, the speed ...