
A one-parameter family of three-step eighth-order multipoint iterative methods is proposed. The methods require three evaluations of the function and one evaluation of the first derivative. Convergence analysis is given, and numerical experiments show favourable comparison with existing methods.
Complexity and performance of numerical algorithms, convergence, uniparametric family, eighth-order convergence, Applied Mathematics, multipoint method, Numerical computation of solutions to single equations, numerical experiments, efficiency index
Complexity and performance of numerical algorithms, convergence, uniparametric family, eighth-order convergence, Applied Mathematics, multipoint method, Numerical computation of solutions to single equations, numerical experiments, efficiency index
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