Geometric constructions of iterative functions to solve nonlinear equations
Journal of Computational and Applied Mathematics
An optimization of Chebyshev's method
Journal of Complexity
On a characterization of some Newton-like methods of R-order at least three
Journal of Computational and Applied Mathematics
Third-order iterative methods with applications to Hammerstein equations: A unified approach
Journal of Computational and Applied Mathematics
On Steffensen's method on Banach spaces
Journal of Computational and Applied Mathematics
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The application of high order iterative methods for solving nonlinear integral equations is not usual in mathematics. But, in this paper, we show that high order iterative methods can be used to solve a special case of nonlinear integral equations of Fredholm type and second kind. In particular, those that have the property of the second derivative of the corresponding operator have associated with them a vector of diagonal matrices once a process of discretization has been done.