New iterations of R-order four with reduced computational cost
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From a one-point iterative method of R-order at least three, we construct new two-point iterations to solve nonlinear equations in Banach spaces such that the computational cost is reduced, whereas the R-order of convergence is increased to at least four.
KeywordsNonlinear equations in Banach spaces Semilocal convergence Recurrence relations A priori error estimates R-order of convergence
Mathematics Subject Classification (2000)45G10 47H17 65J15
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