New iterations of R-order four with reduced computational cost
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- Ezquerro, J.A. & Hernández, M.A. Bit Numer Math (2009) 49: 325. doi:10.1007/s10543-009-0226-z
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.