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We present a modification of Steffensen’s method as a predictor–corrector iterative method, so that we can use Steffensen’s method to approximate a solution of a nonlinear equation in Banach spaces from the same starting points from which Newton’s method converges.We study the semilocal convergence of the predictor–correctormethodbyusing themajorant(More)
We present a modified method for solving nonlinear systems of equations with order of convergence higher than other competitive methods. We generalize also the efficiency index used in the one-dimensional case to several variables. Finally, we show some numerical examples, where the theoretical results obtained in this paper are applied.