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Intern J . ('ompufcv Vurh. VoI 32. pp 205-216 Rcpr~nt, a\a~lable d~rectl) from the publisher Photowpy~ng prlnittrd h) l~cenae onll (' 1990 Gordon and Breach. Sc~ence Publishers. Inc.A method for the numerical solution of systems of nonlinear algebraic andlor transcendental equations in R" is presented. This method reduces the dimensionality of the system in such a way that it can lead to an iterative approximate formula for the computation of n -1 components of the solution. while the remaining component of the solution is evaluated separately using the final approximations of the other components. This In -1)-dimensional iterative formula generates a sequence of points in Rn-' which converges quadratically to n -1 components of the solution. Moreover, it does not require a good initial guess for one component of the solution and it does not directly perform function evaluations, thus it can be applied to problems with imprecise function values. A proof of convergence is given and numerical applications are presented.

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