  Spectral residual methods are powerful tools for solving nonlinear systems of
equations without derivatives. In a recent paper, it was shown that an
acceleration technique based on the Sequential Secant Method can greatly
improve its efficiency and robustness. In the present work, an R implementation
of the method is presented. Numerical experiments with a widely used test bed
compares the presented approach with its plain (i.e. non-accelerated) version
that makes part of the R package BB. Additional numerical experiments compare
the proposed method with NITSOL, a state-of-the-art solver for nonlinear
systems. The comparison shows that the acceleration process greatly improves
the robustness of its counterpart included in the existent R package. As a
by-product, an interface is provided between R and the consolidated CUTEst
collection, which contains over a thousand nonlinear programming problems of
all types and represents a standard for evaluating the performance of
optimization methods.
