We apply the filter technique to the model-based derivative-free trust region algorithm for solving nonlinear equations and nonlinear least-squares *** the work of Zhang et al.[SIAM ***.,20(2010),pp.3555-3576],we cons...
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We apply the filter technique to the model-based derivative-free trust region algorithm for solving nonlinear equations and nonlinear least-squares *** the work of Zhang et al.[SIAM ***.,20(2010),pp.3555-3576],we consider building the individual interpolation model for each component function in the nonlinear equations.A multidimensional filter,which is a list of n-tuples,is designed to potentially accept the trial point as the new iterate more *** far as we know,this is the first work to embed the filter mechanism into the model-based derivative-free *** suitable conditions,we establish the liminf-type and lim-type first-order global convergence results of the *** experiments show that the new algorithm is efficient.
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