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A new smoothing algorithm for the solution of nonlinear complementarity problems (NCP) is introduced in this paper. It is based on semismooth equation reformulation of NCP by Fischer---Burmeister function and its related smooth approximation. In each ...

Motivated by the method of Martinez and Qi (Ref. 1), we propose in this paper a globally convergent inexact generalized Newton method to solve unconstrained optimization problems in which the objective functions have Lipschitz continuous gradient ...

Inexact Newton methods for finding a zero of $F:\mathbf{R}^n \to \mathbf{R}^n $ are variations of Newton’s method in which each step only approximately satisfies the linear Newton equation but still reduces the norm of the local linear model of F. Here, ...