Titlebook: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods; Masao Fukushima,Liqun Qi Book 1999 Springer Science+Business

FID

A Non-Interior Predictor-Corrector Path-Following Method for LCP, The method uses Chen—Harker—Kanzow—Smale smoothing techniques to track the central path and employs a refined notion for the neighborhood of the central path to obtain the boundedness of the iterates under the assumption of monotonicity and the existence of a feasible interior point. With these ass

愤世嫉俗者

Smoothing Newton Methods for Nonsmooth Dirichlet Problems, nonsmooth Dirichlet problems. We show that the smoothing Newton method converges globally and superlinearly for solving the system of nonsmooth equations arising from nonsmooth Dirichlet problems. Moreover, we show that the error bound for finite difference solution of smooth Poisson-type equations

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厚脸皮

Well-Posed Problems and Error Bounds in Optimization,for the problem. We give sufficient conditions for the problem to be well-posed and the existence of these error bounds. We show that the well-posedness can be characterized in terms of these error bounds when the problem is a convex program. As an application, we reproduce known error bound results

Alienated

Adherent

Merit Functions and Stability for Complementarity Problems,d to obtain such results for the former. In particular, for a new class of functions a result on the local upper Lipschitz-continuity of the solution set map belonging to the parametric complementarity problem is shown. This class of functions extends the class of uniform P-functions so that certain

hedonic

Minimax and Triality Theory in Nonsmooth Variational Problems, nonlinear (both geometrically and physically nonlinear) systems are clarified. We proved that the critical point of .(.*) is a saddle point if and only if the Gao-Strang’s gap function is positive. In this case, the system has only one dual problem. However if this gap function is negative, the cri

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