This paper extends the Lagrangian globalization (LG) method to the nonsmooth equation Φ(x) = 0 arising from nonlinear complementarity problems NCP and presents a descent algorithm for the LG phase. The aim of this paper is not to present a new method for solving NCP, but to find x̂ such that ‖Φ(x̂)‖ < ‖Φ(x̄)‖ when the NCP has a solution and x̄ is a stationary point but not a solution.

This ms describes a dataset collected during 4 quasi-meridianal cruises from 19951999, bisecting the Atlantic Ocean as part of the LATITUD project. While there were some differences in sampling design, cruises generally followed a diagonal pattern across the Atlantic Basin from the coast of Africa to the coast of South America. Surface waters were sampled at from 10-34 stations per cruise. Incu...

A continuous approach using NCP function for approximating the solution of the max-cut problem is proposed. The max-cut problem is relaxed into an equivalent nonlinearly constrained continuous optimization problem and a feasible direction method without line searches is presented for generating an optimal solution of the relaxed continuous optimization problem. The convergence of the algorithm ...

MODFLOW is a groundwater modeling program. It can be compiled and remedied according to the practical applications. Because of its structure and fixed data format, MODFLOW can be integrated with Geographic Information Systems (GIS) technology for water resource management. The North China Plain (NCP), which is the politic, economic and cultural center of China, is facing with water resources sh...

We consider a regularization method for nonlinear complementarity problems with F being a P0-function which replaces the original problem with a sequence of the regularized complementarity problems. In this paper, this sequence of regularized complementarity problems are solved approximately by applying the generalized Newton method for an equivalent augmented system of equations, constructed b...

Monoclonal hBMP/NCP (human bone morphogenetic protein and associated noncollagenous proteins) antibodies of the IgG class were produced. In vitro, 12 of 19 hBMP/NCP antibodies showed functional inhibition of hBMP/NCP-induced chondroneogenesis in a neonatal muscle tissue assay. Inducing factors were characterized by their inhibiting antibodies with immunoblotting. Several peptide factors seem to...

In this paper we formulate the problem of multiuser power control for digital subscriber lines (DSL) as a nonlinear complementarity problem (NCP). We study conditions under which the resulting NCP belongs to the class P0 and its solution is B-regular. The NCP formulation makes it possible to use the Newton type smoothing methods to efficiently compute a Nash equilibrium solution. In our compute...

In this paper, the authors describe and establish the convergence of a new iterative method for solving the (nonmonotone) nonlinear complementarity problem (NCP). The method utilizes ideas from two distinct approaches for solving this problem and combines them into one unified framework. One of these is the infeasible-interior-point approach that computes an approximate solution to the NCP by s...

The nucleosome core particle (NCP) is the fundamental building block of chromatin which compacts approximately 146 bp of DNA around a core histone protein octamer. The effects of NCP packaging on long-range DNA charge transport reactions have not been adequately assessed to date. Here we study DNA hole transport reactions in a 157 bp DNA duplex (AQ-157TG) incorporating multiple repeats of the D...