7 A SURVEY OF SOME NONSMOOTH EQUATIONS AND SMOOTHING NEWTON
METHODS1 Page 1 7 A SURVEY OF SOME NONSMOOTH EQUATIONS AND …

Multi-class classification is an important and on-going research subject in machine learning.
Recently, the ν-K-SVCR method was proposed by the authors for multi-class classification …

Regularization methods for the solution of nonlinear complementarity problems are standard
methods for the solution of monotone complementarity problems and possess strong …

Smoothing Newton methods for nonlinear complementarity problems NCP (F) often require
F to be at least a P 0-function in order to guarantee that the underlying Newton equation is …

Given a continuous P 0-function F: R n→ R n, we describe a method of constructing
trajectories associated with the P 0-equation F (x)= 0. Various well known equation-based …

In this paper, we propose a Big-Γ smoothing method for solving the P 0 matrix linear
complementarity problem. We study the trajectory defined by the augmented smoothing …

The classes of P-, P 0-, R 0-, semimonotone, strictly semimonotone, column sufficient, and
nondegenerate matrices play important roles in studying solution properties of equations …

Most known continuation methods for P0 complementarity problems require some restrictive
assumptions, such as the strictly feasible condition and the properness condition, to …

Using the homotopy invariance property of the degree and a newly introduced concept of
the interior-point-ε-exceptional family for continuous functions, we prove an alternative …

This paper studies the total stability of the solution set of a variational inequality when both
the de ning function and set are perturbed. Using a degree theoretic approach and …