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The convex and monotone functions associated with second-order cone

- J. Chen
- Mathematics
- 1 August 2006

Like the matrix-valued functions used in solutions methods for semidefinite programs (SDPs) and semidefinite complementarity problems (SDCPs), the vector-valued functions associated with second-order… Expand

44 4- PDF

Properties of circular cone and spectral factorization associated with circular cone

- Jinchuan Zhou, J. Chen
- Mathematics
- 1 October 2013

Circular cone includes second-order cone as a special case when the rotation angle is 45 degree. This paper gives an insight on circular cone, in which we describe the tangent cone, normal cone,… Expand

36 4

A proximal-like algorithm for a class of nonconvex programming

In this paper, we study a proximal-like algorithm for minimizing a closed proper function f(x) subject to x ‚ 0, based on the iterative scheme: x k 2 argminff(x)+ "kd(x;x ki1 )g, where d(¢;¢) is an… Expand

10 4- PDF

A survey on SOC complementarity functions and solution methods for SOCPs and SOCCPs

This paper makes a survey on SOC complementarity functions and related solution methods for the second-order cone programming (SOCP) and second-order cone complementarity problem (SOCCP).… Expand

46 3- PDF

A one-parametric class of merit functions for the symmetric cone complementarity problem

Abstract In this paper, we extend the one-parametric class of merit functions proposed by Kanzow and Kleinmichel [C. Kanzow, H. Kleinmichel, A new class of semismooth Newton-type methods for… Expand

37 3- PDF

A Damped Gauss-Newton Method for the Second-Order Cone Complementarity Problem

We investigate some properties related to the generalized Newton method for the Fischer-Burmeister (FB) function over second-order cones, which allows us to reformulate the second-order cone… Expand

46 3- PDF

Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems

- Shenglong Hu, Z. Huang, J. Chen
- Mathematics
- 1 August 2009

In this paper, we propose a new family of NCP-functions and the corresponding merit functions, which are the generalization of some popular NCP-functions and the related merit functions. We show that… Expand

36 2- PDF

A new merit function and its related properties for the second-order cone complementarity problem

- J. Chen
- Mathematics
- 2006

Recently, J.-S. Chen and P. Tseng extended two merit functions for the non- linear complementarity problem (NCP) and the semideflnite complementarity problem (SDCP) to the second-order cone… Expand

23 2- PDF

A regularization semismooth Newton method based on the generalized Fischer-Burmeister function for P0-NCPs

We consider a regularization method for nonlinear complementarity problems with F being a P"0-function which replaces the original problem with a sequence of the regularized complementarity problems.… Expand

22 2- PDF

What is the generalization of natural residual function for NCP

- J. Chen, Chun-Hsu Ko, X. Wu
- Chemistry
- 2016

It is well known that the generalized Fischer-Burmeister is a natural extension of the popular Fischer-Burmeister function NCP-function, in which the 2-norm is replaced by general p-norm. As for… Expand

8 2- PDF

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